In a Nash game, each player will have a dominant strategy.

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In a Nash game, it is possible for each player to not have a dominant strategy, meaning there is no single best option for that player regardless of the other player's choice. Instead, players must consider their opponent's strategies and select their own based on the potential outcomes. It is not always guaranteed that each player will have a dominant strategy in a Nash game. Some games, such as the Prisoner's Dilemma, do not have a dominant strategy for either player.

In a Nash Game, Each Player Will Have a Dominant