mathematics for social and behavior sciences
TRANSCRIPT
![Page 1: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/1.jpg)
Mathematics forSocial and Behavior Sciences
Don SaariMath and
Institute for Math Behavioral Scienceswww.imbs.uci.edu
University of California, Irvine [email protected]
Monday, October 13, 14
![Page 2: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/2.jpg)
Mathematics forSocial and Behavior Sciences
Don SaariMath and
Institute for Math Behavioral Scienceswww.imbs.uci.edu
University of California, Irvine [email protected]
Interactive:
Monday, October 13, 14
![Page 3: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/3.jpg)
Mathematics forSocial and Behavior Sciences
Don SaariMath and
Institute for Math Behavioral Scienceswww.imbs.uci.edu
University of California, Irvine [email protected]
Interactive: WGAD
Monday, October 13, 14
![Page 4: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/4.jpg)
Mathematics forSocial and Behavior Sciences
Don SaariMath and
Institute for Math Behavioral Scienceswww.imbs.uci.edu
University of California, Irvine [email protected]
Interactive: WGAD
Math of physical sciences:
Monday, October 13, 14
![Page 5: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/5.jpg)
Mathematics forSocial and Behavior Sciences
Don SaariMath and
Institute for Math Behavioral Scienceswww.imbs.uci.edu
University of California, Irvine [email protected]
Interactive: WGAD
Math of physical sciences:Historical source of power
Monday, October 13, 14
![Page 6: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/6.jpg)
Mathematics forSocial and Behavior Sciences
Don SaariMath and
Institute for Math Behavioral Scienceswww.imbs.uci.edu
University of California, Irvine [email protected]
Interactive: WGAD
Math of physical sciences:Historical source of power
Change of interest? Students:
Monday, October 13, 14
![Page 7: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/7.jpg)
Mathematics forSocial and Behavior Sciences
Don SaariMath and
Institute for Math Behavioral Scienceswww.imbs.uci.edu
University of California, Irvine [email protected]
Interactive: WGAD
Math of physical sciences:Historical source of power
Change of interest? Students: moved into math of social and
behavioral sciences
Monday, October 13, 14
![Page 8: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/8.jpg)
Mathematics forSocial and Behavior Sciences
Don SaariMath and
Institute for Math Behavioral Scienceswww.imbs.uci.edu
University of California, Irvine [email protected]
Interactive: WGAD
Math of physical sciences:Historical source of power
Change of interest? Students: moved into math of social and
behavioral sciencesDirector of institute
Monday, October 13, 14
![Page 9: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/9.jpg)
Mathematics forSocial and Behavior Sciences
Don SaariMath and
Institute for Math Behavioral Scienceswww.imbs.uci.edu
University of California, Irvine [email protected]
Interactive: WGAD
Math of physical sciences:Historical source of power
Change of interest? Students: moved into math of social and
behavioral sciencesDirector of institute
Problems
Monday, October 13, 14
![Page 10: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/10.jpg)
Mathematics forSocial and Behavior Sciences
Don SaariMath and
Institute for Math Behavioral Scienceswww.imbs.uci.edu
University of California, Irvine [email protected]
Interactive: WGAD
Math of physical sciences:Historical source of power
Change of interest? Students: moved into math of social and
behavioral sciencesDirector of institute
Problems
Conference video link
Monday, October 13, 14
![Page 11: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/11.jpg)
Mathematics forSocial and Behavior Sciences
Don SaariMath and
Institute for Math Behavioral Scienceswww.imbs.uci.edu
University of California, Irvine [email protected]
Interactive: WGAD
Math of physical sciences:Historical source of power
Change of interest? Students: moved into math of social and
behavioral sciencesDirector of institute
Problems
Conference video link
Opportunities: leadership
Monday, October 13, 14
![Page 12: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/12.jpg)
Mathematics forSocial and Behavior Sciences
Don SaariMath and
Institute for Math Behavioral Scienceswww.imbs.uci.edu
University of California, Irvine [email protected]
Interactive: WGAD
Math of physical sciences:Historical source of power
Change of interest? Students: moved into math of social and
behavioral sciencesDirector of institute
Problems
Conference video link
Opportunities: leadershipOpportunities: Students
Monday, October 13, 14
![Page 13: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/13.jpg)
Mathematics forSocial and Behavior Sciences
Don SaariMath and
Institute for Math Behavioral Scienceswww.imbs.uci.edu
University of California, Irvine [email protected]
Interactive: WGAD
Math of physical sciences:Historical source of power
Change of interest? Students: moved into math of social and
behavioral sciencesDirector of institute
Problems
Conference video link
Opportunities: leadershipOpportunities: Students
Finance
Monday, October 13, 14
![Page 14: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/14.jpg)
Mathematics forSocial and Behavior Sciences
Don SaariMath and
Institute for Math Behavioral Scienceswww.imbs.uci.edu
University of California, Irvine [email protected]
Interactive: WGAD
Math of physical sciences:Historical source of power
Change of interest? Students: moved into math of social and
behavioral sciencesDirector of institute
Problems
Conference video link
Opportunities: leadershipOpportunities: Students
FinanceEconomics, management, OR
Monday, October 13, 14
![Page 15: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/15.jpg)
Mathematics forSocial and Behavior Sciences
Don SaariMath and
Institute for Math Behavioral Scienceswww.imbs.uci.edu
University of California, Irvine [email protected]
Interactive: WGAD
Math of physical sciences:Historical source of power
Change of interest? Students: moved into math of social and
behavioral sciencesDirector of institute
Problems
Conference video link
Opportunities: leadershipOpportunities: Students
FinanceEconomics, management, OR
Political Science
Monday, October 13, 14
![Page 16: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/16.jpg)
Mathematics forSocial and Behavior Sciences
Don SaariMath and
Institute for Math Behavioral Scienceswww.imbs.uci.edu
University of California, Irvine [email protected]
Interactive: WGAD
Math of physical sciences:Historical source of power
Change of interest? Students: moved into math of social and
behavioral sciencesDirector of institute
Problems
Conference video link
Opportunities: leadershipOpportunities: Students
FinanceEconomics, management, OR
Political Science Sociology
Monday, October 13, 14
![Page 17: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/17.jpg)
Mathematics forSocial and Behavior Sciences
Don SaariMath and
Institute for Math Behavioral Scienceswww.imbs.uci.edu
University of California, Irvine [email protected]
Interactive: WGAD
Math of physical sciences:Historical source of power
Change of interest? Students: moved into math of social and
behavioral sciencesDirector of institute
Problems
Conference video link
Opportunities: leadershipOpportunities: Students
FinanceEconomics, management, OR
Political Science Sociology
Cognitive SciencesMonday, October 13, 14
![Page 18: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/18.jpg)
Mathematics forSocial and Behavior Sciences
Don SaariMath and
Institute for Math Behavioral Scienceswww.imbs.uci.edu
University of California, Irvine [email protected]
Interactive: WGAD
Math of physical sciences:Historical source of power
Change of interest? Students: moved into math of social and
behavioral sciencesDirector of institute
Problems
What is needed; particularly in first couple of years?
