Abstract
This 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.
This chapter draws heavily and directly on a previously published paper of the author’s, the content from which is re-used here with the permission of the copyright holder: S. Subramanian (2009) The Arrow paradox with fuzzy preferences, Mathematical Social Sciences, 58:2, 265-271, DOI: https://doi.org/10.1016/j.mathsocsci.2009.05.001. I am grateful to Prasanta Pattanaik and to two anonymous referees of Mathematical Social Sciences for very helpful comments on earlier versions. The usual disclaimer applies.
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References
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Subramanian, S. (2021). The Arrow Paradox with Fuzzy Preferences. In: Social Values and Social Indicators. Themes in Economics. Springer, Singapore. https://doi.org/10.1007/978-981-16-0428-7_5
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DOI: https://doi.org/10.1007/978-981-16-0428-7_5
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