Majority relation and median representative ordering

Gabrielle Demange (1, 2)

1 PSE - Paris-Jourdan Sciences Economiques
2 PSE - Paris School of Economics

This paper presents results on the transitivity of the majority relation and the existence of a median representative ordering. Building on the notion of intermediate preferences indexed by a median graph, the analysis extends well-known results obtained when the underlying graph is a line. In contrast with other types of restrictions such as single-peakedness, intermediate pref- erences allow for a clear distinction between restrictions on the set of preferences characteristics and those on the set of alternatives.

Mots clés: Majority rule; Median graph; Tree; Condorcet winner; Intermediate preferences

Domaines: Economies et finances

Gabrielle Demange. Majority relation and median representative ordering. SERIEs, 2012, 3 (1), pp.95-109. ⟨10.1007/s13209-011-0052-9⟩. ⟨halshs-00670854⟩