Conference video link
Opportunities: leadershipOpportunities: Students
FinanceEconomics, management, OR
Political Science Sociology
Cognitive SciencesMonday, October 13, 14
![Page 19: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/19.jpg)
Mathematics forSocial and Behavior Sciences
Don SaariMath and
Institute for Math Behavioral Scienceswww.imbs.uci.edu
University of California, Irvine [email protected]
Interactive: WGAD
Math of physical sciences:Historical source of power
Change of interest? Students: moved into math of social and
behavioral sciencesDirector of institute
Problems
What is needed; particularly in first couple of years?
I do believe that calculus is far more naturally connected to econ and stats than engineering.
Conference video link
Opportunities: leadershipOpportunities: Students
FinanceEconomics, management, OR
Political Science Sociology
Cognitive SciencesMonday, October 13, 14
![Page 20: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/20.jpg)
Mathematics forSocial and Behavior Sciences
Don SaariMath and
Institute for Math Behavioral Scienceswww.imbs.uci.edu
University of California, Irvine [email protected]
Interactive: WGAD
Math of physical sciences:Historical source of power
Change of interest? Students: moved into math of social and
behavioral sciencesDirector of institute
Problems
What is needed; particularly in first couple of years?
I do believe that calculus is far more naturally connected to econ and stats than engineering.Much in calculus can be dropped!
Conference video link
Opportunities: leadershipOpportunities: Students
FinanceEconomics, management, OR
Political Science Sociology
Cognitive SciencesMonday, October 13, 14
![Page 21: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/21.jpg)
Mathematics forSocial and Behavior Sciences
Don SaariMath and
Institute for Math Behavioral Scienceswww.imbs.uci.edu
University of California, Irvine [email protected]
Interactive: WGAD
Math of physical sciences:Historical source of power
Change of interest? Students: moved into math of social and
behavioral sciencesDirector of institute
Problems
What is needed; particularly in first couple of years?
I do believe that calculus is far more naturally connected to econ and stats than engineering.Much in calculus can be dropped!Conceptual understanding--they will be facing new problems
Conference video link
Opportunities: leadershipOpportunities: Students
FinanceEconomics, management, OR
Political Science Sociology
Cognitive SciencesMonday, October 13, 14
![Page 22: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/22.jpg)
Mathematics forSocial and Behavior Sciences
Don SaariMath and
Institute for Math Behavioral Scienceswww.imbs.uci.edu
University of California, Irvine [email protected]
Interactive: WGAD
Math of physical sciences:Historical source of power
Change of interest? Students: moved into math of social and
behavioral sciencesDirector of institute
Problems
What is needed; particularly in first couple of years?
I do believe that calculus is far more naturally connected to econ and stats than engineering.Much in calculus can be dropped!Conceptual understanding--they will be facing new problemsE.g., Riemann sums vs integrals
Conference video link
Opportunities: leadershipOpportunities: Students
FinanceEconomics, management, OR
Political Science Sociology
Cognitive SciencesMonday, October 13, 14
![Page 23: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/23.jpg)
Mathematics forSocial and Behavior Sciences
Don SaariMath and
Institute for Math Behavioral Scienceswww.imbs.uci.edu
University of California, Irvine [email protected]
Interactive: WGAD
Math of physical sciences:Historical source of power
Change of interest? Students: moved into math of social and
behavioral sciencesDirector of institute
Problems
What is needed; particularly in first couple of years?
I do believe that calculus is far more naturally connected to econ and stats than engineering.Much in calculus can be dropped!Conceptual understanding--they will be facing new problemsE.g., Riemann sums vs integrals
Conference video link
Opportunities: leadershipOpportunities: Students
FinanceEconomics, management, OR
Political Science Sociology
Cognitive SciencesMonday, October 13, 14
![Page 24: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/24.jpg)
Mathematics forSocial and Behavior Sciences
Don SaariMath and
Institute for Math Behavioral Scienceswww.imbs.uci.edu
University of California, Irvine [email protected]
Interactive: WGAD
Math of physical sciences:Historical source of power
Change of interest? Students: moved into math of social and
behavioral sciencesDirector of institute
Problems
What is needed; particularly in first couple of years?
I do believe that calculus is far more naturally connected to econ and stats than engineering.Much in calculus can be dropped!Conceptual understanding--they will be facing new problemsE.g., Riemann sums vs integrals
Firm belief:
Conference video link
Opportunities: leadershipOpportunities: Students
FinanceEconomics, management, OR
Political Science Sociology
Cognitive SciencesMonday, October 13, 14
![Page 25: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/25.jpg)
Mathematics forSocial and Behavior Sciences
Don SaariMath and
Institute for Math Behavioral Scienceswww.imbs.uci.edu
University of California, Irvine [email protected]
Interactive: WGAD
Math of physical sciences:Historical source of power
Change of interest? Students: moved into math of social and
behavioral sciencesDirector of institute
Problems
What is needed; particularly in first couple of years?
I do believe that calculus is far more naturally connected to econ and stats than engineering.Much in calculus can be dropped!Conceptual understanding--they will be facing new problemsE.g., Riemann sums vs integrals
Firm belief:All students need exposure to
computing and data
Conference video link
Opportunities: leadershipOpportunities: Students
FinanceEconomics, management, OR
Political Science Sociology
Cognitive SciencesMonday, October 13, 14
![Page 26: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/26.jpg)
Mathematics forSocial and Behavior Sciences
Don SaariMath and
Institute for Math Behavioral Scienceswww.imbs.uci.edu
University of California, Irvine [email protected]
Interactive: WGAD
Math of physical sciences:Historical source of power
Change of interest? Students: moved into math of social and
behavioral sciencesDirector of institute
Problems
What is needed; particularly in first couple of years?
I do believe that calculus is far more naturally connected to econ and stats than engineering.Much in calculus can be dropped!Conceptual understanding--they will be facing new problemsE.g., Riemann sums vs integrals
Firm belief:All students need exposure to
computing and dataMatlab
Conference video link
Opportunities: leadershipOpportunities: Students
FinanceEconomics, management, OR
Political Science Sociology
Cognitive SciencesMonday, October 13, 14
![Page 27: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/27.jpg)
Mathematics forSocial and Behavior Sciences
Don SaariMath and
Institute for Math Behavioral Scienceswww.imbs.uci.edu
University of California, Irvine [email protected]
Interactive: WGAD
Math of physical sciences:Historical source of power
Change of interest? Students: moved into math of social and
behavioral sciencesDirector of institute
Problems
What is needed; particularly in first couple of years?
