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Definition of two-person zero sum game

   Posted On :  24.06.2018 09:47 pm

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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