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...

We study the role of communication in repeated games with private monitoring. We first show that without communication, the set of Nash equilibrium payoffs in such games is a subset of the set ofε‐coarse correlated equilibrium payoffs (ε‐CCE) of the underlying one‐shot game. The value...