In a two-player game represented by a payoff matrix, which condition ensures the existence of a Nash equilibrium in pure strategies?

💡 Explanation

A saddle point, which represents a situation where both players are making their best response given the other player's action, guarantees a Nash equilibrium in pure strategies because neither player can improve their payoff by unilaterally changing their strategy. Therefore, the saddle point ensures stability, rather than requiring randomization or matrix positivity.

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