I do believe that calculus is far more naturally connected to econ and stats than engineering.Much in calculus can be dropped!Conceptual understanding--they will be facing new problemsE.g., Riemann sums vs integrals
Firm belief:All students need exposure to
computing and dataMatlab
Statistics
Conference video link
Opportunities: leadershipOpportunities: Students
FinanceEconomics, management, OR
Political Science Sociology
Cognitive SciencesMonday, October 13, 14
![Page 28: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/28.jpg)
Mathematics forSocial and Behavior Sciences
Don SaariMath and
Institute for Math Behavioral Scienceswww.imbs.uci.edu
University of California, Irvine [email protected]
Interactive: WGAD
Math of physical sciences:Historical source of power
Change of interest? Students: moved into math of social and
behavioral sciencesDirector of institute
Problems
What is needed; particularly in first couple of years?
I do believe that calculus is far more naturally connected to econ and stats than engineering.Much in calculus can be dropped!Conceptual understanding--they will be facing new problemsE.g., Riemann sums vs integrals
Firm belief:All students need exposure to
computing and dataMatlab
StatisticsBayesian “updating”
Conference video link
Opportunities: leadershipOpportunities: Students
FinanceEconomics, management, OR
Political Science Sociology
Cognitive SciencesMonday, October 13, 14
![Page 29: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/29.jpg)
Party time! (Example of problems in social sciences)
Monday, October 13, 14
![Page 30: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/30.jpg)
Party time! (Example of problems in social sciences)
6
5
4
Monday, October 13, 14
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Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Monday, October 13, 14
![Page 32: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/32.jpg)
Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Beer, Wine, Milk
Monday, October 13, 14
![Page 33: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/33.jpg)
Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Beer, Wine, Milk
Wine, Beer, Milk
Monday, October 13, 14
![Page 34: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/34.jpg)
Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Beer, Wine, Milk
Wine, Beer, Milk
Monday, October 13, 14
![Page 35: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/35.jpg)
Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Beer, Wine, Milk
Wine, Beer, Milk
Monday, October 13, 14
![Page 36: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/36.jpg)
Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Beer, Wine, Milk
Wine, Beer, Milk
Monday, October 13, 14
![Page 37: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/37.jpg)
Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Beer, Wine, Milk
Wine, Beer, Milk
PluralityMilk-6, Beer-5, Wine-4
Monday, October 13, 14
![Page 38: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/38.jpg)
Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Beer, Wine, Milk
Wine, Beer, Milk
PluralityMilk-6, Beer-5, Wine-4
Monday, October 13, 14
![Page 39: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/39.jpg)
Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Beer, Wine, Milk
Wine, Beer, Milk
PluralityMilk-6, Beer-5, Wine-4
Monday, October 13, 14
![Page 40: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/40.jpg)
Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Beer, Wine, Milk
Wine, Beer, Milk
PluralityMilk-6, Beer-5, Wine-4
Monday, October 13, 14
![Page 41: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/41.jpg)
Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Beer, Wine, Milk
Wine, Beer, Milk
PluralityMilk-6, Beer-5, Wine-4
Monday, October 13, 14
![Page 42: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/42.jpg)
Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Beer, Wine, Milk
Wine, Beer, Milk
PluralityMilk-6, Beer-5, Wine-4
Milk Wine
Monday, October 13, 14
![Page 43: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/43.jpg)
Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Beer, Wine, Milk
Wine, Beer, Milk
PluralityMilk-6, Beer-5, Wine-4
Milk Wine
Monday, October 13, 14
![Page 44: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/44.jpg)
Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Beer, Wine, Milk
Wine, Beer, Milk
PluralityMilk-6, Beer-5, Wine-4
Milk Wine
Monday, October 13, 14
![Page 45: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/45.jpg)
Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Beer, Wine, Milk
Wine, Beer, Milk
PluralityMilk-6, Beer-5, Wine-4
Milk Wine
6 9
Monday, October 13, 14
![Page 46: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/46.jpg)
Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Beer, Wine, Milk
Wine, Beer, Milk
PluralityMilk-6, Beer-5, Wine-4
Milk Wine
6 9
Monday, October 13, 14
![Page 47: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/47.jpg)
Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Beer, Wine, Milk
Wine, Beer, Milk
PluralityMilk-6, Beer-5, Wine-4
Milk Wine
6 9
Monday, October 13, 14
![Page 48: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/48.jpg)
Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Beer, Wine, Milk
Wine, Beer, Milk
PluralityMilk-6, Beer-5, Wine-4
Milk Wine
6 9
Monday, October 13, 14
![Page 49: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/49.jpg)
Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Beer, Wine, Milk
Wine, Beer, Milk
PluralityMilk-6, Beer-5, Wine-4
Milk Wine
6 9
Milk Beer
Monday, October 13, 14
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Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Beer, Wine, Milk
Wine, Beer, Milk
PluralityMilk-6, Beer-5, Wine-4
Milk Wine
6 9
Milk Beer
Monday, October 13, 14
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Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Beer, Wine, Milk
Wine, Beer, Milk
PluralityMilk-6, Beer-5, Wine-4
Milk Wine
6 9
Milk Beer
6 9
Monday, October 13, 14
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Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Beer, Wine, Milk
Wine, Beer, Milk
PluralityMilk-6, Beer-5, Wine-4
Milk Wine
6 9
Milk Beer
6 9
Monday, October 13, 14
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Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Beer, Wine, Milk
Wine, Beer, Milk
PluralityMilk-6, Beer-5, Wine-4
Milk Wine
6 9
Milk Beer
6 9
Beer Wine
Monday, October 13, 14
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Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Beer, Wine, Milk
Wine, Beer, Milk
PluralityMilk-6, Beer-5, Wine-4
Milk Wine
6 9
Milk Beer
6 9
Beer Wine
Monday, October 13, 14
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Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Beer, Wine, Milk
Wine, Beer, Milk
PluralityMilk-6, Beer-5, Wine-4
Milk Wine
6 9
Milk Beer
6 9
Beer Wine
5 10
Monday, October 13, 14
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Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Beer, Wine, Milk
Wine, Beer, Milk
PluralityMilk-6, Beer-5, Wine-4
Milk Wine
6 9
Milk Beer
6 9
Beer Wine
5 10
Monday, October 13, 14
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Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Beer, Wine, Milk
Wine, Beer, Milk
PluralityMilk-6, Beer-5, Wine-4
Milk Wine
6 9
Milk Beer
6 9
Beer Wine
5 10
PairwiseWine, Beer, Milk
Monday, October 13, 14
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Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Beer, Wine, Milk
Wine, Beer, Milk
PluralityMilk-6, Beer-5, Wine-4
Milk Wine
6 9
Milk Beer
6 9
Beer Wine
5 10
PairwiseWine, Beer, Milk
Beer?
