Consider the following 3 x 3 simultaneous-move game ("3 x 3" means that both players have three pure strategies).

(a)  Given that all you know about the game is the above game table and that a, b and c is that they are three arbitrary constants, find all strictly dominated strategies for the players (Hint: One strategic consequence of introducing mixed strategies to a game is that now a pure strategy can be strictly dominated by a mixed strategy, which is the case for one of the players in the above game.)
(b) Find all (pure-strategy and mixed-strategy) Nash equilibrium for the above game.

Transcribed Image Text:

T 11 0,0 2.0.3 M 0,0 1,1 1,0.3 B | 0.3.a | 0.3.b | 0.5.c