Consider a matrix game with 3 players, 1, 2 and 3, with players receiving the pay offs are represented in the following matrices Note that the middle payoff represents payoff of player 3 and the left bottom payoff belongs to player 1 and the top right payoff belongs to player 2 Solve for the Pure Strategy Nash Equilibria of this game (10 marks) Solve for the Mixed Strategy Nash Equilibrium of this game Is this unique (15 marks) 2 3(C) 1 C 5 1 3 10 6 N NI 1 01 2 5 C N 2 3(N) 1 C 3 5 0 2 8 6 N 3 4 3 6 9 7 2 3(C) 1 C 5 1 3 10 6 N NI 1 01 2 5 C N 2 3(N) 1 C 3 5 0 2 8 6 N 3 4 3 6 9 7

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Question: Consider a matrix game with 3 players, 1, 2 and 3, with players receiving the pay offs are represented in the following matrices. Note that

Consider a matrix game with 3 players, 1, 2 and 3, with players receiving the pay offs are represented in the following matrices. Note that the middle payoff represents payoff of player 3 and the left-bottom payoff belongs to player 1 and the top-right payoff belongs to player 2.

Consider a matrix game with 3 players, 1, 2 and 3, with

players receiving the pay offs are represented in the following matrices. Note

Solve for the Pure Strategy Nash Equilibria of this game. (10 marks) Solve for the Mixed Strategy Nash Equilibrium of this game. Is this unique? (15 marks)

2 3(C) 1 C 5 1 3 10 6 N NI 1 01 2 5 C N 2 3(N) 1 C 3 5 0 2 8 6 N 3 4 3 6 9 7 2 3(C) 1 C 5 1 3 10 6 N NI 1 01 2 5 C N 2 3(N) 1 C 3 5 0 2 8 6 N 3 4 3 6 9 7

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