Bimatrix Games (a) Give an example of a 2 2-bimatrix game with exactly two Nash equilibria in pure strategies and no other Nash equilibrium. For your example, determine the players’ reaction functions...

Bimatrix Games

(a) Give an example of a 22-bimatrix game with exactly two Nash equilibria in pure strategies and no other Nash equilibrium. For your example, determine the players’ reaction functions and make a picture, showing that your example is as desired.

(b) Consider the following bimatrix game:

Assume that a > e. Give necessary and sufficient further conditions on the payoffs such that the game has no pure strategy Nash equilibria. Under these conditions, determine all mixed Nash equilibria of the game.