Product Filters, Acyclicity and Suzumura Consistency

Walter Bossert and Kotaro Suzumura

Cahiers de recherche from Centre interuniversitaire de recherche en économie quantitative, CIREQ

Abstract: In a seminal contribution, Hansson (1976) demonstrates that the collection of decisive coalitions associated with an Arrovian social welfare function forms an ultrafilter. 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 notion of decisiveness with acyclical or Suzumura consistent social preferences and without assuming that the social relation is complete. This leads to a new set-theoretic concept applied to product spaces.

Keywords: product filters; decisiveness; acyclicity; Suzumura consistency (search for similar items in EconPapers)
JEL-codes: C02 D71 (search for similar items in EconPapers)
Pages: 22 pages
Date: 2010
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Related works:
Journal Article: Product filters, acyclicity and Suzumura consistency (2012)
Working Paper: Product Filters, Acyclicity and Suzumura Consistency (2010)
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Persistent link: https://EconPapers.repec.org/RePEc:mtl:montec:20-2010

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