Question

Two players A and B are involved in a game. Each player has three different strategies. The pay-off table is given below

B

[ 5 -7 -17

A 4 6 -15 (in matrix)

9 10 -13]

Find the saddle point and value of the game.

Answer 1

Saddle point is the presence of a payoff matrix element which is both a minimum of its row (-13,-15,-17) and a maximum of its column(9,10,-13). The matrix has a saddle point in the cell 3,3 , therefore,value of the game is equal to -13.