Alice and Bob are playing a repeated game in which a certain stage game is played twice in succession. All behaviour in the first period is observed by both players before the second period commences. In the stage game, Alice has 4 pure strategies and Bob has 3 pure strategies. How many pure strategies does Bob have in the repeated game? (If necessary, use a calculator to compute this number.) 1728 531441 12 1594323 67108864 16777216 20736 3. 13

Alice and Bob are playing a repeated game in which a certain stage game is played twice in succession. All behaviour in the first period is observed by both players before the second period commences. In the stage game, Alice has 4 pure strategies and Bob has 3 pure strategies. How many pure strategies does Bob have in the repeated game? (If necessary, use a calculator to compute this number.) 1728 531441 12 1594323 67108864 16777216 20736 3. 13

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter2: Mathematics For Microeconomics

Section: Chapter Questions

Problem 2.16P

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FINITE REPETITION Alice and Bob are playing a repeated game in which a certain stage game is played twice in succession. All behaviour in the first period is observed by both players before the second period commences. In the stage game, Alice has 3 pure strategies and Bob has 2 pure strategies. How many pure strategies does Bob have in the repeated game? (If necessary, use a calculator to compute this number.) 2 6 2187 3 36 64 7 729 128 216 Please do fast ASAP fast
There are N women that all share the same toilet every day in an office building. Each sits on the toilet to use it and must decide whether to put down toilet paper on top of the toilet or sit directly on it. The toilet is cleaned just once a day at a random time and no one knows when this is done. It takes time and effort to put down toilet paper so if she knew the toilet was clean (either because she is the first to use it after it was cleaned or if all previous users after it was last cleaned put down toilet paper) she would rather not put down toilet paper. However, if she believes the toilet is dirty she would rather put down toilet paper. a) Is this game best described as simultaneous or sequential move? b) How many equilibria are there in this game? c) Briefly provide a general description of the equilibria. Which equilibrium/equilibria provide the highest social payoff?
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