Operations Management - Game Theory, Goal Programming & Queuing Theory
2 x 2 zero-sum game - Games With No Saddle Point
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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.
2 x 2 zero-sum game
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
Solution
First consider the minimum of each row.
Next consider the maximum of each column.
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
First let us consider an illustrative example
Problem 1
Problem 1
Examine whether the following 2 x
2 game has a saddle point
Solution
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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