On strategy-proofness and semilattice single-peakedness

Abstract

Altres ajuts: Universidad Nacional de San Luis, mitjançant subvenció 319502 ; Consejo Nacional de Investigaciones Científicas y Técnicas PIP 112-200801-00655

We study social choice rules defined on the domain of semilattice singlepeaked preferences. Semilattice single-peakedness has been identified as the necessary condition that a set of preferences must satisfy so that the set can be the domain of a strategy-proof, tops-only, anonymous and unanimous rule. We characterize the class of all such rules on that domain and show that they are deeply related to the supremum of the underlying semilattice structure.