Decisive coalitions and coherence properties

Walter Bossert () and Suzumura Kotaro

No 427, PIE/CIS Discussion Paper from Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University

Abstract: 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.

Keywords: Infinite-Population Social Choice; Decisiveness; Suzumura Consistency (search for similar items in EconPapers)
JEL-codes: D71 (search for similar items in EconPapers)
Date: Written
Note: This version: March 12, 2009

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Persistent link: http://EconPapers.repec.org/RePEc:hit:piecis:427

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