Consider the following three-player game (player 3 chooses A or B, the payoffs are listed in order of the player numbers): Player 2 Player 2 L R L R U 2, 2,0 5, 5, 5 U 4, 4, 1 4, 2,8 Player 1 Player 1 D 8, 6, 8 0, 7, 4 D 0,2,9 4, 2, 5 А B 1. Find the pure-strategy Nash equilibria of this game. 2. Consider the two-period repeated game (the repeated game payoffs are simply the sums of the payoffs in the two periods). Find the subgame-perfect equilibria of the repeated game and list the set of payoffs.
Consider the following three-player game (player 3 chooses A or B, the payoffs are listed in order of the player numbers): Player 2 Player 2 L R L R U 2, 2,0 5, 5, 5 U 4, 4, 1 4, 2,8 Player 1 Player 1 D 8, 6, 8 0, 7, 4 D 0,2,9 4, 2, 5 А B 1. Find the pure-strategy Nash equilibria of this game. 2. Consider the two-period repeated game (the repeated game payoffs are simply the sums of the payoffs in the two periods). Find the subgame-perfect equilibria of the repeated game and list the set of payoffs.
Chapter8: Game Theory
Section: Chapter Questions
Problem 8.1P
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