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A social choice function is group strategy-proof on a domain if no group of agents can manipulate its …nal outcome to their own bene…t by declaring false preferences on that domain. Group strategy-proofness is a very attractive requirement of incentive compatibility. But in many cases it is hard or impossible to …nd nontrivial social choice functions… (More)

In the context of the provision of one pure public good, we study how large a preference domain can be to allow for the existence of strategy-proof rules satisfying the no vetoer condition. This question is qualified by the additional requirement that a domain shouldincludèà minimally rich domain.'' We first characterize generalized median voter schemes as… (More)

and two anonymous referees for their helpful comments and suggestions. Abstract: We consider the problem of a society whose members must choose from a …nite set of alternatives. After knowing the chosen alternative, members may reconsider their membership by either staying or exiting. In turn, and as a consequence of the exit of some of its members, other… (More)

* A previous version of this paper was entitled " Voting by Committees with Exit ". We are very grateful to the associate editor and two anonymous referees for their detailed suggestions and comments. We also thank Abstract: We study the problem of a society choosing a subset of new members from a finite set of candidates (as in Barberà, Sonnenschein, and… (More)

We define different concepts of group strategy-proofness for social choice functions. We discuss the connections between the defined concepts under different assumptions on their domains of definition. We characterize the social choice functions that satisfy each one of them and whose ranges consist of two alternatives, in terms of two types of basic… (More)

We characterize the set of all individual and group strategy-proof rules on the domain of all single-dipped preferences on a line. For rules defined on this domain, and on several of its subdomains, we explore the implications of these strategy-proof-ness requirements on the maximum size of the rules' range. We show that when all single-dipped preferences… (More)

A social choice function may or may not satisfy a desirable property depending on its domain of de…nition. For the same reason, di¤erent conditions may be equivalent for functions de…ned on some domains, while di¤erent in other cases. Understanding the role of domains is therefore a crucial issue in mechanism design. We illustrate this point by analyzing… (More)

A maximal domain for strategy-proof and no-vetoer rules in the multi-object choice model study rules (or social choice functions) through which agents select a subset from a set of objects. We investigate domains on which there exist nontrivial strategy-proof rules. We establish that the set of separable preferences is a maximal domain for the existence of… (More)