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Operations Management - Game Theory, Goal Programming & Queuing Theory

2 x 2 zero-sum game - Games With No Saddle Point

   Posted On :  24.06.2018 10:26 pm

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
 
First let us consider an illustrative example
 
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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