Thus when a game with multiple Nash equilibrium in normal form (simultaneous game) is played sequentially, we have unique Nash equilibrium. This Nash equilibrium changes depending on who is the leader.
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16 Sequential Games: United Vs. American However, if both the players have dominant strategies in simultaneous game, then playing the game sequentially would not change the Nash equilibrium irrespective of who is the leader. Consider a Prisoner’s Dilemma game. If this game is played sequentially, the Nash equilibrium does not change irrespective of who moves first.