Consider the following game involving three players: L R L R T 5, 5, 5 3,...

 

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Consider the following game involving three players: L R L R T 5, 5, 5 3, 6, 3 1, 4, 4 T 3, 3, 6 6, 3, 3 4, 4, 1 4, 1, 4 2, 2, 2 B X Y (a) Find the pure strategy Nash equilibrium of this game. (8 marks) (b) Does there exist any Nash equilibrium (pure or mixed) other than the one you found in part (a)? If so, what is it? Explain your answers. (7 marks) Consider the following game involving three players: L R L R T 5, 5, 5 3, 6, 3 1, 4, 4 T 3, 3, 6 6, 3, 3 4, 4, 1 4, 1, 4 2, 2, 2 B X Y (a) Find the pure strategy Nash equilibrium of this game. (8 marks) (b) Does there exist any Nash equilibrium (pure or mixed) other than the one you found in part (a)? If so, what is it? Explain your answers. (7 marks)