In this paper, we give a sufficient condition for double implementation in Nash and M-Nash equilibria. Furthermore, we discuss the mechanism with transfers and prove that some important social choice rules are doubly implemented in Nash and M-Nash equilibria by the mechanism with transfers.

In this paper, we study the Nash implementation in an allocation problem with single-dipped preferences. We show that, with at least three agents, Maskin monotonicity is necessary and sufficient for implementation. We examine the implementability of various social choice correspondences (SCCs)...

This chapter surveys a sizable and growing literature on coalition formation. We refer to theories in which one or more groups of agents (“coalitionsâ€) deliberately get together to jointly determine within-group actions, while interacting noncooperatively across groups. The chapter...

We consider full implementation in complete-information environments when agents have an arbitrarily small preference for honesty. We offer a condition called separable punishment and show that when it holds and there are at least two agents, any social choice function can be implemented by a...

In this paper, virtual implementation is restricted to deliver, on the equilibrium path, either a socially optimal outcome or a status quo: an outcome fixed for all preference profiles. Under such a restriction, for any unanimous and implementable social choice function there is a dictator, who...

This paper axiomatizes a utility function for social preferences under risk. In the model, a single parameter captures a preference for equality of opportunity (i.e., equality of exante expected payoffs) relative to equality of outcome (i.e., equality of ex-post payoffs). In a deterministic...

Every agent reports his willingness to pay for one unit of a good. A mechanism allocates goods and cost shares to some agents. We characterize the group strategyproof (GSP) mechanisms under two alternative continuity conditions interpreted as tie-breaking rules. With the maximalist rule (MAX) an...

We study dispute resolution in the compromise model of Börgers and Postl (2009), which provides an alternative framework for analyzing the real-world procedure of tri-offer arbitration studied in Ashenfelter et al. (1992). Two parties involved in a dispute have to choose between their...

Agents with single-peaked preferences share a resource coming from different suppliers; each agent is connected to only a subset of suppliers. Examples include workload balancing, sharing earmarked funds, and rationing utilities after a storm.

A mechanism implements a social choice correspondence f in mixed Nash equilibrium if, at any preference profile, the set of all (pure and mixed) Nash equilibrium outcomes coincides with the set of f-optimal alternatives for all cardinal representations of the preference profile. Unlike Maskinʼs...