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Competition between Apple and Samsung in the smartphone market– introduction into some key conceptsin the smartphone market– introduction into some key concepts
in managerial economics
Collège des IngénieursStuttgart, June 21, 2013
Dr. Markus Thomas Münter
SNORKELING VS. DOING THE DEEP DIVE
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 1
GLOBAL SMARTPHONE MARKET
• Smartphones are on the rise
• Apple and Samsung, by now and increasingly, dominate the market for smartphones capturing more than 50% of the global market (with
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 2
global market (with regional variations)
APPLE VS. SAMSUNG PROFITS
• But: they do not only take 50% plus of the market – Apple and Samsung also capture 100% of the industry profits, all firms making zero or negative profit
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 3
APPLE VS. SAMSUNG: KEY ISSUES
• Where do profits come from ? What is a profit function?
Which strategies are possible? What is Apple’s and Samsung’s respective strategy?Key issues in
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 4
• Which strategies are possible? What is Apple’s and Samsung’s respective strategy?
• How can Apple and Samsung derive the best strategy using game theory?
• How does strategic behavior affect market shares, profitability and prices?
Key issues in understanding
Apple vs. Samsung
OBJECTIVES AND FOCUS FOR TODAY
• … gain some basic understanding why economics can prove quite helpful for managers assessing situations of strategic competition
• … get some idea how to analyze the battle between Apple and Samsung in
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 5
today, you will …
• … get some idea how to analyze the battle between Apple and Samsung in the smartphone market using game theory (of course, there are other perspectives …)
• … (hopefully) become curious in learning more about real-life applications in managerial economics
AGENDA
What is managerial economics?1
Where do profits come from? 2
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 6
Deriving optimum competitive behavior using game theory3
Application to the Apple vs. Samsung case4
Key learnings & discussion5
• Economics is a social science that analyzes the production, distribution, and consumption of goods and services – a focus of the subject is how economic agents behave or interact and
WHAT IS ECONOMICS, WHAT IS MANAGEMENT?
economics
• Management encompasses all business and organizational activities that coordinate the efforts of people to accomplish desired goals and objectives using available resources
management
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 7
how economic agents behave or interact and how economies work.
• Microeconomics examines the behavior of basic elements in the economy, including individual agents (such as households and firmsor as buyers and sellers) and markets, and their interactions.
• Macroeconomics analyzes the entire economy and issues affecting it, including unemployment, inflation, economic growth, and monetary and fiscal policy.
and objectives using available resources efficiently and effectively.
• Management comprises planning, organizing, staffing, leading or directing, and controlling an organization or effort for the purpose of accomplishing a goal. Resourcing encompasses the deployment and manipulation of human resources, financial resources, technological resources, and natural resources.
• Managerial economics is concerned with application of economic concepts and economic analysis to the typical problems in managerial decision making
• applies mainly microeconomic analysis to decision problems trying to optimize business decisions given the firm's objectives and given constraints imposed by scarcity, for example through the use of differential calculus, mathematical programming and game
WHAT IS MANAGERIAL ECONOMICS?
economics management
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 8
example through the use of differential calculus, mathematical programming and game theory for strategic decisions, most commonly applied to:
• production analysis – microeconomic techniques are used to analyze optimum output and production, costs, …
• pricing analysis – microeconomic techniques are used to analyze various pricing decisions including transfer pricing, price discrimination, ….
• risk analysis – various models are used to quantify risk and asymmetric information and to employ them in decision rules to manage risk
• organizational analysis – model are used to determine optimum internal structure of the firm, make-or-buy and outsourcing, governance and internal control, and incentive schemes
managerialeconomics
AGENDA
What is managerial economics?1
Where do profits come from? 2
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 9
Deriving optimum competitive behavior using game theory3
Application to the Apple vs. Samsung case4
Key learnings & discussion5
APPLE VS. SAMSUNG
• Apple and Samsung dominate the market for smartphonescurrently with their models iPhone and Galaxy
• Both models are offered as (subsidized) packages from telcos
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 10
packages from telcosas well as unlocked stand alones
• From a consumer’s perspective – what is your willingness to pay for any of these two alternatives?
