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The Budget-Voting Paradox
Authors:Gilbert Laffond  Jean Lainé
Institution:(1) Laboratoire d’économétrie, Conservatoire National des Arts et Métiers, 2, rue Conté, F-75003 Paris, France;(2) Ecole Nationale de la Statistique, et de l’Analyse de l’Information, Rennes, and CREM, University of Caen, Caen, France;(3) Department of Economics, ENSAI, Campus de Ker Lann, rue Blaise Pascal, F-35170 Bruz, France
Abstract:The budget-voting paradox states that, when social alternatives are proper subsets of a finite set of decisions, choosing decision-wise according to the majority rule may select an alternative that is covered in the majority tournament among alternatives. Individual preferences are defined on single decisions, and are extended to preferences over the alternative set by means of a preference extension rule. We prove the existence of the paradox for any rank-based, monotone, and independent extension rule.
Keywords:majority rule  voting paradox  subsets  preference extension rule
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