Majority relation and median representative ordering

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Date

2012

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info:eu-repo/semantics/altIdentifier/doi/10.1007/s13209-011-0052-9

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info:eu-repo/semantics/OpenAccess




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Gabrielle Demange, « Majority relation and median representative ordering », HAL SHS (Sciences de l’Homme et de la Société), ID : 10.1007/s13209-011-0052-9


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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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