Monday, October 13, 14
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Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Beer, Wine, Milk
Wine, Beer, Milk
PluralityMilk-6, Beer-5, Wine-4
Milk Wine
6 9
Milk Beer
6 9
Beer Wine
5 10
PairwiseWine, Beer, Milk
Beer?Runoff election
Monday, October 13, 14
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Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Beer, Wine, Milk
Wine, Beer, Milk
PluralityMilk-6, Beer-5, Wine-4
Milk Wine
6 9
Milk Beer
6 9
Beer Wine
5 10
PairwiseWine, Beer, Milk
Beer?Runoff election
Monday, October 13, 14
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Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Beer, Wine, Milk
Wine, Beer, Milk
PluralityMilk-6, Beer-5, Wine-4
Milk Wine
6 9
Milk Beer
6 9
Beer Wine
5 10
PairwiseWine, Beer, Milk
Beer?Runoff election
Monday, October 13, 14
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Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Beer, Wine, Milk
Wine, Beer, Milk
PluralityMilk-6, Beer-5, Wine-4
Milk Wine
6 9
Milk Beer
6 9
Beer Wine
5 10
PairwiseWine, Beer, Milk
Beer?Runoff election
Rather than voter preferences, an election outcome can
Monday, October 13, 14
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Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Beer, Wine, Milk
Wine, Beer, Milk
PluralityMilk-6, Beer-5, Wine-4
Milk Wine
6 9
Milk Beer
6 9
Beer Wine
5 10
PairwiseWine, Beer, Milk
Beer?Runoff election
Rather than voter preferences, an election outcome can reflect the choice of an election method!
Monday, October 13, 14
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Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Beer, Wine, Milk
Wine, Beer, Milk
PluralityMilk-6, Beer-5, Wine-4
Milk Wine
6 9
Milk Beer
6 9
Beer Wine
5 10
PairwiseWine, Beer, Milk
Beer?Runoff election
Rather than voter preferences, an election outcome can reflect the choice of an election method!
Basic problem faced by mathematics of social choice;
Monday, October 13, 14
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Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Beer, Wine, Milk
Wine, Beer, Milk
PluralityMilk-6, Beer-5, Wine-4
Milk Wine
6 9
Milk Beer
6 9
Beer Wine
5 10
PairwiseWine, Beer, Milk
Beer?Runoff election
Rather than voter preferences, an election outcome can reflect the choice of an election method!
Basic problem faced by mathematics of social choice;How do we find an “appropriate decision method?”
Monday, October 13, 14
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Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Beer, Wine, Milk
Wine, Beer, Milk
PluralityMilk-6, Beer-5, Wine-4
Milk Wine
6 9
Milk Beer
6 9
Beer Wine
5 10
PairwiseWine, Beer, Milk
Beer?Runoff election
Rather than voter preferences, an election outcome can reflect the choice of an election method!
Basic problem faced by mathematics of social choice;How do we find an “appropriate decision method?”
But, this is a simple aggregation method: social and behavioral Basic problem faced by mathematics of economics;
How do we find an “appropriate ----”Monday, October 13, 14
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Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Beer, Wine, Milk
Wine, Beer, Milk
PluralityMilk-6, Beer-5, Wine-4
Milk Wine
6 9
Milk Beer
6 9
Beer Wine
5 10
PairwiseWine, Beer, Milk
Beer?Runoff election
Rather than voter preferences, an election outcome can reflect the choice of an election method!
Basic problem faced by mathematics of social choice;How do we find an “appropriate decision method?”
But, this is a simple aggregation method: social and behavioral Basic problem faced by mathematics of economics;
How do we find an “appropriate ----”
Mathematics?
Monday, October 13, 14
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Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Beer, Wine, Milk
Wine, Beer, Milk
PluralityMilk-6, Beer-5, Wine-4
Milk Wine
6 9
Milk Beer
6 9
Beer Wine
5 10
PairwiseWine, Beer, Milk
Beer?Runoff election
Rather than voter preferences, an election outcome can reflect the choice of an election method!
Basic problem faced by mathematics of social choice;How do we find an “appropriate decision method?”
But, this is a simple aggregation method: social and behavioral Basic problem faced by mathematics of economics;
How do we find an “appropriate ----”
Mathematics?Reductionist
Monday, October 13, 14
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Party time! (Example of problems in social sciences)
6
5
4
Milk,Wine,Beer
Beer, Wine, Milk
Wine, Beer, Milk
PluralityMilk-6, Beer-5, Wine-4
Milk Wine
6 9
Milk Beer
6 9
Beer Wine
5 10
PairwiseWine, Beer, Milk
Beer?Runoff election
Rather than voter preferences, an election outcome can reflect the choice of an election method!
Basic problem faced by mathematics of social choice;How do we find an “appropriate decision method?”
But, this is a simple aggregation method: social and behavioral Basic problem faced by mathematics of economics;
How do we find an “appropriate ----”
Mathematics?Reductionist
Symmetry groups
Monday, October 13, 14
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Differences in classes that make a difference
Monday, October 13, 14
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Differences in classes that make a difference
Dot products:
Monday, October 13, 14
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Differences in classes that make a difference
Dot products:Dimensions n=2, 3
Monday, October 13, 14
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Differences in classes that make a difference
Dot products:Dimensions n=2, 3
Economics, Operations Research, Management, etc.
Monday, October 13, 14
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Differences in classes that make a difference
Dot products:Dimensions n=2, 3
Economics, Operations Research, Management, etc.
all dimensions
Monday, October 13, 14
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Differences in classes that make a difference
Dot products:Dimensions n=2, 3
Economics, Operations Research, Management, etc.
all dimensions
Example:
Monday, October 13, 14
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Differences in classes that make a difference
Dot products:Dimensions n=2, 3
Economics, Operations Research, Management, etc.
all dimensions
Example:You have n commodities w= (w1, w2, …, wn) that
will be sold a price p = (p1, …, pn) to buy new bundle at these prices.
Monday, October 13, 14
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Differences in classes that make a difference
Dot products:Dimensions n=2, 3
Economics, Operations Research, Management, etc.
all dimensions
Example:You have n commodities w= (w1, w2, …, wn) that
will be sold a price p = (p1, …, pn) to buy new bundle at these prices.What can be afforded?
