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The relationship between Arrow’s and Wilson’s theorems on restricted domains

Kruger, Justin; Sanver, Remzi (2021), The relationship between Arrow’s and Wilson’s theorems on restricted domains, Mathematical Social Sciences, 114, p. 95-97. 10.1016/j.mathsocsci.2021.08.002

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Type
Article accepté pour publication ou publié
Date
2021
Journal name
Mathematical Social Sciences
Volume
114
Publisher
Elsevier
Pages
95-97
Publication identifier
Metadata
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Author(s)
Kruger, Justin
Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Sanver, Remzi
Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Abstract (EN)
We consider Arrow’s and Wilson’s theorems as conditions on domains, as well as a third condition due to Malawski and Zhou (1994). We describe when domains satisfying each combination of these conditions exist.
Subjects / Keywords
Social welfare function; Restricted domains; Arrow’s impossibility; Wilson’s impossibility