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Chapter Ten Copyright 2009 Pearson Education, Inc. Publishing as Prentice Hall. 1 Chapter 10 Special Pricing Policies

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Page 1: Chapter TenCopyright 2009 Pearson Education, Inc. Publishing as Prentice Hall. 1 Chapter 10 Special Pricing Policies

Chapter Ten Copyright 2009 Pearson Education, Inc. Publishing as Prentice Hall.

1

Chapter 10

Special Pricing Policies

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Chapter Ten Copyright 2009 Pearson Education, Inc. Publishing as Prentice Hall.

2

Overview

Cartel arrangementsPrice leadershipRevenue maximizationPrice discriminationNonmarginal pricingMultiproduct pricingTransfer pricing

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Cartel arrangements A cartel is an arrangement where firms in

an industry cooperate and act together as if they were a monopoly

• cartel arrangements may be tacit or formal

• illegal in the US: Sherman Antitrust Act, 1890

• examples: OPEC

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Cartel arrangements Conditions that influence the formation of

cartels small number of large firms in the

industry geographical proximity of the firms homogeneous products that do not

allow differentiation stage of the business cycle difficult entry into industry uniform cost conditions, usually defined

by product homogeneity

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Cartel arrangements In order to maximize profits, the cartel as

a whole should behave as a ‘monopolist’ the cartel determines the output which

equates MR = MC of the cartel as a whole the MC of the cartel as a whole is the

horizontal summation of the members’ marginal cost curves

price is set in the normal monopoly way, by determining quantity demanded where MC=MR and deriving P from the demand curve at that Q

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Cartel arrangements

MCT is the horizontal sum of MCI and MCII

QT is found at the intersection of MRT and MCT

price is found from the demand curve at QT … this is the price that maximizes total industry profits

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Cartel arrangements

to determine how much each firm should produce, draw a horizontal line back from the MRT/MCT intersection

where this line intersects each individual firm’s MC determines that firm’s output, QI and QII. Note that the firms may produce different outputs

Key point: the MC of the last unit produced is equated across both firms

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Cartel arrangements

Profits for each firm are shown as rectangles in blue

Firms may earn different levels of profit, though combined profits are maximized

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Cartel arrangements Problem: incentive for firms to cheat on

agreement, thus cartels are unstable

Additional costs facing the cartel formation costs monitoring costs enforcement costs cost of punishment by authorities

weigh the benefits against these costs

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Cartel arrangements Examples: price fixing by cartels

GE, Westinghouse Archer Daniels Midland Company Sotheby’s, Christie’s Roche Holding AG, BASF AG

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Price leadership Barometric price leadership

one firm in an industry will initiate a price change in response to economic conditions

the other firms may or may not follow this leader

leader may vary

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Price leadership Dominant price leadership

one firm is the industry leader dominant firm sets price with the

realization that the smaller firms will follow and charge the same price

can force competitors out of business or buy them out under favorable terms

could result in investigation under Sherman Anti-Trust Act

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Price leadership DT = demand curve

for entire industry

MCD = marginal cost of the dominant firm

MCR = summation of MC of follower firms

in setting price, dominant firm must consider the amount supplied by all firms

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Price leadership

Demand curve facing the dominant firm is found by subtracting MCR from DT

dominant firm equates its MC with MR from its ‘residual demand curve’ DD

the dominant firm sells A units and the rest of the demand (QT – A) is supplied by the follower firms

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Revenue maximization Baumol model: firms maximize revenue

(not profit) subject to maintaining a specific level of profits

Rationalea firm will become more competitive

when it achieves a large sizemanagement remuneration may be

related to revenue not profits Implication: unlike the profit maximization

case, a change in fixed costs will alter price and output (by raising the cost curve and lowering the profit line)

