An equilibrium in a sequential game is always a Nash equilibrium in a simultaneous game with equivalent payoffs.

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In a sequential game, players make decisions one after another, allowing later players to react to the earlier players' actions, which can lead to different strategies and outcomes compared to a simultaneous game where all players make decisions without knowledge of the others' choices. Nash equilibrium assumes simultaneous decision-making, so an equilibrium in a sequential game is not always a Nash equilibrium in a simultaneous game.

An Equilibrium in a Sequential Game Is Always a Nash