Consider the following game

2. (24 points) Consider the following game: T H B T C , C -2,1 0,0 H 1,-2 1,1 -2,1 B 0,0 1,-2 0,0 (a) Find the range of values for c that make T an evolutionarily stable strategy (ESS). (b) Find the range of values of c so that the game will have three pure- strategy equilibria but no pure strategy that is an ESS. (c) Suppose c = 2. i. Find all symmetric Nash equilibria (including all symmetric pure- or mixed-strategy equilibria). ii. For each symmetric equilibrium you find, evaluate whether the strategy played by both players is ESS