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Fuzzy Arrovian Theorems when preferences are complete

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  • Armajac Ravent'os-Pujol

Abstract

In this paper we study the aggregation of fuzzy preferences on non-necessarily finite societies. We characterize in terms of possibility and impossibility a family of models of complete preferences in which the transitivity is defined for any t-norm. For that purpose, we have described each model by means of some crisp binary relations and we have applied the results obtained by Kirman and Sondermann.

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  • Armajac Ravent'os-Pujol, 2021. "Fuzzy Arrovian Theorems when preferences are complete," Papers 2111.03010, arXiv.org.
    • Handle: RePEc:arx:papers:2111.03010
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    1. Satterthwaite, Mark Allen, 1975. "Strategy-proofness and Arrow's conditions: Existence and correspondence theorems for voting procedures and social welfare functions," Journal of Economic Theory, Elsevier, vol. 10(2), pages 187-217, April.
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