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Invoking a cartesian product structure on social states: new resolutions of Sen's and Gibbard's impossibility theorems
Igersheim, Herrade
Universitat Autònoma de Barcelona. Unitat de Fonaments de l'Anàlisi Econòmica; Institut d'Anàlisi Econòmica
The purpose of this article is to introduce a Cartesian product structure into the social choice theoretical framework and to examine if new possibility results to Gibbard's and Sen's paradoxes can be developed thanks to it. We believe that a Cartesian product structure is a pertinent way to describe individual rights in the social choice theory since it discriminates the personal features comprised in each social state. First we define some conceptual and formal tools related to the Cartesian product structure. We then apply these notions to Gibbard's paradox and to Sen's impossibility of a Paretian liberal. Finally we compare the advantages of our approach to other solutions proposed in the literature for both impossibility theorems.
Càcul de variacions
Elecció social
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Working Paper
Working papers; 659.06

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