For a society that consists of at least three individuals, we show that a social choice rule is Maskin monotonic if and only if it is Nash implementable by means of a mechanism that is stochastic or a mechanism that contains (arbitrary) awards. In equilibrium, the mechanisms do not have any...

In many, if not most, elections, several different seats must be filled, so that a group of candidates, or an assembly, is selected. Typically in these elections, voters cast their ballots on a seat-by-seat basis. We show that these seat-by-seat procedures are efficient only under extreme...

We offer a selective survey of the uses of cooperative and non-cooperative game theory in the analysis of legal rules and institutions. In so doing, we illustrate some of the ways in which law influences behavior, analyze the mechanism design aspect of legal rules and institutions, and examine...

This paper begins by observing that any reflexive binary (preference) relation (over risky prospects) that satisfies the independence axiom admits a form of expected utility representation. We refer to this representation notion as the coalitional minmax expected utility...

We introduce a procedural model of risky choice in which an individual is endowed with a core preference relation that may be highly incomplete. She can, however, derive further rankings of alternatives from her core preferences by means of a procedure based on the independence axiom. We find...