Majority relation and median representative ordering

• Gabrielle Demange ^[1]
  1. [1] Paris School of Economics

     Paris School of Economics

     París, Francia

     
• Localización: SERIEs : Journal of the Spanish Economic Association, ISSN 1869-4195, Vol. 3, Nº. 1-2, 2012 (Ejemplar dedicado a: Salvador Barberà), págs. 95-109
• Idioma: inglés
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• Resumen

  • 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.