Consider the following game written in matrix form: Complete the tables listed b

Question

Consider the following game written in matrix form: Complete the tables listed below. The tables indicate each player's best response to the pure strategy played by the player's opponent, which is listed in the left-hand column. For example, in the first cell of the first table below, indicate Player 1's best response to a pure strategy of X played by Player 2. Is Z strictly dominated by a mixed strategy of X and Y? Justify your answer (that is, show explicitly that it can or cannot be dominated by a mixed strategy of X and Y). Is the set {B, C} Times {X, Y) weakly congruous? Justify your answer (again, by showing that it is or is not weakly congruent). Is the set {A, B} Times (Y, Z) weakly congruous? Justify your answer (again, by showing that it is or is not weakly congruent).

Explanation / Answer

6A) A player's best response is that response that will give her the maximum payoff for a given strategy played by her opponent. The best responses are given in the below table.

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Player 2 Player 1's best response X C Y A Z B

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