Majority rule on j-rich ballot spaces

Abstract

Fishburn (Aggregation and revelation of preferences. North Holland, Amsterdam, pp 201–218, 1979) proved that majority rule on any proper permutation closed $$j\hbox {-rich}$$ ballot space is the only social choice function satisfying faithfulness, consistency, cancellation, and neutrality. Alos-Ferrer (Soc Choice Welf 27:621–625, 2006) showed that neutrality was not needed for Fishburn’s result as long as the ballot space has no restriction on ballot sizes. In this paper, we show that the Alos-Ferrer result can be extended to a much larger class of ballot spaces.