Find the best response strategy for each player given the opponent’s (possibly mixed) strategy. A best response maximizes a player’s expected payoff given the opponent’s strategy. Returns optimal strategies for both players. Essential for Nash equilibrium analysis, as mutual best responses characterize Nash equilibria.
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Payoff matrix for Player 1
[[3, 0], [5, 1]]Payoff matrix for Player 2
[[3, 5], [0, 1]]Player 1's current mixed strategy
0 <= x <= 1[0.5, 0.5]Player 2's current mixed strategy
0 <= x <= 1[0.5, 0.5]