Question

You operate in a duopoly in which you and a rival must simultaneously decide what price...

You operate in a duopoly in which you and a rival must simultaneously decide what price to advertise in the weekly newspaper. 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. If you charge different prices, the one charging the higher price loses $5 and the one charging the lower price makes $5.

Your Rival

Low Price

High Price

Low Price

(0, 0)

(5, −5)

You

High Price

(−5, 5)

(3, 3)

(a) Find the Nash equilibrium for a one-shot version of this game.

(b) Now suppose the game is infinitely repeated. If the interest rate is 10 percent, can you do better than you could in a one-shot play of the game? Explain.

(c) Explain how "history" affects the ability of firms in this game to achieve an outcome superior to that of the one-shot version of the game.

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Answer #1

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