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Player 2 9 1-9 Question 4: (15pt total] Consider the following game: X Y Player 1...

Question:

Player 2 9 1-9 Question 4: (15pt total] Consider the following game: X Y Player 1 P A 1,3 2,4 1-PB 0,2 8,0 Suppose Player 1 p

Player 2 9 1-9 Question 4: (15pt total] Consider the following game: X Y Player 1 P A 1,3 2,4 1-PB 0,2 8,0 Suppose Player 1 plays A with probability p, and Player 2 plays X with probability q. Let E (-) and E2(-) be the expected payoff functions. 4)a) [8pt total] Calculate the following: 4)a)i) (2pt] E(A) = 4)a)ii) [2pt] E (B) = 4)a)iii) [2pt] E(X) = 4)a)iv) [2pt] E2(Y) = 4)b) (3pt] Indifference strategy for Player 1: Answer: 4)c) (3pt) Indifference strategy for Player 2: Answer: 4)d) (1pt] Mixed Nash Equilibrium:

Answers

2 1-q 1 4 P A (2,4) B 0,2) (8,0) I-P 1 1 player plays a with probability p, and player 2 plays x with probability a i) E, CA)mi) Ex) 3. P+ 2 C1-p) = 3p+2-2p Prz iv) E₂(4) = 4P+ 0.1 - 4p. 9 ) b ) Indifterence strategy for player is E,CA) = ECB) 2-9 =4) Inditterence strategy for player 2 Ez(x) = 624) pt2 = 40 3p=2 P=2² di Mixed Hash equilibrium is, 649,243) (2/3,64) ) Thus

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