<br/> -Consider a population consisting of two types, A and B; and

assume that the change in the composition of the population is related in the standard way to the average payoffs received by the two types. A-types always play strategy A; B-types always play strategy B. The players are matched randomly and receive payoffs described by the following payoff matrix: Player 2
AB A 0:0 3;1 B 1;3 2;2
Player 1
Derive the expected payoff to each of the two types of players as a 
function of the proportion (x) of players of type A.

-(b) Analyze the evolution of the share of type A in the population. Consider first the case in which the initial share of A-types is 0:1; consider then the case in which the initial share is 0:9: Describe the evolution- arily stable outcome.
-(c) Now change the payo§s for when an A player meets an A player in such a way that the A strategy becomes evolutionarily stable.
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AB A 0:0 3;1 B 1;3 2;2
Player 1