WILLINGNESS TO PAY
• The willingness to pay describes, how much money an individual would pay at the maximum to purchase some product
• Most often, this sum varies considerably across individuals
maximumwillingnessto pay
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 11
across individuals
number ofindividuals
0
PRICE DEMAND SCHEDULE
• The willingness to pay can be translated easily into a ‘demand curve’ also termed price demand schedule
price p
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 12
quantity q0
PRICE DEMAND SCHEDULE
• the price demand curve is the graph depicting the relationship between the price of a certain commodity and the amount of it that consumers are willing and able to purchase at that given price
price p ( ) bqaqpp −==
a
SSSS
AAAA
qbap
qbap
−=
−=
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 13
at that given price
• p: price
• q: quantity
• a: maximum willingness to pay
• 1/b: measure for size of the market
• Price demand schedule can be identified doing market research
quantity q
-b
0
REVENUES
• Revenue is income that a company receives from its normal business activities, usually from the sale of goods and services to customers
• Revenue is often referred to as the "top
revenues R ( )
( ) 2bqaqqbqa
pqqRR
−=−
===
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 14
referred to as the "top line" due to its position on the income statement – not to be mixed up with profits, which is “bottom line”
quantity q
a
-b
0
COST STRUCTURE
• Costs are the sum of fixed and variable costs
• marginal cost is the change in the total cost that arises when the quantity produced changes by one unit
• variable costs are expenses that change in
costs C ( ) FcqqCC +==
costs C
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 15
expenses that change in proportion to the activity of a business, i.e., production
• fixed costs are business expenses that are not dependent on the level of goods or services produced by the business
• Costs can be identified analyzing P&L statements and balance sheets
quantity q
fixed costs F
variable costs cq
0
costs C
PROFITS (1) – SINGLE FIRM
• in managerial economics, profit is just revenues minus costs (cash flow perspective)
• in business, there are lots of other profit-concepts (Earnings Before Interest, Taxes,
profits ππππ
Fcqbqaq
CR
−−−
=−=2
πrevenues R
costs C
costs C
revenues R
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 16
Before Interest, Taxes, Depreciation, and Amortization EBITDA, Earnings Before Interest and Taxes EBIT, etc.) mainly for tax and depreciation issues
quantity q 0
CR −=π
costs C
STRATEGY, PROFITS, SHAREHOLDER VALUE
• profits as revenues minus costs measure success of an organization and guarantee
• the direction and scope of an organization over the long term
• which achieves competitive advantage for the organization through its configuration of resources (aka strategic variable) within a changing industry environment to meet the needs of markets/customers and to fulfill stakeholder expectations
strategy
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 17
• Shareholders are the owners of a company, hence they own all equity and receive all profits as dividends
• Shareholder value is simply the discounted sum of all future profits and measures the value of a company
shareholder value
• profits as revenues minus costs measure success of an organization and guarantee survival
• for simplicity and tractability, it is assumed that firms strive to maximize profits (however, there lot of other objectives, …)
profits
PROFITS (2) – SINGLE FIRM
• Maximum profits are derived choosing a strategy (a strategic variable), here: quantity
• FOC and SOC give optimum profits
• Solving for strategic variable (6) denotes
max!)4(
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)2(
)1(
2 →−−−=−=
+=
=
−=
FcqbqaqCR
FcqC
pqR
bqap
π
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 18
variable (6) denotes necessary action to realize optimum profits
• For (6), there is a straight forward economic interpretation: (a-c) is a measure for competitiveness, (1/b) is a measure of market size
.0*
,0*
,0*
2*)6(
02)5(
max!)4(
<∂
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∂
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−=
=−−=∂
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→−−−=−=
b
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q
a
q
b
caq
cbqaq
FcqbqaqCR
π
π
MONOPOLY EQUILIBRIUM
• Monopoly: one firm in the market, no competition
• Given a, b, c and F, choose optimum q to maximize profits
monopoly
a 100
b 1
c 10 1000
1500
2000
2500
3000
R
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 19
c 10
F 500
q* 45
p* 55
pi* 1525 -1500
-1000
-500
0
500
1000
0 20 40 60 80 100 120
C
pi
AGENDA
What is managerial economics?1
Where do profits come from? 2
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 20
Deriving optimum competitive behavior using game theory3
Application to the Apple vs. Samsung case4
Key learnings & discussion5
ANALYSIS OF MARKET STRUCTURE
• Market structure (better: industry structure) depicts number and size distribution of firms and structure of offered products
• most interesting: some firms, since this is the homogenous
products
one firm
(monopoly)
some firms
(oligopoly)many firms
national football
transportation, energy, railway,
free e-mailservices,
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 21
firms, since this is the most relevant and frequent case
products
hetero-geneousproducts
automobiles, gadgets, technicalconsumer
products, ….
music
footballleagues
railway, banking,telco, ….
services, groceries, …
-
STRATEGY AND COMPETITION
• For all market structures, it is crucial what is the nature of competition and what is the main strategic variable
• At least in the long run and from a strategic perspective, this boils homogenous
products
one firm
(monopoly)
some firms
(oligopoly)many firms
single-product vs. multi-product strategieslocation
entry barriers
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 22
perspective, this boils down to quantity versus price
products
hetero-genousproducts
quantity vs. price competition
simultaneous vs. sequentialdecision making
degree of product differentiation
innovation vs. imitation
entry barriers
QUANTITY VS. PRICE COMPETITION
• All firms decide on quantity, price is determined in the market (Cournot-competition)
Quantity as strategic variable
strategic characteristic evidence
• market structure and results differ with respect to type of competition
• both from a theoretical and an empirical perspective,
big picture
• Strong evidence in all markets and industries, where capacity is relevantand capacity adjustments are costly or take a long
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 23
competition)
• All firms decide on price, quantity is determined in the market (Bertrand-competition)
Price as strategic variable
an empirical perspective, quantity competition has more relevance (two stage game: first stage capacity, second stage price)
• however, asking managers, most of them think they are playing price competition
• game theory is the key approach to analyze competition
are costly or take a long time
• Some evidence in markets, where capacity is quickly adjustable (and low investments needed)
GAME THEORY – BASIC IDEA
• is a study of strategic decision making in conflict and
economics, political science, and psychology, as well as logic and biology, and of course pure math:
• war (that is actually one of the origins … )
• competition (but also auctions, bargaining, mergers
Areas and typical situations
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 24
conflict and cooperation (interactive decision theory) trying to identify some optimal behavior or strategy given strategies or options of others
Game theory
• competition (but also auctions, bargaining, mergers &acquisitions pricing, social network formation, mechanism and market design, …. )
• cooperation (formation and stability of cartels, organizations, coalitions, …. )
• bargaining in any situation
• social and private situations
• and of course: games like chess, etc.
