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Mixed Nash Equilibria (a) Find a pure action equilibrium of the following game, and a mixed action where player 1 mixes between T and B and player 2 between L and C. Pl.2 L C R T 0, 2 3, 1 2, 1 Pl.1 M 2, 1 1,4 1,2 B 1, -1 2,0 3,3 ( b ) Find all (pure and mixed) Equilibria of the following game. (HINT: first, perform IDSDA) P1.2 b1 b2 b3 b4 b5 2 0, 1 0, 2 3, 2 1 a2 4, 3 - 1, 2 2, 1 2 , - 1 2,2 Pl.1 a3 3, 4 2, 1 1, 3 4,0 6, 2 1, 1 -3,0 3,2 3, 1 1,0 a5 0 0, 2 4,0 0,0 0, 3 (c) Find a mixed equilibrium of the following game in which player 3 chooses action X. Find one where he chooses action Y. You will have to check that those actions are optimal against the mixed actions of player 1 and 2. Blue Blue R L R Red T 3, 0,3 0, 1,2 Red ' 0, 2, 1 3, 0, 1 B 1, 4, 1 2,2, 1 "B 2,0, 2 1, 1,3 Purple: X Purple: Y Figure 1: A three player strategic game, in which Purple chooses X or Y