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Logic & Puzzles

What happens to the row player's payoff when mixed strategies converge to a Nash equilibrium within a two-player game represented by a payoff matrix?

A)Payoff decreases without bound.
B)Payoff reaches stable expected value.
C)Payoff fluctuates erratically.
D)Payoff approaches zero deterministically.

💡 Explanation

The row player's payoff reaches a stable expected value because the Nash equilibrium is characterized by both players choosing strategies that maximize their expected payoff given the other's strategy; therefore, no player has an incentive to deviate unilaterally, rather than continuing to optimize their own payoff.

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