In this note, we obtain new Arrovian results in the setting where the preferences of individuals are fuzzy and no properties of asymmetry are required. {color{black} Dealing with a society made of possibly infinitely many individuals, we obtain the existence of a unique ultrafilter of decisive coalitions for every emph{Fuzzy Social Welfare Function} that obeys to Arrow's like axioms. Then, we deduce new impossibility and possibility results.}
A new view on Arrovian dictatorship in a fuzzy setting / Basile, Achille; Scalzo, Vincenzo. - In: FUZZY SETS AND SYSTEMS. - ISSN 0165-0114. - 349:(2018), pp. 99-106. [10.1016/j.fss.2018.02.002]
A new view on Arrovian dictatorship in a fuzzy setting
Basile, Achille;Scalzo, Vincenzo
2018
Abstract
In this note, we obtain new Arrovian results in the setting where the preferences of individuals are fuzzy and no properties of asymmetry are required. {color{black} Dealing with a society made of possibly infinitely many individuals, we obtain the existence of a unique ultrafilter of decisive coalitions for every emph{Fuzzy Social Welfare Function} that obeys to Arrow's like axioms. Then, we deduce new impossibility and possibility results.}File in questo prodotto:
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