Answered: Ma3. You operate in a duopoly in which…

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)

14th Edition

ISBN:9781305506381

Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Chapter13: best-practice Tactics: Game Theory

Section: Chapter Questions

Problem 3E

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Ma3.

You operate in a duopoly in which you and a rival must simultaneously decide what price to charge for the same homogeneous product. Assume each you and your rival can choose a “low price” or a “high price”. If you each charge a low price, you each earn zero profits. If you each charge a high price, you each earn profits of $3 million. If you charge different prices, the one charging the high price loses $5 million and the one charging the low price makes $5 million.

What is the Nash equilibrium for the non-repeated version of this game?

Now suppose the game is infinitely repeated. If the interest rate is 10%, can you do better than you could in the non-repeated version of this game? If your answer is “yes”, provide the players’ strategies and any other conditions that must hold.

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