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Nash equilibrium.

Nash equilibrium.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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2. Consider the infinitely repeated game with discount factor 8 =0.99 and the following stage game (in which the players are trading favors): Give Keep Give 1,1 -1,2 Keep 2,-1 0,0 (a) Find a subgame perfect equilibrium under which the average expected payoff of Player 1 is at least 1.33. Verify that your strategy profile is indeed a subgame- perfect Nash equilibrium. (b) Find a subgame-perfect equilibrium under which the average expected payoff of Player 1 is at least 1.49. Verify that your strategy profile is indeed a subgame- perfect Nash equilibrium.
Transcribed Image Text:2. Consider the infinitely repeated game with discount factor 8 =0.99 and the following stage game (in which the players are trading favors): Give Keep Give 1,1 -1,2 Keep 2,-1 0,0 (a) Find a subgame perfect equilibrium under which the average expected payoff of Player 1 is at least 1.33. Verify that your strategy profile is indeed a subgame- perfect Nash equilibrium. (b) Find a subgame-perfect equilibrium under which the average expected payoff of Player 1 is at least 1.49. Verify that your strategy profile is indeed a subgame- perfect Nash equilibrium.
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