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1 37 : Application of Game Theory and Product Pricing

37 : Application of Game Theory and Product Pricing · Product Pricing . Application of Game theory in Economics 3 ... • Sequential move game different from the cournot's game

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Page 1: 37 : Application of Game Theory and Product Pricing · Product Pricing . Application of Game theory in Economics 3 ... • Sequential move game different from the cournot's game

1

37 : Application of Game Theory and Product

Pricing

Page 2: 37 : Application of Game Theory and Product Pricing · Product Pricing . Application of Game theory in Economics 3 ... • Sequential move game different from the cournot's game

Prof. Trupti Mishra, School of Management, IIT Bombay

Session Outline Application of Game Theory in Economics Product Pricing

Page 3: 37 : Application of Game Theory and Product Pricing · Product Pricing . Application of Game theory in Economics 3 ... • Sequential move game different from the cournot's game

Application of Game theory in Economics

3

Market Entry Game •Game of entry of potential firm in an industry which already has a monopoly firm. •The incumbent has to decide whether to enter the market or stay our. •Monopolist has two options, colludes or fights with entrant firm.

Prof. Trupti Mishra, School of Management, IIT Bombay

Page 4: 37 : Application of Game Theory and Product Pricing · Product Pricing . Application of Game theory in Economics 3 ... • Sequential move game different from the cournot's game

Application of Game theory in Economics

4

Market Entry Game •What should be the strategy of a rational monopolist? •Nash equilibrium occurs when the entrant enters and the incumbent firm colludes with it.

Prof. Trupti Mishra, School of Management, IIT Bombay

Page 5: 37 : Application of Game Theory and Product Pricing · Product Pricing . Application of Game theory in Economics 3 ... • Sequential move game different from the cournot's game

Application of Game theory in Economics

5

Cournot’s Model •The Cournot’s game is a simultaneous move game where the firms strategically choose outputs such as to maximize profit.. •The firm knows that their choice of quantity is dependent on what the rival firms choose.

Prof. Trupti Mishra, School of Management, IIT Bombay

Page 6: 37 : Application of Game Theory and Product Pricing · Product Pricing . Application of Game theory in Economics 3 ... • Sequential move game different from the cournot's game

Application of Game theory in Economics

6

Cournot’s Model •If both firms fight with each other , than they earn duopoly profit. •If they form a cartel, each firm earns a greater profit but given the structure of game and the player’s rivalry, they end up in suboptimal equilibrium.

Prof. Trupti Mishra, School of Management, IIT Bombay

Page 7: 37 : Application of Game Theory and Product Pricing · Product Pricing . Application of Game theory in Economics 3 ... • Sequential move game different from the cournot's game

Application of Game theory in Economics

7

Stackelberg’s Model • Sequential move game different from the cournot's game. •One firm known as the leader chooses his output, second firm chooses after observing first’s quantity – Follower’s Firm •Follower – Leader game.

Prof. Trupti Mishra, School of Management, IIT Bombay

Page 8: 37 : Application of Game Theory and Product Pricing · Product Pricing . Application of Game theory in Economics 3 ... • Sequential move game different from the cournot's game

Application of Game theory in Economics

8

Stackelberg’s Model •Leader firm sets a higher quantity of output and earns more profits than follower’s firm •First Mover Advantages

Prof. Trupti Mishra, School of Management, IIT Bombay

Page 9: 37 : Application of Game Theory and Product Pricing · Product Pricing . Application of Game theory in Economics 3 ... • Sequential move game different from the cournot's game

Application of Game theory in Economics

9

Stackelberg’s Model • Equilibrium – backward induction in the game theory. •The technique first considers the optimal strategy of the player and its best response which takes moves that are last in the game.

Prof. Trupti Mishra, School of Management, IIT Bombay

Page 10: 37 : Application of Game Theory and Product Pricing · Product Pricing . Application of Game theory in Economics 3 ... • Sequential move game different from the cournot's game

Application of Game theory in Economics

10

Stackelberg’s Model Predicting future action of last player , the second last player proceeds taking the best move and the process continues backward in time determining for each player best response, until the beginning of the game is reached.

Prof. Trupti Mishra, School of Management, IIT Bombay

Page 11: 37 : Application of Game Theory and Product Pricing · Product Pricing . Application of Game theory in Economics 3 ... • Sequential move game different from the cournot's game

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Product Pricing

Prof. Trupti Mishra, School of Management, IIT Bombay

Page 12: 37 : Application of Game Theory and Product Pricing · Product Pricing . Application of Game theory in Economics 3 ... • Sequential move game different from the cournot's game

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Prof. Trupti Mishra, School of Management, IIT Bombay

Product Pricing

Price -Revenue to Seller -Perceived Value of the goods or services to the buyer

-What is the right price for a product. -All economic agent maximize their objectives.

