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Majority relation and median representative ordering

Abstract : 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.
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https://halshs.archives-ouvertes.fr/halshs-00670854
Contributor : Gabrielle Demange <>
Submitted on : Friday, May 29, 2020 - 10:04:50 AM
Last modification on : Tuesday, September 22, 2020 - 3:54:50 AM

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

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