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A Nash Equilibrium in mixed strategies occurs when players choose strategies such that no player can benefit by changing their strategy, given the strategies of the others.

Mixed strategies can be represented by a vector where each component is the probability of choosing a specific pure strategy, summing to 1.

In zero-sum games, a mixed strategy can help in randomizing actions so that an opponent cannot predict the next move, potentially leading to an optimal strategy.

In Rock-Paper-Scissors, playing each option with a probability of 1/3 is a mixed strategy.

The expected payoff for a player using a mixed strategy is the sum of the payoffs for each pure strategy, weighted by the probability of playing that strategy.

A mixed strategy is a strategy in game theory where a player chooses different pure strategies with certain probabilities.

In a two-player game, if player 1's probabilities are $p$ and $1-p$, and player 2's are $q$ and $1-q$, solve for $p$ and $q$ where neither player can benefit from a unilateral change.