Page 13: 37 : Application of Game Theory and Product Pricing · Product Pricing . Application of Game theory in Economics 3 ... • Sequential move game different from the cournot's game

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Prof. Trupti Mishra, School of Management, IIT Bombay

Product Pricing

Price -When a firm need to decide about the price of its product? -Seller of new product -Seller of modified/improved product -Seller entering into new market /market segment

Page 14: 37 : Application of Game Theory and Product Pricing · Product Pricing . Application of Game theory in Economics 3 ... • Sequential move game different from the cournot's game

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Prof. Trupti Mishra, School of Management, IIT Bombay

Product Pricing

Basic Determinant of Price -Supply and demand -Objective of the firm -Cost of production -Market structure -Competitor's strategy -Elasticity of Demand - Government policy

Page 15: 37 : Application of Game Theory and Product Pricing · Product Pricing . Application of Game theory in Economics 3 ... • Sequential move game different from the cournot's game

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Prof. Trupti Mishra, School of Management, IIT Bombay

Multi Product Pricing

Most modern firms produces a variety of product rather than single product. Demand for various products are separable but the costs are not quite divisible product wise.

Page 16: 37 : Application of Game Theory and Product Pricing · Product Pricing . Application of Game theory in Economics 3 ... • Sequential move game different from the cournot's game

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Prof. Trupti Mishra, School of Management, IIT Bombay

Multi Product Pricing Separate demand function, one cost function. Profit maximizing price will be given by the point at which the combined marginal revenue for the products equals the marginal cost.

Page 17: 37 : Application of Game Theory and Product Pricing · Product Pricing . Application of Game theory in Economics 3 ... • Sequential move game different from the cournot's game

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Prof. Trupti Mishra, School of Management, IIT Bombay

Price Discrimination

It is the act of charging different prices to different consumers

in order to capture consumer surplus.

Page 18: 37 : Application of Game Theory and Product Pricing · Product Pricing . Application of Game theory in Economics 3 ... • Sequential move game different from the cournot's game

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Prof. Trupti Mishra, School of Management, IIT Bombay

Price Discrimination

A firm must have market power or some control over price

The firm must be able to distinguish between consumers/ markets on the basis of elasticity of demand

The firm must be able to prevent resale – market must be

separable

Page 19: 37 : Application of Game Theory and Product Pricing · Product Pricing . Application of Game theory in Economics 3 ... • Sequential move game different from the cournot's game

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Prof. Trupti Mishra, School of Management, IIT Bombay

Price Discrimination

Discrimination owing to consumer’s peculiarities Discrimination owing to nature of goods Discrimination owing to distance and front barrier.

Page 20: 37 : Application of Game Theory and Product Pricing · Product Pricing . Application of Game theory in Economics 3 ... • Sequential move game different from the cournot's game

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Prof. Trupti Mishra, School of Management, IIT Bombay

Types of Price Discrimination

First Degree Second Degree Third Degree

Page 21: 37 : Application of Game Theory and Product Pricing · Product Pricing . Application of Game theory in Economics 3 ... • Sequential move game different from the cournot's game

21

Prof. Trupti Mishra, School of Management, IIT Bombay

First Degree Price Discrimination

In first degree price discrimination, the monopolist charges

each consumer their maximum willingness to pay. First Degree Price Discrimination eliminates consumer

surplus (each consumer pays their maximum amount)

Page 22: 37 : Application of Game Theory and Product Pricing · Product Pricing . Application of Game theory in Economics 3 ... • Sequential move game different from the cournot's game

22

Prof. Trupti Mishra, School of Management, IIT Bombay

First Degree Price Discrimination

It charges maximum possible price for each units of

output. First Degree Price Discrimination eliminates deadweight

loss (monopolists are able to provide goods to more consumers)

Page 23: 37 : Application of Game Theory and Product Pricing · Product Pricing . Application of Game theory in Economics 3 ... • Sequential move game different from the cournot's game

Second Degree Price Discrimination

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Instead of setting different prices for each unit, pricing is done on the basis on quantities of output purchased by individual consumer. Example: Metered services like electricity, telephone.

Prof. Trupti Mishra, School of Management, IIT Bombay

Page 24: 37 : Application of Game Theory and Product Pricing · Product Pricing . Application of Game theory in Economics 3 ... • Sequential move game different from the cournot's game

Third Degree Price Discrimination

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This is most common type It separates markets on the basis of the price elasticity of demand Segmentation is based on geographic separation of markets, nature of use, personal characteristics of consumer.

Prof. Trupti Mishra, School of Management, IIT Bombay

Page 25: 37 : Application of Game Theory and Product Pricing · Product Pricing . Application of Game theory in Economics 3 ... • Sequential move game different from the cournot's game

Session References

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Micro Economics :ICFAI University Press

Managerial economics – Geetika, Ghosh and

Choudhury

Managerial Economics – Dr Atamanand

Prof. Trupti Mishra, School of Management, IIT Bombay