GAME THEORY – REQUIREMENTS FOR APPLICATION
implementation requires some substantial efforts and information:
(1) an unambiguous and quantifiable objective function is necessary
(2) rationally acting players have to recognize the strategic interaction as a
• List of players
• List of strategies or actions available
… from a theoretical perspective … from a practical perspective
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 25
recognize the strategic interaction as a game
information needs to be given concerning the
(3) number of players
(4) the duration and
(5) structure of the game and
(6) all potential and feasible strategies
Game theory
• List of strategies or actions available
• Description of payoffs or profits for each strategy
• Rules of the game
strategy A ofplayer 1
strategy B ofplayer 1
GAME THEORY – A TYPICAL GAME (STRATEGIES)
Player 1
• Two players: player 1 (called column player) and player 2 (called row player)
• Two strategies (a strategy profile) for each player: A and B for player 1, C and D for player 2
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 26
strategy
D ofplayer 2
strategy
C ofplayer 2
Player 2
1A / 2C 1B / 2C
1A / 2D 1B / 2D
for player 2
• Each combination of strategies is possible, 1A / 2 D, and so on
• A description of a game in a matrix (if possible) is called normal form
• If both players are able to draw the same normal form game, they have symmetric information
strategy A ofplayer 1
strategy B ofplayer 1
GAME THEORY – A TYPICAL GAME (PAYOFFS)
Player 1
π π π π (1)
• For each strategy combination, payoffs (profits) must be identified
• These payoffs are ‘compared’ to identify the optimum strategy for each player
• the mode of π π π π (1)
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 27
strategy
D ofplayer 2
strategy
C ofplayer 2
Player 2
π π π π (1) 1A/2C
• the mode of comparing different strategic alternatives is called ‘solution concept’ to a game
π π π π (2) 1A/2C
π π π π (1) 1B/2C
π π π π (2) 1B/2C
π π π π (1) 1B/2D
π π π π (2) 1B/2D
π π π π (1) 1A/2D
π π π π (2) 1A/2D
strategy A ofplayer 1
strategy B ofplayer 1
GAME THEORY – A TYPICAL GAME (EXAMPLE 1)
Player 1
• Given the following payoffs – what would be the best strategy for player 1, what would be the best strategy for player 2?
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 28
strategy
D ofplayer 2
strategy
C ofplayer 2
Player 2
4
2
3
3
6
1
1
9
strategy A ofplayer 1
strategy B ofplayer 1
GAME THEORY – A TYPICAL GAME (EXAMPLE 1)
Player 1
• The best strategy for player 1 would be B, for player 2 it would be C – the rule applied is called “maximin” –that is find first the minimum result of each strategy and than choose the maximum of these
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 29
strategy
D ofplayer 2
strategy
C ofplayer 2
Player 2
4maximum of these minima
• This leads (typically) to the best-response strategy given all strategies of other players – the combination of all best-response strategies is called a Nash equilibrium (no player can benefit by changing strategies)
2
3
3
6
1
1
9
1 3
1
2
strategy A ofplayer 1
strategy B ofplayer 1
GAME THEORY – A TYPICAL GAME (EXAMPLE 2)
Player 1
• Given the payoffs in example 2 – what would be, applying the maximin rule, the best strategy for player 1, what would be the best strategy for player 2?
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 30
strategy
D ofplayer 2
strategy
C ofplayer 2
Player 2
4
6
3
1
6
2
2
9
strategy A ofplayer 1
strategy B ofplayer 1
GAME THEORY – A TYPICAL GAME (EXAMPLE 2)
Player 1
• The best strategy for player 1 would be B, for player 2 it would be D
• The solution can be found applying maximin
• But: here, for player 2, strategy D is always
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 31
strategy
D ofplayer 2
strategy
C ofplayer 2
Player 2
4strategy D is always (independent of what player 1 does) better than strategy C
• Such a strategy is called dominant
6
3
1
6
2
2
9
2 3
2
1
strategy A ofplayer 1
strategy B ofplayer 1
GAME THEORY – A TYPICAL GAME (EXAMPLE 3)
Player 1
• Given the payoffs in example 3 – are there dominant strategies, what would be a solution applying maximin?
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 32
strategy
D ofplayer 2
strategy
C ofplayer 2
Player 2
5
4
4
7
3
8
2
3
strategy A ofplayer 1
strategy B ofplayer 1
GAME THEORY – A TYPICAL GAME (EXAMPLE 3)
Player 1
• There are no dominant strategies, and applying maximingives 1 B / 2 C as a Nash equilibrium
• But: what is strange about this equilibrium found by maximin?
