HP and Sony compete primarily by price. Each firm must choose either a high price or a low price simultaneously. Use the following information to create the profit matrix: If HP and Lenovo both set high prices, HP’s profit is $40 million and Sony’s profit is $35 million. If HP sets high price and Sony sets low price, HP’s profit is $25 million and Sony’s profit is $40 million. If HP sets low price and Sony sets high price, HP’s profit is $50 million and Sony’s profit is $10 million. If HP and Sony set low prices, HP has $20 million and Sony has $15 million.   Please answer the follow questions: Does Sony have a dominant strategy? HP? If so, which one? If HP and Sony maximize their profits non-cooperatively, what is the Nash-equilibrium for this profit matrix? Instead, if HP and Sony maximize their joint profits cooperatively, what is the equilibrium? Assume they keep their agreements.

Survey Of Economics
10th Edition
ISBN:9781337111522
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter9: Monopolistic Competition And Oligoply
Section: Chapter Questions
Problem 11SQP
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HP and Sony compete primarily by price. Each firm must choose either a high price or a low price simultaneously. Use the following information to create the profit matrix:

  1. If HP and Lenovo both set high prices, HP’s profit is $40 million and Sony’s profit is $35 million.
  2. If HP sets high price and Sony sets low price, HP’s profit is $25 million and Sony’s profit is $40 million.
  3. If HP sets low price and Sony sets high price, HP’s profit is $50 million and Sony’s profit is $10 million.
  4. If HP and Sony set low prices, HP has $20 million and Sony has $15 million.

 

Please answer the follow questions:

  1. Does Sony have a dominant strategy? HP? If so, which one?
  2. If HP and Sony maximize their profits non-cooperatively, what is the Nash-equilibrium for this profit matrix?
  3. Instead, if HP and Sony maximize their joint profits cooperatively, what is the equilibrium? Assume they keep their agreements.

 

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