4. Consider the following two player game: Player 2 I Y Player 1 a 4,1 b...

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4. Consider the following two player game: Player 2 I Y Player 1 a 4,1 b 4,3 5,2 1,2 (a) Find any pure strategy Nash equilibria. (b) Show that there is no mixed strategy Nash equilibrium where player 2 has two active strategies. (c) Assume there is a mixed strategy Nash equilibrium where Player 1 has two active strategies and player 2 has a single active strategy, x. Show that if = (p, 1 - p), then an equality condition holds for all p = (0,1). (d) Use an inequality condition to find a range of values of p such that (1, x) is a mixed strategy Nash equilibrium. (e) Is there a mixed strategy Nash equilibrium where player 1 has two active strategies and player 2 has only y as an active strategy? Explain. 4. Consider the following two player game: Player 2 I Y Player 1 a 4,1 b 4,3 5,2 1,2 (a) Find any pure strategy Nash equilibria. (b) Show that there is no mixed strategy Nash equilibrium where player 2 has two active strategies. (c) Assume there is a mixed strategy Nash equilibrium where Player 1 has two active strategies and player 2 has a single active strategy, x. Show that if = (p, 1 - p), then an equality condition holds for all p = (0,1). (d) Use an inequality condition to find a range of values of p such that (1, x) is a mixed strategy Nash equilibrium. (e) Is there a mixed strategy Nash equilibrium where player 1 has two active strategies and player 2 has only y as an active strategy? Explain.