Monday, October 13, 14
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Differences in classes that make a difference
Dot products:Dimensions n=2, 3
Economics, Operations Research, Management, etc.
all dimensions
Example:You have n commodities w= (w1, w2, …, wn) that
will be sold a price p = (p1, …, pn) to buy new bundle at these prices.What can be afforded?
Money available
Monday, October 13, 14
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Differences in classes that make a difference
Dot products:Dimensions n=2, 3
Economics, Operations Research, Management, etc.
all dimensions
Example:You have n commodities w= (w1, w2, …, wn) that
will be sold a price p = (p1, …, pn) to buy new bundle at these prices.What can be afforded?
Money available(p, w)
Monday, October 13, 14
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Differences in classes that make a difference
Dot products:Dimensions n=2, 3
Economics, Operations Research, Management, etc.
all dimensions
Example:You have n commodities w= (w1, w2, …, wn) that
will be sold a price p = (p1, …, pn) to buy new bundle at these prices.What can be afforded?
Money available(p, w)
Bundle x that can be purchased
Monday, October 13, 14
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Differences in classes that make a difference
Dot products:Dimensions n=2, 3
Economics, Operations Research, Management, etc.
all dimensions
Example:You have n commodities w= (w1, w2, …, wn) that
will be sold a price p = (p1, …, pn) to buy new bundle at these prices.What can be afforded?
Money available(p, w)
Bundle x that can be purchased(p, x)
Monday, October 13, 14
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Differences in classes that make a difference
Dot products:Dimensions n=2, 3
Economics, Operations Research, Management, etc.
all dimensions
Example:You have n commodities w= (w1, w2, …, wn) that
will be sold a price p = (p1, …, pn) to buy new bundle at these prices.What can be afforded?
Money available(p, w)
Bundle x that can be purchased(p, x)
Budget plane
Monday, October 13, 14
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Differences in classes that make a difference
Dot products:Dimensions n=2, 3
Economics, Operations Research, Management, etc.
all dimensions
Example:You have n commodities w= (w1, w2, …, wn) that
will be sold a price p = (p1, …, pn) to buy new bundle at these prices.What can be afforded?
Money available(p, w)
Bundle x that can be purchased(p, x)
Budget plane(p, x-w) = 0
Monday, October 13, 14
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Differences in classes that make a difference
Dot products:Dimensions n=2, 3
Economics, Operations Research, Management, etc.
all dimensions
Example:You have n commodities w= (w1, w2, …, wn) that
will be sold a price p = (p1, …, pn) to buy new bundle at these prices.What can be afforded?
Money available(p, w)
Bundle x that can be purchased(p, x)
Budget plane(p, x-w) = 0
Lagrange multiplier but what does Lambda mean?
Monday, October 13, 14
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Differences in classes that make a difference
Dot products:Dimensions n=2, 3
Economics, Operations Research, Management, etc.
all dimensions
Example:You have n commodities w= (w1, w2, …, wn) that
will be sold a price p = (p1, …, pn) to buy new bundle at these prices.What can be afforded?
Money available(p, w)
Bundle x that can be purchased(p, x)
Budget plane(p, x-w) = 0
Lagrange multiplier but what does Lambda mean?
Taylor Series
Monday, October 13, 14
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Differences in classes that make a difference
Dot products:Dimensions n=2, 3
Economics, Operations Research, Management, etc.
all dimensions
Example:You have n commodities w= (w1, w2, …, wn) that
will be sold a price p = (p1, …, pn) to buy new bundle at these prices.What can be afforded?
Money available(p, w)
Bundle x that can be purchased(p, x)
Budget plane(p, x-w) = 0
Lagrange multiplier but what does Lambda mean?
Taylor Seriesf(x) = f(a) + f ’(a)(x-a) + ….
Monday, October 13, 14
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Differences in classes that make a difference
Dot products:Dimensions n=2, 3
Economics, Operations Research, Management, etc.
all dimensions
Example:You have n commodities w= (w1, w2, …, wn) that
will be sold a price p = (p1, …, pn) to buy new bundle at these prices.What can be afforded?
Money available(p, w)
Bundle x that can be purchased(p, x)
Budget plane(p, x-w) = 0
Lagrange multiplier but what does Lambda mean?
Taylor Seriesf(x) = f(a) + f ’(a)(x-a) + ….
Computations
Monday, October 13, 14
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Differences in classes that make a difference
Dot products:Dimensions n=2, 3
Economics, Operations Research, Management, etc.
all dimensions
Example:You have n commodities w= (w1, w2, …, wn) that
will be sold a price p = (p1, …, pn) to buy new bundle at these prices.What can be afforded?
Money available(p, w)
Bundle x that can be purchased(p, x)
Budget plane(p, x-w) = 0
Lagrange multiplier but what does Lambda mean?
Taylor Seriesf(x) = f(a) + f ’(a)(x-a) + ….
ComputationsBut, modeling
Monday, October 13, 14
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Differences in classes that make a difference
Dot products:Dimensions n=2, 3
Economics, Operations Research, Management, etc.
all dimensions
Example:You have n commodities w= (w1, w2, …, wn) that
will be sold a price p = (p1, …, pn) to buy new bundle at these prices.What can be afforded?
Money available(p, w)
Bundle x that can be purchased(p, x)
Budget plane(p, x-w) = 0
Lagrange multiplier but what does Lambda mean?
Taylor Seriesf(x) = f(a) + f ’(a)(x-a) + ….
ComputationsBut, modeling
Why is base e “natural”
Monday, October 13, 14
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Differences in classes that make a difference
Dot products:Dimensions n=2, 3
Economics, Operations Research, Management, etc.
all dimensions
Example:You have n commodities w= (w1, w2, …, wn) that
will be sold a price p = (p1, …, pn) to buy new bundle at these prices.What can be afforded?
Money available(p, w)
Bundle x that can be purchased(p, x)
Budget plane(p, x-w) = 0
Lagrange multiplier but what does Lambda mean?
Taylor Seriesf(x) = f(a) + f ’(a)(x-a) + ….
ComputationsBut, modeling
Why is base e “natural”x’ = f(x)
Monday, October 13, 14
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Differences in classes that make a difference
Dot products:Dimensions n=2, 3
Economics, Operations Research, Management, etc.
all dimensions
Example:You have n commodities w= (w1, w2, …, wn) that
will be sold a price p = (p1, …, pn) to buy new bundle at these prices.What can be afforded?
Money available(p, w)
Bundle x that can be purchased(p, x)
Budget plane(p, x-w) = 0
Lagrange multiplier but what does Lambda mean?
Taylor Seriesf(x) = f(a) + f ’(a)(x-a) + ….
