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Identifier to cite or link to this item: https://hdl.handle.net/10086/17297

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Title
Decisive coalitions and coherence properties
Creator
Creator Name
Bossert, Walter Bossert, Walter
Affiliation
Affiliation Name
University of Montréal
Creator Name
Suzumura, Kotaro Suzumura, Kotaro
鈴村, 興太郎 鈴村, 興太郎
スズムラ, コウタロウ スズムラ, コウタロウ
Affiliation
Affiliation Name
Waseda University
Editor
Contributor Name
世代間問題研究プロジェクト（世代間問題の経済分析） = Economic Analysis of Intergenerational Issues, Project on Intergenerational Equity
Contributor Name
一橋大学経済研究所世代間問題研究機構 = Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University
Key Word
Infinite-Population Social Choice
Decisiveness
Suzumura Consistency
JEL
D71
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.
Description
This version: March 12, 2009
Publisher
Institute of Economic Research, Hitotsubashi University
Issued Date
2009-03
Language
English(eng)
Resource Type
technical report
Version Type
VoR
Is Part OfRelation -
Related Title
PIE/CIS Discussion Paper ; No. 427
Relation
Related Identifier
URI
  http://cis.ier.hit-u.ac.jp/English/
Related Identifier
URI
  http://www.ier.hit-u.ac.jp/pie/stage2/Japanese/
Number of Pages
21
Sponsorship
科学研究費補助金（特別推進研究） = Grant-in-Aid for Specially Promoted Research
Appears in Collections
PIE/CIS Discussion paper
URL
https://hdl.handle.net/10086/17297