Question

A game is a strategic interaction between two players. Each player has their own sets of actions called the strategies. Each strategy comes with a definite outcome, these outcomes are tied to some profit or loss called the payoff. One of the favorite examples of game theory is the Prisoners' dilemma.

In this game, two partners of crime are caught by police and held in different cells being interrogated separately. Both have two options, either to confess or be silent. The payoff they receive is in terms of years in jail. For example, if they both confess they get 12 years in jail and thus the payoff is -12 for each for strategy (confess, confess).

The game table is completed as below

Does either player have a dominant strategy? If so, what?

Answer 1

Dominant strategy is when a player chooses an action whatever other player�s action is So we can see P_1 will always choose to confess whatever P_2 chooses because both times he get more payoff. same for P_2, he will choose to confess whatever P_1 chooses. Both have dominant strategy and that is to confess.