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When each one of the first player A and the second player B has exactly two strategies, we have a 2 x 2 game.

Motivating point

Examine whether the following 2 x
2 game has a saddle point

First consider the minimum of each row.

Next consider the maximum of each column.

We see that max {row minima} and min {column maxima} are not equal.
Hence the game has no saddle point.

Tags : Operations Management - Game Theory, Goal Programming & Queuing Theory

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