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 33
strategy
D ofplayer 2
strategy
C ofplayer 2
Player 2
5
4
4
7
3
8
2
3
2 3
3
4
strategy A ofplayer 1
strategy B ofplayer 1
GAME THEORY – A TYPICAL GAME (EXAMPLE 3)
Player 1
• Looking at 1 B / 2 C, it is obvious, that both players have an incentive to deviate
• Inspection of 1 A / 2 C and 1 B / 2 D shows, that these equilibria are indeed possible –hence: a game can
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 34
strategy
D ofplayer 2
strategy
C ofplayer 2
Player 2
5hence: a game can have more than one equilibrium, and even more than one Nash-equilibrium
• Solution concept here would be: trigger a mixed strategy
4
4
7
3
8
2
3
2 3
3
4
GAME THEORY – APPLICATION GUIDE
(1) Identify all players
(2) Identify all possible strategies
(3) Identify payoffs to all strategy combinations
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 35
(3) Identify payoffs to all strategy combinations
(4) Check, whether there are dominant strategies
(5) Apply a solution concept, preferably maximin
(6) Identify the Nash-equilibrium, check if it is unique
How to apply game theory (quick and easy):
AGENDA
What is managerial economics?1
Where do profits come from? 2
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 36
Deriving optimum competitive behavior using game theory3
Application to the Apple vs. Samsung case4
Key learnings & discussion5
Continuum of quantitystrategies
APPLE VS. SAMSUNG WITH GAME THEORY
Apple
• Players are easily identified
• Obviously, they have a large number of feasible quantity strategies
• What we have to do now is identify the optimum solutions to
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 37
Conti-nuum ofquantity
strategies
Samsung
optimum solutions to the Apple and Samsung strategies in quantities
qA
qSππππS
ππππA
QUANTITY COMPETITION WITH TWO FIRMS
• Suppose now two firms – of course now, ‘competition’ happens
• Firm 1 has to take into account the action taken by firm 2 and vice versa – analyzing these situations is called game theory
( )
( ) max!)4(
)3(
2;1,)2(
)1(
11211211
21
→−−+−=−=
+=
==
+−=−=
FcqqqqbaqCR
FcqC
ipqR
qqbabQap
ii
ii
π
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 38
called game theory
• Game theory is the study of strategic decision making in situations of conflict and cooperation
• Again, we maximize profits by choosing quantity – optimum quantity now depends on the quantity of the competitor
( )
( )
.0*
,0*
,0*
,0*
22*)6(
02)5(
max!)4(
2
1111
2
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21121
1
1
11211211
<∂
∂<
∂
∂<
∂
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∂
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−−
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=−−−=−−+−=∂
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→−−+−=−=
q
q
b
q
c
q
a
q
q
b
caq
bqbqcacbqqqbaq
FcqqqqbaqCR
π
π
OPTIMUM QUANTITY OF FIRM 1 GIVEN QUANTITY OF FIRM 2
• For each quantity of firm 2, we can determine some optimum own strategy
• In a sense, this a reaction – hence we call this curve a reaction curve
quantity q2( )
22*)6(
02
)5(
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1
21
121
1
1
q
b
caq
bqbqca
cbqqqbaq
−−
=
=−−−
=−−+−=∂
∂
π
Firm 1
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 39
0quantity q1
b
ca
2
−
2
2q−
Firm 1
OPTIMUM QUANTITY OF FIRM 2 GIVEN QUANTITY OF FIRM 1
• The same is true for firm 2 – for every quantity chosen by firm 1, it determines some optimum quantity 2
• So: what is the correct quantity?
quantity q2
( )
*)'6(
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)'5(
1
12
221
2
2
qcaq
bqbqca
cbqqqbaq
−−
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π
Firm 2
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 40
0quantity q1
22*)'6( 1
2
q
b
caq −
−=
b
ca
2
−
2
1q−
Firm 2
COURNOT-NASH EQUILIBRIUM FOR HOMOGENOUS FIRMS
• Given both reaction curves, there is an intersection where strategies match
• This is a Nash equilibrium: a solution to a non-cooperative game in which each player knows the
quantity q2
b
ca
2
−Firm 1
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 41
player knows the equilibrium strategies of the other players
• if no player can benefit by changing strategies (while the other players keep theirs unchanged), then the current set of strategy choices and the corresponding payoffs constitute a Nash equilibrium
0quantity q1
b
ca
2
−
2
1q−2
2q−
*1
q
*2
q
Firm 2
QUANTITY COMPETITION FOR HETEROGENEOUS FIRMS
• If firms are not symmetric (i.e., they differ in cost or other characteristics), we have to apply some extensions
• b1 and b2: each firm has now some ‘local’ demand / market
1112
2
1111211
2112222
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max!)4(
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,,
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FqcC
iqpR
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qbqbap
iii
iii
β
ββ
β
π →−−−−=−=
+=
==
>−−=
−−=
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 42
demand / market
• b(beta): denotes relation between “local” markets (b(beta)=0: “separate markets”, b(beta)=1: perfect substitutes)
• c1 and c2: firms differ in variable costs
• again, choosing quantity profits are maximized2
1
2
22
2
1
2
1
111
12111
1
1
11121111211
22*
22*)6(
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max!)4(
b
qb
b
caq
b
qb
b
caq
cqbqbaq
FqcqqbqbqaCR
β
β
β
β
π
π
−−
=
−−
=
=−−−=∂
∂
→−−−−=−=
COURNOT-NASH EQUILIBRIUM FOR HETEROGENEOUS FIRMS (1)
• Resulting strategy pair is again Nash, however not symmetric (due to c1, c2, etc.)
