Page 193 - DCOM303_DMGT504_OPERATION_RESEARCH

Operations Research

Notes Solution: Find the smallest element in rows and largest elements in columns as shown in Table
below.

n Minimax Procedure

Select the largest element in row and smallest element in column. Check for the minimax
criterion,
Max Min = Min Max
1 = 1
Therefore, there is a saddle point and it is a pure strategy.
Optimum Strategy:

Player A  A Strategy
2
Player B  B Strategy
1
The value of the game is 1.

Did u know?
1. The value of the game, in general satisfies the equation, maximin value<=V<=
minimax value.
2. A Game is said to be fair game if the lower (maximin) and upper(minimax) values
of the game are equal and both equal zero.
3. A game is said to be strictly determinable if the lower (maximin) and upper
(minimax) values of the game are equal and both equals the value of the game.

Task Check whether the following game is given in below Table , determinable and
fair.

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