%0 Journal Article %T Majority relation and median representative ordering %A Gabrielle Demange %J SERIEs %@ 1869-4195 %D 2012 %I %R 10.1007/s13209-011-0052-9 %X 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. %K Majority rule %K Median graph %K Tree %K Condorcet winner %K Intermediate preferences %K D720 %K D710 %U http://link.springer.com/article/10.1007/s13209-011-0052-9