• So, firm 2 is larger than firm 1!
quantity q2
22
2b
ca −2
1
2
222
1
2
1
11
1
22*
22*)6(
b
qb
b
caq
b
qb
b
caq
β
β
−−
=
−−
=
Firm 1
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 43
0quantity q1
22b
2
1
2b
qbβ−
*1
q
*2
q
1
11
2b
ca −
1
2
2b
qbβ−
Firm 2
COURNOT-NASH EQUILIBRIUM FOR HETEROGENEOUS FIRMS (2)
• If costs of firm 2 increase, firm 2 shrinks and firm 1 grows
quantity q2
22
2b
ca −
Firm 1
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 44
0quantity q1
22b
*1
q
*2
q
*'2
q
*'1
q
1
2
3
⇑→ '22 cc
Firm 2
COURNOT-NASH EQUILIBRIUM FOR HETEROGENEOUS FIRMS (3)
• If willingness to pay for products of firm 1 increase, firm 1 grows, firm 2 shrinks
quantity q2
1 ⇑→ '11 aa
Firm 1
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 45
0quantity q1*
1q
*2
q
*'2
q
*'1
q
2
3
Firm 2
1
11
2b
ca −
COURNOT-NASH EQUILIBRIUM FOR HETEROGENEOUS FIRMS (4)
• If the market of firm 2 grows (i.e., the reaction curve of firm 2 is getting steeper) firm 2 grows and firm 1 shrinks
quantity q2
*2
q
⇓→ 'bb
Firm 1
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 46
0quantity q1
2
1
2b
qbβ−
*1
q
*2
q
*'1
q
12
3
⇓→ '22 bb
Firm 2
'2 2
1
b
qbβ−
APPLE VS. SAMSUNG – KEY DIFFERENCES (1)
• Apple and Samsung differ in their strategies
• We have to depict these differences in our model
• Innovator - consumers love innovativeness
• Being innovative requires R&D – that’s
Apple
strategic characteristic
• High willingness to pay, however smaller customer base
• Industry specific fixed costs,
modelingapproach
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 47
requires R&D – that’s high fixed costs
• Industry specific fixed costs, significantly higher marginal costs
• Imitator and follower
• In all industries, Samsung as a cost leader
Samsung
• Lower willingness to pay, however larger customer base
• Industry specific fixed costs,drastically lower marginal costs
APPLE VS. SAMSUNG – KEY DIFFERENCES (2)
Suppose we did some decent market research and we analyzed balance sheets:
• Apple customers are “keen on Apple” (higher a), but customer base is
• a(1) = 1100
• b(1) = 0,7
• b(beta) = 0,5 (market Apple
Price-demand schedule
• c(1) = 400
• F = 10000 (industry specific)
Cost function
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 48
• a(2) = 1000
• b(2) = 0,6
• b(beta) = 0,5 (market specific)
• c(2)= 360
• F = 10000 (industry specific)
customer base is smaller (larger b)
• Samsung customers are not dedicated, yet customer base is larger
• Apple has about 10% higher marginal costs than Samsung (c(2) vs. c(1))
• b(beta) = 0,5 (market specific)
specific)
Samsung
APPLE VS. SAMSUNG – EQUILIBRIA (1)
Case (A)
• Firms are identical in demand and costs
• Firms have completely separate ‘local’ markets, i.e., that’s two monopolies (b(beta) = 0, i.e., no Apple customer would
1112
2
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FqcqqbqbqaCR
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qbqbap
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π →−−−−=−=
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==
>−−=
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(A)
Apple a (1) 1000,00
Samsung a (2) 1000,00
Apple c (1) 400,00
Samsung c (2) 400,00
Apple b (1) 0,70
Samsung b (2) 0,70
b (beta) (market specific) 0,00
F (industry specific) 10000,00
inp
ut
Apple vs
Samsung two separate
monopolies
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 49
Apple customer would ever consider buying Samsung)
• Applying formulas (1) to (6) gives equilibrium values
2
1
2
222
1
2
1
111
12111
1
1
22*
22*)6(
02)5(
b
qb
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β
β
π
−−
=
−−
=
=−−−=∂
∂
Apple q* (1) 428,57
Samsung q* (2) 428,57
Apple p* (1) 700,00
Samsung p* (2) 700,00
Apple pi* (1) 118571,43
Samsung pi* (2) 118571,43
Apple R (1) 300000,00
Samsung R (2) 300000,00
Apple C (1) 181428,57
Samsung C (2) 181428,57
Q 857,14
average p 700,00
Apple market share (1) 50,00%
Samsung market share (2) 50,00%
Apple profit share (1) 50,00%
Samsung profit share (2) 50,00%
Apple profit margin (1) 39,52%
Samsung profit margin (2) 39,52%
firm
le
ve
l re
sults
sta
tist
ics
APPLE VS. SAMSUNG – EQUILIBRIA (2)
Case (B)
• Firms are identical in demand and costs
• Firms have no separate ‘local’ markets, i.e., products are perfect substitutes(b(beta) = 1, customers are
(A) (B)
Apple a (1) 1000,00 1000,00
Samsung a (2) 1000,00 1000,00
Apple c (1) 400,00 400,00
