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← Logic & PuzzlesWhat 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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