Problem 1: Consider the following simultaneous move game with two players, denoted by 1 and 2: 1\\2 L M R T 1.0 0.1 5.0 B 0.2 2.1 1.0 1. Is there a strategy for any of the players which a player would never choose? 2. If there is a strategy which a player never chooses (it is called, a dominated strategy), and this fact is known among the players, find the equilibria of the game. Hint: In a mixed strategy equilibrium, think about how probabilities should be assigned if there exists a strategy which a player never chooses