Majority-consistent preference orderings

John Craven
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John Craven: University of Kent at Canterbury, Canterbury, Kent CT2 7NZ, England

Social Choice and Welfare, 1996, vol. 13, issue 3, 259-267

Abstract: This paper considers the construction of sets of preferences that give consistent outcomes under majority voting. Fishburn [7] shows that by combining the concepts of single-peaked and single-troughed preferences (which are themselves examples of value restriction) it is possible to provide a simple description of the extent of agreement between individuals that allows the construction of sets that are as large as those previously known (for fewer than 7 alternatives) and larger than those previously known (for 7 or more alternatives). This paper gives a characterisation of the preferences generated through these agreements and makes observations on the relation between the sizes of such sets as the number of alternatives increases.

Date: 1996
Note: Received: 20 September 1994/Accepted: 6 March 1995
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