The principle of dominance in Game Theory (also known as dominant strategy or dominance method) states that if one strategy of a player dominates over the other strategy in all conditions then the later strategy can be ignored.
A strategy dominates over the other only if it is preferable over other in all conditions. The concept of dominance is especially useful for the evaluation of two-person zero-sum games where a saddle point does not exist.
Use the principle of dominance to solve this problem.
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There is no saddle point in this game.
If a column is greater than another column (compare corresponding elements),
then delete that column.
Here, I and II column are greater than the IV column. So, player B has no incentive in using his I and II course of action.
Now you can use any one of the following to determine the value of game
(Try it yourself)