Question 2: Consider the zero-sum game known as the "matching-pennies" game. Here and elsewhere we refer to the row player as player 1 and the column player as player 2. 2 L R T 1,-1-1,1 1 B -1,1 1,-1 Table 1: Matching-pennies This game has no equilibrium in pure strategies. It has a unique equilibrium in mixed strategies, where each player randomizes with equal probability yielding the equilibrium payoffs (0, 0). Can you design a correlated equilibrium to improve both players' payoffs?
Question 2: Consider the zero-sum game known as the "matching-pennies" game. Here and elsewhere we refer to the row player as player 1 and the column player as player 2. 2 L R T 1,-1-1,1 1 B -1,1 1,-1 Table 1: Matching-pennies This game has no equilibrium in pure strategies. It has a unique equilibrium in mixed strategies, where each player randomizes with equal probability yielding the equilibrium payoffs (0, 0). Can you design a correlated equilibrium to improve both players' payoffs?
Chapter8: Game Theory
Section: Chapter Questions
Problem 8.7P
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Transcribed Image Text:Question 2: Consider the zero-sum game known as the "matching-pennies" game. Here
and elsewhere we refer to the row player as player 1 and the column player as player 2.
2
L
R
T
1,-1-1,1
1
B
-1,1 1,-1
Table 1: Matching-pennies
This game has no equilibrium in pure strategies. It has a unique equilibrium in mixed
strategies, where each player randomizes with equal probability yielding the equilibrium
payoffs (0, 0). Can you design a correlated equilibrium to improve both players' payoffs?
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