SINGLE PEAKED FUZZY PREFERENCES IN ONE-DIMENSIONAL MODELS: DOES BLACK'S MEDIAN VOTER THEOREM HOLD?

John N. Mordeson (), Lance Nielsen () and Terry D. Clark ()
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John N. Mordeson: Department of Mathematics, Creighton University, Omaha, Nebraska 68178, USA
Lance Nielsen: Department of Mathematics, Creighton University, Omaha, Nebraska 68178, USA
Terry D. Clark: Department of Political Science, Creighton University, Omaha, Nebraska 68178, USA

New Mathematics and Natural Computation (NMNC), 2010, vol. 06, issue 01, 1-16

Abstract: Black's Median Voter Theorem is among the more useful mathematical tools available to political scientists for predicting choices of political actors based on their preferences over a finite set of alternatives within an institutional or constitutional setting. If the alternatives can be placed on a single-dimensional continuum such that the preferences of all players descend monotonically from their ideal point, then the outcome will be the alternative at the median position. We demonstrate that the Median Voter Theorem holds for fuzzy preferences. Our approach considers the degree to which players prefer options in binary relations.

Keywords: Fuzzy preference aggregation rule; fuzzy simple rule; fuzzy voting rule; single peaked fuzzy profile; fuzzy maximal subset; fuzzy core (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S1793005710001566

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