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 preferences allow for a clear distinction between restrictions on the set of preferences characteristics and those on the set of alternatives.
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G. Demange thanks the editor Matt Jackson and a referee for their remarks.
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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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Demange, G. Majority relation and median representative ordering. SERIEs 3, 95–109 (2012). https://doi.org/10.1007/s13209-011-0052-9
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DOI: https://doi.org/10.1007/s13209-011-0052-9