ComputationsBut, modeling
Why is base e “natural”x’ = f(x)
Too complicated
Monday, October 13, 14
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Differences in classes that make a difference
Dot products:Dimensions n=2, 3
Economics, Operations Research, Management, etc.
all dimensions
Example:You have n commodities w= (w1, w2, …, wn) that
will be sold a price p = (p1, …, pn) to buy new bundle at these prices.What can be afforded?
Money available(p, w)
Bundle x that can be purchased(p, x)
Budget plane(p, x-w) = 0
Lagrange multiplier but what does Lambda mean?
Taylor Seriesf(x) = f(a) + f ’(a)(x-a) + ….
ComputationsBut, modeling
Why is base e “natural”x’ = f(x)
Too complicatedx’ = a x
Monday, October 13, 14
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Differences in classes that make a difference
Dot products:Dimensions n=2, 3
Economics, Operations Research, Management, etc.
all dimensions
Example:You have n commodities w= (w1, w2, …, wn) that
will be sold a price p = (p1, …, pn) to buy new bundle at these prices.What can be afforded?
Money available(p, w)
Bundle x that can be purchased(p, x)
Budget plane(p, x-w) = 0
Lagrange multiplier but what does Lambda mean?
Taylor Seriesf(x) = f(a) + f ’(a)(x-a) + ….
ComputationsBut, modeling
Why is base e “natural”x’ = f(x)
Too complicatedx’ = a x
Growth: financial, population, ecology, etc.
Monday, October 13, 14
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Differences in classes that make a difference
Dot products:Dimensions n=2, 3
Economics, Operations Research, Management, etc.
all dimensions
Example:You have n commodities w= (w1, w2, …, wn) that
will be sold a price p = (p1, …, pn) to buy new bundle at these prices.What can be afforded?
Money available(p, w)
Bundle x that can be purchased(p, x)
Budget plane(p, x-w) = 0
Lagrange multiplier but what does Lambda mean?
Taylor Seriesf(x) = f(a) + f ’(a)(x-a) + ….
ComputationsBut, modeling
Why is base e “natural”x’ = f(x)
Too complicatedx’ = a x
Growth: financial, population, ecology, etc.
Eigenvalues, eigenvectors
Monday, October 13, 14
![Page 95: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/95.jpg)
Differences in classes that make a difference
Dot products:Dimensions n=2, 3
Economics, Operations Research, Management, etc.
all dimensions
Example:You have n commodities w= (w1, w2, …, wn) that
will be sold a price p = (p1, …, pn) to buy new bundle at these prices.What can be afforded?
Money available(p, w)
Bundle x that can be purchased(p, x)
Budget plane(p, x-w) = 0
Lagrange multiplier but what does Lambda mean?
Taylor Seriesf(x) = f(a) + f ’(a)(x-a) + ….
ComputationsBut, modeling
Why is base e “natural”x’ = f(x)
Too complicatedx’ = a x
Growth: financial, population, ecology, etc.
Eigenvalues, eigenvectorsA v = L v
Monday, October 13, 14
![Page 96: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/96.jpg)
Differences in classes that make a difference
Dot products:Dimensions n=2, 3
Economics, Operations Research, Management, etc.
all dimensions
Example:You have n commodities w= (w1, w2, …, wn) that
will be sold a price p = (p1, …, pn) to buy new bundle at these prices.What can be afforded?
Money available(p, w)
Bundle x that can be purchased(p, x)
Budget plane(p, x-w) = 0
Lagrange multiplier but what does Lambda mean?
Taylor Seriesf(x) = f(a) + f ’(a)(x-a) + ….
ComputationsBut, modeling
Why is base e “natural”x’ = f(x)
Too complicatedx’ = a x
Growth: financial, population, ecology, etc.
Eigenvalues, eigenvectorsA v = L v
A is input-output
Monday, October 13, 14
![Page 97: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/97.jpg)
Differences in classes that make a difference
Dot products:Dimensions n=2, 3
Economics, Operations Research, Management, etc.
all dimensions
Example:You have n commodities w= (w1, w2, …, wn) that
will be sold a price p = (p1, …, pn) to buy new bundle at these prices.What can be afforded?
Money available(p, w)
Bundle x that can be purchased(p, x)
Budget plane(p, x-w) = 0
Lagrange multiplier but what does Lambda mean?
Taylor Seriesf(x) = f(a) + f ’(a)(x-a) + ….
ComputationsBut, modeling
Why is base e “natural”x’ = f(x)
Too complicatedx’ = a x
Growth: financial, population, ecology, etc.
Eigenvalues, eigenvectorsA v = L v
A is input-outputv is natural direction
Monday, October 13, 14
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Other topics?
Monday, October 13, 14
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Other topics?Optimization
Monday, October 13, 14
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Other topics?OptimizationCalculus
Monday, October 13, 14
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Other topics?OptimizationCalculus
Almost all systems
Monday, October 13, 14
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Other topics?OptimizationCalculus
Almost all systemsGame theory:
Monday, October 13, 14
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Other topics?OptimizationCalculus
Almost all systemsGame theory:
All living systems!
Monday, October 13, 14
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Other topics?OptimizationCalculus
Almost all systemsGame theory:
All living systems!What is optimized is based on
what others do
Monday, October 13, 14
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Other topics?OptimizationCalculus
Almost all systemsGame theory:
All living systems!What is optimized is based on
what others do Game theory is to living systems
what calculus is to physical systems
Monday, October 13, 14
![Page 106: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/106.jpg)
Other topics?OptimizationCalculus
Almost all systemsGame theory:
All living systems!What is optimized is based on
what others do Game theory is to living systems
what calculus is to physical systems
Nash and f ’=0
Monday, October 13, 14
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Other topics?OptimizationCalculus
Almost all systemsGame theory:
All living systems!What is optimized is based on
what others do Game theory is to living systems
what calculus is to physical systems
Nash and f ’=0Strategies, coalitions:
Monday, October 13, 14
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Other topics?OptimizationCalculus
Almost all systemsGame theory:
All living systems!What is optimized is based on
what others do Game theory is to living systems
what calculus is to physical systems
Nash and f ’=0Strategies, coalitions:Early days: discrete
Monday, October 13, 14
![Page 109: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/109.jpg)
Other topics?OptimizationCalculus
Almost all systemsGame theory:
All living systems!What is optimized is based on
what others do Game theory is to living systems
what calculus is to physical systems
Nash and f ’=0Strategies, coalitions:Early days: discrete
All social, behavioral sciences
Monday, October 13, 14
![Page 110: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/110.jpg)
Other topics?OptimizationCalculus
Almost all systemsGame theory:
All living systems!What is optimized is based on
what others do Game theory is to living systems
what calculus is to physical systems
Nash and f ’=0Strategies, coalitions:Early days: discrete
All social, behavioral sciencesAuctions: Vickery
Monday, October 13, 14
![Page 111: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/111.jpg)
Other topics?OptimizationCalculus
Almost all systemsGame theory:
All living systems!What is optimized is based on
what others do Game theory is to living systems
what calculus is to physical systems
Nash and f ’=0Strategies, coalitions:Early days: discrete
All social, behavioral sciencesAuctions: Vickery
Military, international relations
Monday, October 13, 14
![Page 112: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/112.jpg)
Other topics?OptimizationCalculus
Almost all systemsGame theory:
All living systems!What is optimized is based on
what others do Game theory is to living systems
what calculus is to physical systems
Nash and f ’=0Strategies, coalitions:Early days: discrete
All social, behavioral sciencesAuctions: Vickery
Military, international relationsCorporate
Monday, October 13, 14
![Page 113: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/113.jpg)
Other topics?OptimizationCalculus
Almost all systemsGame theory:
All living systems!What is optimized is based on
what others do Game theory is to living systems
what calculus is to physical systems
Nash and f ’=0Strategies, coalitions:Early days: discrete
All social, behavioral sciencesAuctions: Vickery
Military, international relationsCorporate
ALL math depts need a course!!
