We offer a selected survey of the uses of game theory in the analysis of law.

A cornerstone of game theory is backward induction, whereby players reason backward from the end of a game in extensive form to the beginning in order to determine what choices are rational at each stage of play. Truels, or three-person duels, are used to illustrate how the outcome can depend on...

This paper studies a population of agents, each of whom can be either an Altruist or an Egoist. Altruists confer benefits on others at a cost to themselves. Altruism is thus a strictly dominated strategy and cannot survive if agents are rational best-responders. We assume that agents choose...

We show that a strategy profile of a normal form game is proper if and only if it is quasi-perfect in every extensive form (with that normal form). Thus, properness requires optimality along a sequence of supporting trembles, while sequentiality only requires optimality in the limit.

This paper introduces E-capacities as a representation of beliefs which incorporates objective information about the probability of events. It can be shown that the Choquet integral of an E-capacity is the Ellsberg representation. The paper further explores properties of this representation of...

A hostage with respect to an action of a player is defined here to be an amount ofpayoff that will be placed in the opponent's possession if the player takes the action. Whereas the only Nash equilibrium for a prisoner's dilemma game is mutual defection, it is shown that there are at most two...

In perfectly competitive economies under uncertainty, there is a well-known equivalence between a formulation with contingent goods and a formulation with state-specific securities followed by spot markets for goods. In this paper, I examine whether this equivalence carries over in a particular...

We study endogenous coalition formation in contexts where individual (and group) payoffs depend on the entire coalition structure that might form. We capture potential interaction across coalitions by means of a partition function.