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Consider the following two-person zero-sum game. Assume the two players have the same three strategy options.

Player B
Player A Strategy b1 Strategy b2 Strategy b3
Strategy a1 1 3  -6
Strategy a2 2 -1 2
Strategy a3 2 7  -5

1. Is there an optimal pure strategy for this game?
2. If so, what is it?
3. Identify and eliminate dominated strategies and reduce the game to a 2x2 game.

Solution Preview

Consider the following two-person zero-sum game. Assume the two players have the same three strategy options.
Player B
Player A Strategy b1 Strategy b2 Strategy b3
Strategy a1 1 3 -6
Strategy a2 2 -1 2
Strategy a3 2 7 -5
1. Is there an optimal pure strategy for this game?
2. If so, what is it?
3. Identify and eliminate dominated strategies and reduce the game to a 2x2 game.

A zero sum game is a game that when the wins and losses are add up in a game, the sum is zero for each set of strategies chosen. The zero sum game is a game in which one player's winning equal the other player's losses. The definition requires a zero sum for every set of strategies. If there is even one strategy set for which the sum differs from zero, then the game is not zero sum.

For the two person zero sum games, the solution to the game is the maximum criterion. Each player ...

Solution Summary

A zero sum game is a game that when the wins and losses are add up in a game, the sum is zero for each set of strategies chosen. The zero sum game is a game in which one player's winning equal the other player's losses. The definition requires a zero sum for every set of strategies. If there is even one strategy set for which the sum differs from zero, then the game is not zero sum.

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