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(10pts) For the following game, use Theorem 1 to verify if the following two mixed strategy profiles are Nash equilibrium or not. payoffs L C.
- (10pts) For the following game, use Theorem 1 to verify if the following two mixed strategy profiles are Nash equilibrium or not.
payoffs
L C. R
T 3, 2. 0, 1. 1,0
B 1,0. 2,1. 2,2
(a) (5pts) Player 1's mixed strategy is1= (1/2,1/2), which means1/2T+1/2B; Player 2's mixed strategy is2= (1/3,0,2/3), which is1/3L+2/3R.
(b) (5pts) Player 1's mixed strategy1= (1/2,1/2), player 2's mixed strategy2= (1/3,1/3,1/3)
Note: In player 1's mixed strategies, the probabilities are for actionsTandBrespectively. In
player 2's mixed strategies, the probabilities are forL,C, andRrespectively.
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