Find set of pure strategy symmetric nash equilibria of game

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(Example of evolutionarily stable actions) Pairs of members of a single population engage in the following game. Each player has three actions, corresponding to demands of 1, 2, or 3 units of payo?. If both players in a pair make the same demand, each player obtains her demand. Otherwise the player who demands less obtains the amount demanded by her opponent, while the player who demands more obtains aδ, where a is her demand and δ is a number less than 1 . Find the set of pure strategy symmetric Nash equilibria of the game, and the set of pure evolutionarily stable strategies. What happens if each player has n actions, corresponding to demands of 1, 2, . . . , n units of payo? (and δ 1/n)?

Reference no: EM13906892

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