Check whether a given strategy profile (possibly mixed) is a Nash equilibrium. A strategy profile is a Nash equilibrium if no player can improve their expected payoff by unilaterally deviating. Also returns the expected payoffs for both players. Use to verify candidate equilibria or validate algorithmic solutions.
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Payoff matrix for Player 1
[[3, 0], [5, 1]]Payoff matrix for Player 2
[[3, 5], [0, 1]]Mixed strategy for Player 1 (probability distribution over strategies, must sum to 1)
0 <= x <= 1[0, 1]Mixed strategy for Player 2 (probability distribution over strategies, must sum to 1)
0 <= x <= 1[0, 1]