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Price discrimination Price discrimination: products with

identical costs are sold in different markets at different prices

the ratio of price to marginal cost differs for similar products

Conditions for price discrimination the markets in which the products are

sold must by separated (no resale between markets)

the demand curves in the market must have different elasticities

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Price discrimination First degree price discrimination

seller can identify where each consumer lies on the demand curve and charges each consumer the highest price the consumer is willing to pay

allows the seller to extract the greatest amount of profits

requires a considerable amount of information

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Price discrimination Second degree price discrimination

differential prices charged by blocks of services

requires metering of services consumed by buyers

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Price discrimination Third degree price discrimination

customers are segregated into different markets and charged different prices in each

segmentation can be based on any characteristic such as age, location, gender, income, etc

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Price discrimination

Third degree discrimination:• assume the firm operates in two markets, A and B• the demand in market A is less elastic than the demand in market B• the entire market faced by the firm is described by the horizontal

sum of the demand and marginal revenue curves …

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Price discrimination

• the firm finds the total amount to produce by equating the marginal revenue and marginal cost in the market as a whole: QT

• if the firm were forced to charge a uniform price, it would find the price by examining the aggregate demand DT at the output level QT

• the firm can increase its profits by charging a different price in each market …

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Price discrimination

• in order to find the optimum price to charge in each market, draw a horizontal line back from the MRT/MCT intersection

• where this line intersects each submarket’s MR curve determines the amount that should be sold in each market: QA and QB

• these quantities are then used to determine the price in each market using the demand curves DA and DB

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Price discrimination

Examples of price discrimination

• doctors

• telephone calls

• theaters

• hotel industry

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Price discrimination Tying arrangement: a buyer of one

product is obligated to also buy a related product from the same supplier

illegal in some cases one explanation: a device to ‘meter’

demand for tied product other explanations of tying

quality controlefficiencies in distributionevasion of price controls

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Nonmarginal pricing Cost-plus pricing: price is set by first

calculating the variable cost, adding an allocation for fixed costs, and then adding a profit percentage or markup

Problems with cost-plus pricing

calculation of average variable costallocation of fixed costsize of the markup

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Nonmarginal pricing Incremental pricing (and costing)

analysis: deals with changes in total revenue and total cost resulting from a decision to change prices or product

Features:• incremental, similar to marginal analysis• only revenues and costs that will change

due to the decision are considered• examples of product change: new

product, discontinue old product, improve a product, capital equipment

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Multiproduct pricing When the firm produces two or more

products

Case 1: products are complements in terms of demand an increase in the quantity sold of one will bring about an increase in the quantity sold of the other

Case 2: products are substitutes in terms of demand an increase in the quantity sold of one will bring about a decrease in the quantity sold of the other

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Multiproduct pricing When the firm produces two or more

products

Case 3: products are joined in production products produced from one set of inputs

Case 4: products compete for resources using resources to produce one product takes those resources away from producing other products

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Transfer pricing Internal pricing: as the product moves

through these divisions on the way to the consumer it is ‘sold’ or transferred from one division to another at a ‘transfer price’

Rationale:• firm subdivided into divisions, each may

be charged with a profit objective• without any coordination, the final price of

the product to consumers may not maximize profits for the firm as a whole

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Transfer pricing Design of the optimal transfer pricing

mechanism is complicated by the fact that

each division may be able to sell its product in external markets as well as internally

each division may be able to procure inputs from external markets as well as internally

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Transfer pricing Case A: no external markets

no division can buy from or sell to an external market

the selling division will produce exactly the number of components that will be used by the purchasing division

one demand curve and two MC curves MC curves are summed vertically set production where MR = Total MC

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Transfer pricing Case B: external markets

divisions have the opportunity to buy or sell in outside competitive markets

if selling division prices above the external market price, the buying division will buy from outside

if selling division cannot produce enough to satisfy buying division demand, the buying division will buy additional units from the external market

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Other pricing practices Price skimming

the first firm to introduce a product may have a temporary monopoly and may be able to charge high prices and obtain high profits until competition enters

Penetration pricing selling at a low price in order to obtain

market share

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Other pricing practices Prestige pricing

demand for a product may be higher at a higher price because of the prestige that ownership bestows on the owner

Psychological pricing demand for a product may be quite inelastic

over a certain range but will become rather elastic at one specific higher or lower price