Find a mixed strategy of player i

Reference no: EM131330359

Consider the following two-player zero-sum game.

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(a) Find a mixed strategy of Player I that guarantees him the same payoff against any pure strategy of Player II.

(b) Find a mixed strategy of Player II that guarantees him the same payoff against any pure strategy of Player I.

(d) Generalize this result: Suppose a two-player zero-sum game is represented by an n × m matrix.4 Suppose each player has an equalizing strategy, meaning a strategy guaranteeing him the same payoff against any pure strategy his opponent may play. Prove that any equalizing strategy is an optimal strategy.

(e) Give an example of a two-player zero-sum game in which one of the players has an equalizing strategy that is not optimal. Why is this not a contradiction to (d)?

Reference no: EM131330359

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