Samsung c (2) 400,00 400,00
Apple b (1) 0,70 0,70
Samsung b (2) 0,70 0,70
b (beta) (market specific) 0,00 1,00
F (industry specific) 10000,00 10000,00
inp
ut
Apple vs
Samsung two separate
monopolies
perfect
substitutes
(b(beta)=1)
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 50
customers are completely indifferent between the two brands)
• Comparing (A) and (B), firms are smaller, profits are lower, prices are lower
Apple q* (1) 428,57 250,00
Samsung q* (2) 428,57 250,00
Apple p* (1) 700,00 575,00
Samsung p* (2) 700,00 575,00
Apple pi* (1) 118571,43 33750,00
Samsung pi* (2) 118571,43 33750,00
Apple R (1) 300000,00 143750,00
Samsung R (2) 300000,00 143750,00
Apple C (1) 181428,57 110000,00
Samsung C (2) 181428,57 110000,00
Q 857,14 500,00
average p 700,00 575,00
Apple market share (1) 50,00% 50,00%
Samsung market share (2) 50,00% 50,00%
Apple profit share (1) 50,00% 50,00%
Samsung profit share (2) 50,00% 50,00%
Apple profit margin (1) 39,52% 23,48%
Samsung profit margin (2) 39,52% 23,48%
firm
le
ve
l re
sults
sta
tist
ics
APPLE VS. SAMSUNG – EQUILIBRIA (3)
Case (C)
• Firms are identical in demand and costs
• b(beta) = 0,5, customers have a tendency for one of the brands
• Comparing (A), (B) and (C), firm size,
(A) (B) (C)
Apple a (1) 1000,00 1000,00 1000,00
Samsung a (2) 1000,00 1000,00 1000,00
Apple c (1) 400,00 400,00 400,00
Samsung c (2) 400,00 400,00 400,00
Apple b (1) 0,70 0,70 0,70
Samsung b (2) 0,70 0,70 0,70
b (beta) (market specific) 0,00 1,00 0,50
F (industry specific) 10000,00 10000,00 10000,00
inp
ut
Apple vs
Samsung two separate
monopolies
perfect
substitutes
(b(beta)=1)
imperfect
subsititutes
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 51
and (C), firm size, profits and prices are in-between, however identical across firms
Apple q* (1) 428,57 250,00 315,79
Samsung q* (2) 428,57 250,00 315,79
Apple p* (1) 700,00 575,00 621,05
Samsung p* (2) 700,00 575,00 621,05
Apple pi* (1) 118571,43 33750,00 59806,09
Samsung pi* (2) 118571,43 33750,00 59806,09
Apple R (1) 300000,00 143750,00 196121,88
Samsung R (2) 300000,00 143750,00 196121,88
Apple C (1) 181428,57 110000,00 136315,79
Samsung C (2) 181428,57 110000,00 136315,79
Q 857,14 500,00 631,58
average p 700,00 575,00 621,05
Apple market share (1) 50,00% 50,00% 50,00%
Samsung market share (2) 50,00% 50,00% 50,00%
Apple profit share (1) 50,00% 50,00% 50,00%
Samsung profit share (2) 50,00% 50,00% 50,00%
Apple profit margin (1) 39,52% 23,48% 30,49%
Samsung profit margin (2) 39,52% 23,48% 30,49%
firm
le
ve
l re
sults
sta
tist
ics
APPLE VS. SAMSUNG – EQUILIBRIA (4)
Case (D)
• Firms are now different: Apple having higher willingness to pay, Samsung lower marginal costs and a somewhat larger market
• Differences in inputs
• Innovator - consumers love innovativeness
• Being innovative requires R&D – that’s high fixed costs
Apple
strategic characteristic
• High willingness to pay, however smaller customer base
• Industry specific fixed costs, significantly higher marginal costs
modelingapproach
(D)
Apple a (1) 1100,00
Samsung a (2) 1000,00
Apple c (1) 400,00
Samsung c (2) 360,00
Apple b (1) 0,70
Samsung b (2) 0,60
b (beta) (market specific) 0,50
F (industry specific) 10000,00
inp
ut
Apple vs
Samsung cost and
demand
differences
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 52
• Differences in inputs leads to differences in output: Apple is smaller, yet having higher profits than Samsung due to much higher equilibrium prices
• Imitator and follower
• In all industries, Samsung as a cost leader
Samsung
• Lower willingness to pay, however larger customer base
• Industry specific fixed costs,drastically lower marginal costs
Apple q* (1) 363,64
Samsung q* (2) 381,82
Apple p* (1) 654,55
Samsung p* (2) 589,09
Apple pi* (1) 82561,98
Samsung pi* (2) 77471,07
Apple R (1) 238016,53
Samsung R (2) 224925,62
Apple C (1) 155454,55
Samsung C (2) 147454,55
Q 745,45
average p 621,02
Apple market share (1) 48,78%
Samsung market share (2) 51,22%
Apple profit share (1) 51,59%
Samsung profit share (2) 48,41%
Apple profit margin (1) 34,69%
Samsung profit margin (2) 34,44%
firm
le
ve
l re
sults
sta
tist
ics
APPLE VS. SAMSUNG – EQUILIBRIA (5)
Case (E)
• Suppose – due to pressure by shareholders –Samsung is realizing some cost cutting at ~ 10 % (decrease of c(2))
• Key results: Samsung is
(D) (E)
Apple a (1) 1100,00 1100,00
Samsung a (2) 1000,00 1000,00
