In game theory, the best response correspondence for mixed strategies is a function that maps each player’s strategy set to the set of their best responses to the other players’ mixed strategies. In other words, it tells each player what their best strategy is, given the strategies of the other players.
The best response correspondence is important because it can be used to find Nash equilibria in games. A Nash equilibrium is a set of strategies, one for each player, such that no player can improve their payoff by unilaterally changing their strategy. In other words, a Nash equilibrium is a set of strategies that are mutually best responses.
