1 10 points True or false and explain a A strategic form gam

1. (10 points) True or false, and explain.

(a) A strategic form game may not have any Nash equilibrium, even in mixed strategies.

(b) If a player uses two pure strategies, A and B, in a mixed NE, then the expected payoffs from A and B must be equal in this equilibrium.

Solution

a. True. It has been observed that in chess like games, There might not exist Nash Equilibrium even in mixed strategy.

b.True, In case of Mixed strategy Nash equilibrium, the expected pay off from A and B must be equal in a mixed Nash equilibrium game.