A game with only two players, say player A and player B, is called a two-person zero sum game if the gain of the player A is equal to the loss of the player B, so that the total sum is zero.
Definition
of two-person zero sum game
A game with only two players, say
player A and player B, is called a two-person zero sum game if the gain of the
player A is equal to the loss of the player B, so that the total sum is zero.
Payoff matrix
When players select their
particular strategies, the payoffs (gains or losses) can be represented in the
form of a payoff matrix.
Since the game is zero sum, the
gain of one player is equal to the loss of other and vice-versa. Suppose A has
m strategies and B has n strategies. Consider the following payoff matrix.

Player A wishes to gain as large
a payoff aij as possible while player B will do his best to reach as small a value aij as possible where the gain to player B and loss to player A be (- aij ).
Tags : Operations Management - Game Theory, Goal Programming & Queuing Theory
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