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Permalink: http://hdl.handle.net/1866/2741

Decisive Coalitions and Coherence Properties

Article [Version of Record]
Thumbnail
2009-04.pdf (189.3Kb)
Is part of
Cahier de recherche ; #2009-04
Publisher(s)
Université de Montréal. Département de sciences économiques.
2009-03
Author(s)
Bossert, Walter
Suzumura, Kotaro
Keywords
  • Infinite-Population Social
  • Choice
  • Suzumura Consistency
  • Decisiveness
  • D71
Abstract(s)
In a seminal contribution, Hansson has demonstrated that the family of decisive coalitions associated with an Arrovian social welfare function forms an ultrafilter. If the population under consideration is infinite, his result implies the existence of nondictatorial social welfare functions. He goes on to show that if transitivity is weakened to quasi-transitivity as the coherence property imposed on a social relation, the set of decisive coalitions is a filter. We examine the structure of decisive coalitions and analogous concepts with alternative coherence properties, namely, acyclicity and Suzumura consistency, and without assuming that the social relation is complete.
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  • FAS - Dép. Sc. économiques - Cahiers de recherche [521]

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