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## Solving Two-Person and Zero-Sum Game

Solving Two-Person and Zero-Sum Game

Two-person zero-sum games can be probabilistic or deterministic. The deterministic games will owe saddle points and pure strategies lies in such games. On the contrary, the probabilistic games will not have any saddle points and mixed strategies are taken with the aid of probabilities.

Definition of saddle point

A saddle point of a matrix is the position of an element in payoff matrix, which is least in its row and the maximum in its column.

Process to determine the saddle point

Solution of games with saddle point

To get a solution of a game with a saddle point, it is possible to determine

The optimum strategies for player A and B will be those which match up to the row and column respectively with the saddle point.