The Arrow paradox with fuzzy preferences
AbstractThis note considers a new factorization of a fuzzy weak binary preference relation into its asymmetric and symmetric parts. Arrow's General Possibility Theorem is then examined within the resulting framework of vague individual and social preferences. The outcome of this exercise is compared with some earlier results available in the literature on the Arrow paradox with fuzzy preferences.
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Bibliographic InfoArticle provided by Elsevier in its journal Mathematical Social Sciences.
Volume (Year): 58 (2009)
Issue (Month): 2 (September)
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Web page: http://www.elsevier.com/locate/inca/505565
Fuzzy weak binary preference relation Fuzzy strict binary preference relation Fuzzy indifference relation Fuzzy aggregation rule Dictatorship Oligarchy;
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- Gregory Richardson, 1998. "The structure of fuzzy preferences: Social choice implications," Social Choice and Welfare, Springer, vol. 15(3), pages 359-369.
- Richard Barrett & Maurice Salles, 2006. "Social Choice With Fuzzy Preferences," Economics Working Paper Archive (University of Rennes 1 & University of Caen) 200615, Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS.
- Dutta, Bhaskan, 1987. "Fuzzy preferences and social choice," Mathematical Social Sciences, Elsevier, vol. 13(3), pages 215-229, June.
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