Majority relation and median representative ordering

Gabrielle Demange

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 preferences allow for a clear distinction between restrictions on the set of preferences characteristics and those on the set of alternatives. -- majority rule ; median graph ; tree ; condorcet winner ; intermediate preferences

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Year of publication:	2012
Authors:	Demange, Gabrielle
Published in:	SERIEs : Journal of the Spanish Economic Association. - Berlin : Springer, ISSN 1869-4195, ZDB-ID 2536381-5. - Vol. 3.2012, 1/2, p. 95-109
Subject:	Abstimmungsregel \| Voting rule \| Condorcet-Paradoxon \| Paradox of voting \| Theorie \| Theory