3. The following is an interpretation of the rivalry between the United States (USA) and the Soviet Union (USSR) during the cold war. Each side has the choice of two strategies: Aggressive and Restrained. The payoff table is given as follows: USSR Restrained Aggressiveness Restrained 4,3 1,4 USA Aggressiveness 3,1 2,2 a) Consider this game when the two countries move simultaneously. Find all pure strategy Nash equilibria.

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Chapter8: Game Theory
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3. The following is an interpretation of the rivalry between the United States (USA) and
the Soviet Ünion (USSR) during the cold war. Each side has the choice of two
strategies: Aggressive and Restrained. The payoff table is given as follows:
USSR
Restrained Aggressiveness
Restrained
4,3
1,4
USA
Aggressiveness
3,1
2,2
a) Consider this game when the two countries move simultaneously. Find all pure
strategy Nash equilibria.
b) Next consider three alternative ways in which the game could be played with
sequential moves: (i) The USA moves first and the USSR moves second. (i)
the USSR moves first and the USA moves second. (i) The USSR moves first,
and the USA moves second, but the USSR has a further move after the USA
moves. For each case, draw the game tree and find the subgame-perfect Nash
equilibrium.
c) What are the key strategic issues (commitment, credibility and so on) for the
two countries.
(Note: Be concise. Your answer should not exceed 300 words].
Transcribed Image Text:3. The following is an interpretation of the rivalry between the United States (USA) and the Soviet Ünion (USSR) during the cold war. Each side has the choice of two strategies: Aggressive and Restrained. The payoff table is given as follows: USSR Restrained Aggressiveness Restrained 4,3 1,4 USA Aggressiveness 3,1 2,2 a) Consider this game when the two countries move simultaneously. Find all pure strategy Nash equilibria. b) Next consider three alternative ways in which the game could be played with sequential moves: (i) The USA moves first and the USSR moves second. (i) the USSR moves first and the USA moves second. (i) The USSR moves first, and the USA moves second, but the USSR has a further move after the USA moves. For each case, draw the game tree and find the subgame-perfect Nash equilibrium. c) What are the key strategic issues (commitment, credibility and so on) for the two countries. (Note: Be concise. Your answer should not exceed 300 words].
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