Apple c (1) 400,00 400,00
Samsung c (2) 360,00 320,00
Apple b (1) 0,70 0,70
Samsung b (2) 0,60 0,60
b (beta) (market specific) 0,50 0,50
F (industry specific) 10000,00 10000,00
inp
ut
Apple vs
Samsung cost and
demand
differences
cost
reduction of
Samsung
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 53
• Key results: Samsung is growing, Apple is shrinking, and now Samsung is more profitable
• Following the cost reduction, Apple has to reduce prices (in order to maximize profits)
Apple q* (1) 363,64 349,65
Samsung q* (2) 381,82 420,98
Apple p* (1) 654,55 644,76
Samsung p* (2) 589,09 572,59
Apple pi* (1) 82561,98 75578,76
Samsung pi* (2) 77471,07 96334,00
Apple R (1) 238016,53 225438,90
Samsung R (2) 224925,62 241047,29
Apple C (1) 155454,55 149860,14
Samsung C (2) 147454,55 144713,29
Q 745,45 770,63
average p 621,02 605,33
Apple market share (1) 48,78% 45,37%
Samsung market share (2) 51,22% 54,63%
Apple profit share (1) 51,59% 43,96%
Samsung profit share (2) 48,41% 56,04%
Apple profit margin (1) 34,69% 33,53%
Samsung profit margin (2) 34,44% 39,96%
firm
le
ve
l re
sults
sta
tist
ics
APPLE VS. SAMSUNG – EQUILIBRIA (6)
Case (F)
• Suppose Apple is now releasing a new iPhone as an answer to cost cutting of Samsung (increase of a(1))
• Key results: drastic increase in quantity
(D) (E) (F)
Apple a (1) 1100,00 1100,00 1400,00
Samsung a (2) 1000,00 1000,00 1000,00
Apple c (1) 400,00 400,00 400,00
Samsung c (2) 360,00 320,00 320,00
Apple b (1) 0,70 0,70 0,70
Samsung b (2) 0,60 0,60 0,60
b (beta) (market specific) 0,50 0,50 0,50
F (industry specific) 10000,00 10000,00 10000,00
inp
ut
Apple vs
Samsung cost and
demand
differences
cost
reduction of
Samsung
introduction
of iPhone6
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 54
increase in quantity and price for Apple, Samsung lowering prices at the same time and also reducing quantity
• Apple is now dominating market share and captures more than 80 % of profits
Apple q* (1) 363,64 349,65 601,40
Samsung q* (2) 381,82 420,98 316,08
Apple p* (1) 654,55 644,76 820,98
Samsung p* (2) 589,09 572,59 509,65
Apple pi* (1) 82561,98 75578,76 243176,19
Samsung pi* (2) 77471,07 96334,00 49945,43
Apple R (1) 238016,53 225438,90 493735,63
Samsung R (2) 224925,62 241047,29 161092,28
Apple C (1) 155454,55 149860,14 250559,44
Samsung C (2) 147454,55 144713,29 111146,85
Q 745,45 770,63 917,48
average p 621,02 605,33 713,72
Apple market share (1) 48,78% 45,37% 65,55%
Samsung market share (2) 51,22% 54,63% 34,45%
Apple profit share (1) 51,59% 43,96% 82,96%
Samsung profit share (2) 48,41% 56,04% 17,04%
Apple profit margin (1) 34,69% 33,53% 49,25%
Samsung profit margin (2) 34,44% 39,96% 31,00%
firm
le
ve
l re
sults
sta
tist
ics
APPLE VS. SAMSUNG – EQUILIBRIA (7)
Case (G)
• Suppose Samsung is catching up, yet not completely, with a new version of Galaxy (increase of a(2))
• Key results: Apple still able to charger higher prices, but Samsung
(D) (E) (F) (G)
Apple a (1) 1100,00 1100,00 1400,00 1400,00
Samsung a (2) 1000,00 1000,00 1000,00 1200,00
Apple c (1) 400,00 400,00 400,00 400,00
Samsung c (2) 360,00 320,00 320,00 320,00
Apple b (1) 0,70 0,70 0,70 0,70
Samsung b (2) 0,60 0,60 0,60 0,60
b (beta) (market specific) 0,50 0,50 0,50 0,50
F (industry specific) 10000,00 10000,00 10000,00 10000,00
catching
with Galaxy
S5
inp
ut
Apple vs
Samsung cost and
demand
differences
cost
reduction of
Samsung
introduction
of iPhone6
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 55
prices, but Samsung drastically growing
• Market shares are like equal with Apple staying ahead in profits, especially due to much higher prices
Apple q* (1) 363,64 349,65 601,40 531,47
Samsung q* (2) 381,82 420,98 316,08 511,89
Apple p* (1) 654,55 644,76 820,98 772,03
Samsung p* (2) 589,09 572,59 509,65 627,13
Apple pi* (1) 82561,98 75578,76 243176,19 187721,16
Samsung pi* (2) 77471,07 96334,00 49945,43 147217,66
Apple R (1) 238016,53 225438,90 493735,63 410308,57
Samsung R (2) 224925,62 241047,29 161092,28 321021,86
Apple C (1) 155454,55 149860,14 250559,44 222587,41
Samsung C (2) 147454,55 144713,29 111146,85 173804,20
Q 745,45 770,63 917,48 1043,36
average p 621,02 605,33 713,72 700,94
Apple market share (1) 48,78% 45,37% 65,55% 50,94%
Samsung market share (2) 51,22% 54,63% 34,45% 49,06%
Apple profit share (1) 51,59% 43,96% 82,96% 56,05%
Samsung profit share (2) 48,41% 56,04% 17,04% 43,95%
