Maximal domains of preferences preserving strategy-proofness for generalized median voter schemes

Abstract

We thank Dolors Berga, Arunava Sen, and an anonymous referee for helpful comments. Financial support through a grant from the Programa de Cooperación Científica Iberoamericana is acknowledged. The work of S. Barberà and J. Massó is also partially supported by Research Grants PB96-1192 from the Dirección General de Investigación Científica y Técnica, Spanish Ministry of Education, and SGR96-75 from the Comissionat per Universitats i Recerca de la Generalitat de Catalunya.We characterize the maximal sets of preferences under which generalized median voter schemes are strategy-proof. Those domains are defined by a qualified version of single-peakedness, which depends on the distribution of power among agents implied by each generalized median voter scheme