Monday, October 13, 14
![Page 114: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/114.jpg)
Other topics?OptimizationCalculus
Almost all systemsGame theory:
All living systems!What is optimized is based on
what others do Game theory is to living systems
what calculus is to physical systems
Nash and f ’=0Strategies, coalitions:Early days: discrete
All social, behavioral sciencesAuctions: Vickery
Military, international relationsCorporate
ALL math depts need a course!!
Social and behavioral sciences:
Monday, October 13, 14
![Page 115: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/115.jpg)
Other topics?OptimizationCalculus
Almost all systemsGame theory:
All living systems!What is optimized is based on
what others do Game theory is to living systems
what calculus is to physical systems
Nash and f ’=0Strategies, coalitions:Early days: discrete
All social, behavioral sciencesAuctions: Vickery
Military, international relationsCorporate
ALL math depts need a course!!
Social and behavioral sciences:Change
Monday, October 13, 14
![Page 116: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/116.jpg)
Other topics?OptimizationCalculus
Almost all systemsGame theory:
All living systems!What is optimized is based on
what others do Game theory is to living systems
what calculus is to physical systems
Nash and f ’=0Strategies, coalitions:Early days: discrete
All social, behavioral sciencesAuctions: Vickery
Military, international relationsCorporate
ALL math depts need a course!!
Social and behavioral sciences:Change
Still struggling how to incorporate
Monday, October 13, 14
![Page 117: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/117.jpg)
Other topics?OptimizationCalculus
Almost all systemsGame theory:
All living systems!What is optimized is based on
what others do Game theory is to living systems
what calculus is to physical systems
Nash and f ’=0Strategies, coalitions:Early days: discrete
All social, behavioral sciencesAuctions: Vickery
Military, international relationsCorporate
ALL math depts need a course!!
Social and behavioral sciences:Change
Still struggling how to incorporateUsually NOT x’ = f(x)
Monday, October 13, 14
![Page 118: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/118.jpg)
Other topics?OptimizationCalculus
Almost all systemsGame theory:
All living systems!What is optimized is based on
what others do Game theory is to living systems
what calculus is to physical systems
Nash and f ’=0Strategies, coalitions:Early days: discrete
All social, behavioral sciencesAuctions: Vickery
Military, international relationsCorporate
ALL math depts need a course!!
Social and behavioral sciences:Change
Still struggling how to incorporateUsually NOT x’ = f(x)
Qualitative info
Monday, October 13, 14
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Other topics?OptimizationCalculus
Almost all systemsGame theory:
All living systems!What is optimized is based on
what others do Game theory is to living systems
what calculus is to physical systems
Nash and f ’=0Strategies, coalitions:Early days: discrete
All social, behavioral sciencesAuctions: Vickery
Military, international relationsCorporate
ALL math depts need a course!!
Social and behavioral sciences:Change
Still struggling how to incorporateUsually NOT x’ = f(x)
Qualitative infodynamical systems
Monday, October 13, 14
![Page 120: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/120.jpg)
Other topics?OptimizationCalculus
Almost all systemsGame theory:
All living systems!What is optimized is based on
what others do Game theory is to living systems
what calculus is to physical systems
Nash and f ’=0Strategies, coalitions:Early days: discrete
All social, behavioral sciencesAuctions: Vickery
Military, international relationsCorporate
ALL math depts need a course!!
Social and behavioral sciences:Change
Still struggling how to incorporateUsually NOT x’ = f(x)
Qualitative infodynamical systems
New area:
Monday, October 13, 14
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Other topics?OptimizationCalculus
Almost all systemsGame theory:
All living systems!What is optimized is based on
what others do Game theory is to living systems
what calculus is to physical systems
Nash and f ’=0Strategies, coalitions:Early days: discrete
All social, behavioral sciencesAuctions: Vickery
Military, international relationsCorporate
ALL math depts need a course!!
Social and behavioral sciences:Change
Still struggling how to incorporateUsually NOT x’ = f(x)
Qualitative infodynamical systems
New area:Ultimatum game
Monday, October 13, 14
![Page 122: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/122.jpg)
Other topics?OptimizationCalculus
Almost all systemsGame theory:
All living systems!What is optimized is based on
what others do Game theory is to living systems
what calculus is to physical systems
Nash and f ’=0Strategies, coalitions:Early days: discrete
All social, behavioral sciencesAuctions: Vickery
Military, international relationsCorporate
ALL math depts need a course!!
Social and behavioral sciences:Change
Still struggling how to incorporateUsually NOT x’ = f(x)
Qualitative infodynamical systems
New area:Ultimatum game
Evolutionary game theory
Monday, October 13, 14
![Page 123: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/123.jpg)
Other topics?OptimizationCalculus
Almost all systemsGame theory:
All living systems!What is optimized is based on
what others do Game theory is to living systems
what calculus is to physical systems
Nash and f ’=0Strategies, coalitions:Early days: discrete
All social, behavioral sciencesAuctions: Vickery
Military, international relationsCorporate
ALL math depts need a course!!
Social and behavioral sciences:Change
Still struggling how to incorporateUsually NOT x’ = f(x)
Qualitative infodynamical systems
New area:Ultimatum game
Evolutionary game theorywedding of dynamical systems and
game theory
Monday, October 13, 14
![Page 124: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/124.jpg)
Other topics?OptimizationCalculus
Almost all systemsGame theory:
All living systems!What is optimized is based on
what others do Game theory is to living systems
what calculus is to physical systems
Nash and f ’=0Strategies, coalitions:Early days: discrete
All social, behavioral sciencesAuctions: Vickery
Military, international relationsCorporate
ALL math depts need a course!!
