Question

Find the solution of the game by the principle of dominance for the following payoffs matrix of A.

Answer 1

By principle of dominance, A₄ dominates A₃, and A₁. 

So, delete A₁, A₃.

B₂ dominates B₁ and B₃. 

So, delete B₁, B₃

A₄ dominates A₂, delete A₂,

B₂, dominates B₄ delete B₄.

Saddle Point occurs ar (4, 2). 

∴ Suggested pure strategies for player A and B are (A₄, B₂) 

value of the game V = 2.