Product filters, acyclicity and Suzumura consistency

Walter Bossert and Kotaro Suzumura

Mathematical Social Sciences, 2012, vol. 64, issue 3, 258-262

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 the assumption that the social relation is reflexive and complete. This leads to a new set-theoretic concept applied to product spaces.

Date: 2012
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Related works:
Working Paper: Product Filters, Acyclicity and Suzumura Consistency (2010)
Working Paper: Product Filters, Acyclicity and Suzumura Consistency (2010)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matsoc:v:64:y:2012:i:3:p:258-262

DOI: 10.1016/j.mathsocsci.2012.04.003

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