In the prisoner's dilemma game,each player's dominant strategy is also the Nash equilibrium.

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This statement is true. In the prisoner's dilemma game, both players choosing to defect (rather than cooperate) is the dominant strategy for each player. When both players defect, this is also the Nash equilibrium as neither player has an incentive to deviate from their strategy given the other player's strategy. Consequently, the dominant strategy and Nash equilibrium coincide in this game.

In the Prisoner's Dilemma Game,each Player's Dominant Strategy Is Also