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 payoff. If both players in a pair make the same demand, each player obtains her demand. Otherwise the player who demands less obtains theamount demanded by her opponent, while the player who demands more obtains a, where a is her demand and is a number less than 1/3.

a.Find the set of pure evolutionarily stable strategies.

b. Now suppose each player has n actions, corresponding to demands of (1, 2, . . ., n) units of payoff and assume that < 1/n. Find the set of pure evolutionarily stable strategies.