Apple profit margin (1) 34,69% 33,53% 49,25% 45,75%
Samsung profit margin (2) 34,44% 39,96% 31,00% 45,86%
firm
le
ve
l re
sults
sta
tist
ics
AGENDA
What is managerial economics?1
Where do profits come from? 2
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 56
Deriving optimum competitive behavior using game theory3
Application to the Apple vs. Samsung case4
Key learnings & discussion5
KEY TERMS LEARNED (1)
• managerial economics: is concerned with application of economic concepts and economic analysis to the typical problems in managerial decision making
• in managerial economics, profit is just revenues minus costs and firms strive to maximize profits
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 57
• the profit function is maximized by choosing a strategy, i.e., a strategic variable (some evidence that quantity due to investment character is the key variable)
• game theory: a study of strategic decision making trying to identify some optimal behavior or strategy given potential strategies of others
KEY TERMS LEARNED (2)
• a game is described by a) list of players, b) list of strategies or actions available, c) description of payoffs or profits for each strategy and d) rules of the game
• to find a solution to a game, a) check, whether there are dominant strategies, b) apply a solution concept, preferably maximin, and c) identify the Nash-equilibrium, check if it is unique
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 58
• the Cournot-Nash model proves quite flexible and powerful to analyze competition, see the Apple vs. Samsung case study
• key limitations and obstacles are: data, and what if managers do not really maximize profits
BACK UP
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 59
FURTHER READING
• Fisher, T.C.G., Prentice, D. and Washik, R., Managerial economics: a strategic approach, Milton Park 2010.
• Besanko, D., Dranove, D., Schaefer, S. and Shanley, M., Economics of strategy, Boston 2007.
• Mansfield, E., Allen, W.B., Doherty, N., and Weigelt, K., Managerial economics: theory, applications, and cases, New York 2009.
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 60
APPLE VS. SAMSUNG – EQUILIBRIA
(A) (B) (C) (D) (E) (F) (G)
Apple a (1) 1000,00 1000,00 1000,00 1100,00 1100,00 1400,00 1400,00
Samsung a (2) 1000,00 1000,00 1000,00 1000,00 1000,00 1000,00 1200,00
Apple c (1) 400,00 400,00 400,00 400,00 400,00 400,00 400,00
Samsung c (2) 400,00 400,00 400,00 360,00 320,00 320,00 320,00
Apple b (1) 0,70 0,70 0,70 0,70 0,70 0,70 0,70
Samsung b (2) 0,70 0,70 0,70 0,60 0,60 0,60 0,60
b (beta) (market specific) 0,00 1,00 0,50 0,50 0,50 0,50 0,50
F (industry specific) 10000,00 10000,00 10000,00 10000,00 10000,00 10000,00 10000,00
Apple q* (1) 428,57 250,00 315,79 363,64 349,65 601,40 531,47
catching
with Galaxy
S5
inp
ut
Apple vs
Samsung two separate
monopolies
perfect
substitutes
(b(beta)=1)
imperfect
subsititutes
cost and
demand
differences
cost
reduction of
Samsung
introduction
of iPhone6
COMPETITION BETWEEN APPLE AND SAMSUNG - CASE STUDY / Dr. Markus Thomas Münter 61
Apple q* (1) 428,57 250,00 315,79 363,64 349,65 601,40 531,47
Samsung q* (2) 428,57 250,00 315,79 381,82 420,98 316,08 511,89
Apple p* (1) 700,00 575,00 621,05 654,55 644,76 820,98 772,03
Samsung p* (2) 700,00 575,00 621,05 589,09 572,59 509,65 627,13
Apple pi* (1) 118571,43 33750,00 59806,09 82561,98 75578,76 243176,19 187721,16
Samsung pi* (2) 118571,43 33750,00 59806,09 77471,07 96334,00 49945,43 147217,66
Apple R (1) 300000,00 143750,00 196121,88 238016,53 225438,90 493735,63 410308,57
Samsung R (2) 300000,00 143750,00 196121,88 224925,62 241047,29 161092,28 321021,86
Apple C (1) 181428,57 110000,00 136315,79 155454,55 149860,14 250559,44 222587,41
Samsung C (2) 181428,57 110000,00 136315,79 147454,55 144713,29 111146,85 173804,20
Q 857,14 500,00 631,58 745,45 770,63 917,48 1043,36
average p 700,00 575,00 621,05 621,02 605,33 713,72 700,94
Apple market share (1) 50,00% 50,00% 50,00% 48,78% 45,37% 65,55% 50,94%
Samsung market share (2) 50,00% 50,00% 50,00% 51,22% 54,63% 34,45% 49,06%
Apple profit share (1) 50,00% 50,00% 50,00% 51,59% 43,96% 82,96% 56,05%
Samsung profit share (2) 50,00% 50,00% 50,00% 48,41% 56,04% 17,04% 43,95%
Apple profit margin (1) 39,52% 23,48% 30,49% 34,69% 33,53% 49,25% 45,75%
Samsung profit margin (2) 39,52% 23,48% 30,49% 34,44% 39,96% 31,00% 45,86%
firm
le
ve
l re
sults
sta
tist
ics