Social and behavioral sciences:Change
Still struggling how to incorporateUsually NOT x’ = f(x)
Qualitative infodynamical systems
New area:Ultimatum game
Evolutionary game theorywedding of dynamical systems and
game theorysocial norms:
Monday, October 13, 14
![Page 125: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/125.jpg)
Other topics?OptimizationCalculus
Almost all systemsGame theory:
All living systems!What is optimized is based on
what others do Game theory is to living systems
what calculus is to physical systems
Nash and f ’=0Strategies, coalitions:Early days: discrete
All social, behavioral sciencesAuctions: Vickery
Military, international relationsCorporate
ALL math depts need a course!!
Social and behavioral sciences:Change
Still struggling how to incorporateUsually NOT x’ = f(x)
Qualitative infodynamical systems
New area:Ultimatum game
Evolutionary game theorywedding of dynamical systems and
game theorysocial norms:
philosophy of science (Stag hunt, etc.) ,
Monday, October 13, 14
![Page 126: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/126.jpg)
Other topics?OptimizationCalculus
Almost all systemsGame theory:
All living systems!What is optimized is based on
what others do Game theory is to living systems
what calculus is to physical systems
Nash and f ’=0Strategies, coalitions:Early days: discrete
All social, behavioral sciencesAuctions: Vickery
Military, international relationsCorporate
ALL math depts need a course!!
Social and behavioral sciences:Change
Still struggling how to incorporateUsually NOT x’ = f(x)
Qualitative infodynamical systems
New area:Ultimatum game
Evolutionary game theorywedding of dynamical systems and
game theorysocial norms:
philosophy of science (Stag hunt, etc.) ,
anthropology, economics, political science, IIASA
Monday, October 13, 14
![Page 127: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/127.jpg)
Other topics?OptimizationCalculus
Almost all systemsGame theory:
All living systems!What is optimized is based on
what others do Game theory is to living systems
what calculus is to physical systems
Nash and f ’=0Strategies, coalitions:Early days: discrete
All social, behavioral sciencesAuctions: Vickery
Military, international relationsCorporate
ALL math depts need a course!!
Social and behavioral sciences:Change
Still struggling how to incorporateUsually NOT x’ = f(x)
Qualitative infodynamical systems
New area:Ultimatum game
Evolutionary game theorywedding of dynamical systems and
game theorysocial norms:
philosophy of science (Stag hunt, etc.) ,
anthropology, economics, political science, IIASA
Agent based models: SFI
Monday, October 13, 14
![Page 128: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/128.jpg)
Seven handshakes
Monday, October 13, 14
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Seven handshakesNetwork theory
Monday, October 13, 14
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Seven handshakesNetwork theory
Ideas from graph theory
Monday, October 13, 14
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Seven handshakesNetwork theory
Ideas from graph theorySociology: early 1940s
Monday, October 13, 14
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Seven handshakesNetwork theory
Ideas from graph theorySociology: early 1940s
Ebola
Monday, October 13, 14
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Seven handshakesNetwork theory
Ideas from graph theorySociology: early 1940s
EbolaIssues of centrality, etc.
Monday, October 13, 14
![Page 134: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/134.jpg)
Seven handshakesNetwork theory
Ideas from graph theorySociology: early 1940s
EbolaIssues of centrality, etc.
crime
Monday, October 13, 14
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Seven handshakesNetwork theory
Ideas from graph theorySociology: early 1940s
EbolaIssues of centrality, etc.
crimeeconomics; customers in stores
Monday, October 13, 14
![Page 136: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/136.jpg)
Seven handshakesNetwork theory
Ideas from graph theorySociology: early 1940s
EbolaIssues of centrality, etc.
crimeeconomics; customers in storesNow being combined with game
theory, dynamics
Monday, October 13, 14
![Page 137: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/137.jpg)
Seven handshakesNetwork theory
Ideas from graph theorySociology: early 1940s
EbolaIssues of centrality, etc.
crimeeconomics; customers in storesNow being combined with game
theory, dynamicsALEKS
Monday, October 13, 14
![Page 138: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/138.jpg)
Seven handshakesNetwork theory
Ideas from graph theorySociology: early 1940s
EbolaIssues of centrality, etc.
crimeeconomics; customers in storesNow being combined with game
theory, dynamicsALEKS
Just an indication:
Monday, October 13, 14
![Page 139: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/139.jpg)
Seven handshakesNetwork theory
Ideas from graph theorySociology: early 1940s
EbolaIssues of centrality, etc.
crimeeconomics; customers in storesNow being combined with game
theory, dynamicsALEKS
Just an indication:Haven’t mentioned many others, such as allocation and apportionment methods,
Monday, October 13, 14
![Page 140: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/140.jpg)
Seven handshakesNetwork theory
Ideas from graph theorySociology: early 1940s
EbolaIssues of centrality, etc.
crimeeconomics; customers in storesNow being combined with game
theory, dynamicsALEKS
Just an indication:Haven’t mentioned many others, such as allocation and apportionment methods,
Opportunities to assume leadership
Monday, October 13, 14
![Page 141: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/141.jpg)
Seven handshakesNetwork theory
Ideas from graph theorySociology: early 1940s
EbolaIssues of centrality, etc.
crimeeconomics; customers in storesNow being combined with game
theory, dynamicsALEKS
Just an indication:Haven’t mentioned many others, such as allocation and apportionment methods,
Opportunities to assume leadershipTommy Ratliff and voting theory
Monday, October 13, 14
![Page 142: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/142.jpg)
Seven handshakesNetwork theory
Ideas from graph theorySociology: early 1940s
EbolaIssues of centrality, etc.
crimeeconomics; customers in storesNow being combined with game
theory, dynamicsALEKS
Just an indication:Haven’t mentioned many others, such as allocation and apportionment methods,
Opportunities to assume leadershipTommy Ratliff and voting theory
What is next??
Monday, October 13, 14
![Page 143: Mathematics for Social and Behavior Sciences](https://reader031.vdocuments.us/reader031/viewer/2022030113/621ccca8d1fcc35bd17be497/html5/thumbnails/143.jpg)
Seven handshakesNetwork theory
Ideas from graph theorySociology: early 1940s
EbolaIssues of centrality, etc.
crimeeconomics; customers in storesNow being combined with game
theory, dynamicsALEKS
Just an indication:Haven’t mentioned many others, such as allocation and apportionment methods,
Opportunities to assume leadershipTommy Ratliff and voting theory
What is next??Your thoughts??
Monday, October 13, 14