Question

Following is the pay-*** matrix of player A.

Find the solution of the game using the principle of Dominance.

Answer 1

By Principle of dominance, 2nd strategy of player A dominates, 1st strategy.

So, delete 1.

2nd column dominates 1st column,

So delete column 1.

2nd row dominates 3rd row, delete 3rd row.

2nd column dominates 3rd column, so delete 3rd column.

Saddle point occurs at (2, 2)

∴ The suggested pure strategies for player A and B are, for player A -2, for player B- 2.

Value of the game V = 6.