A mixed strategy in which positive probability is placed on more than one action can be a best response to another player's strategy only if the expected payoff from playing the pure strategies (over which the individual is mixing) is the same.

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In game theory, a mixed strategy becomes a best response to another player's strategy when the expected payoffs from all the pure strategies being mixed are equal. This ensures that the player is indifferent among the options being mixed, making the mixed strategy optimal given the strategies of the other players.

A Mixed Strategy in Which Positive Probability Is Placed on More