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    Nash Equilibrium

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    1. In a Nash equilibrium,

    each player has a dominant strategy.

    no players have a dominant strategy.

    at least one player has a dominant strategy

    players may or may not have dominant strategies.

    the player with the dominant strategy will win.

    2. Nash equilibria are stable because,

    they involve dominant strategies.

    they involve constant-sum games.

    they occur in non-cooperative games.

    once the strategies are chosen, no players have an incentive to negotiate jointly to change them.

    once the strategies are chosen, no player has an incentive to deviate unilaterally from them.

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