Econometrica: Mar, 1971, Volume 39, Issue 2

The Theory of Representative Majority Decision

https://doi.org/0012-9682(197103)39:2<273:TTORMD>2.0.CO;2-W
p. 273-284

Peter C. Fishburn

A general definition of majority decision in terms of a hierarchy of voting councils has been given by Murakami [3, 4]. The present article establishes a set of necessary and sufficient conditions for Murakami's majority decision or representative system in terms of properties of a group decision function for two alternatives. One corollary of the general theorem is Murakami's conjecture, which says that if a group decision function is dual, strongly monotonic, and nondictatorial, then it is a representative system.