A sequential model in game theory in which a leader commits to an action before a follower observes it and chooses a best response. The leader anticipates the follower's response when optimizing. With private follower information, the leader maximizes its expected payoff over follower types. The resulting solution is a Stackelberg equilibrium.
A solution of Stackelberg competition in which the follower chooses a best response after each observed leader action and the leader optimizes given those responses. Indifference may require a specified response or leader-selection convention; it cannot be silently treated as a strict inequality. In a sequential private-value all-pay contest, the leader's objective is .

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