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Identifier to cite or link to this item: https://hdl.handle.net/10086/14537

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Title
Consistent Rationalizability
Creator
Creator Name
Bossert, Walter Bossert, Walter
Affiliation
Affiliation Name
Universit? de Montr?al
Creator Name
Sprumont, Yves Sprumont, Yves
Affiliation
Affiliation Name
Universit? de Montr?al
Creator Name
Suzumura, Kotaro Suzumura, Kotaro
鈴村, 興太郎 鈴村, 興太郎
Affiliation
Affiliation Name
Hitotsubashi University
Editor
Contributor Name
世代間問題研究プロジェクト（世代間利害調整） = Setting Options for Fair Distribution of Well-being among Different Generations, Project on Intergenerational Equity
Key Word
Rational Choice
Consistency
Binary Domains
JEL
D11
Abstract
Consistency of a binary relation requires any preference cycle to involve indifference only. As shown by Suzumura (1976b), consistency is necessary and sufficient for the existence of an ordering extension of a relation. Because of this important role of consistency, it is of interest to examine the rationalizability of choice functions by means of consistent relations. We describe the logical relationships between the different notions of rationalizability obtained if reflexivity or completeness are added to consistency, both for greatest-element rationalizability and for maximal-element rationalizability. All but one notion of consistent rationalizability are characterized for general domains, and all of them are characterized for domains that contain all two-element subsets of the universal set.
Description
June 2002
Financial support through grants from the Social Sciences and Humanities Research Council of Canada, the Fonds pour la Formation de Chercheurs et l'Aide ? la Recherche of Qu?bec, and a Grant-in-Aid for Scientific Research for Priority Areas (B) Number 603 from the Ministry of Education, Science and Culture of Japan is gratefully acknowledged.
Publisher
Institute of Economic Research, Hitotsubashi University
Issued Date
2002-04
Language
English(eng)
Resource Type
technical report
Version Type
VoR
Is Part OfRelation -
Related Title
Discussion Paper ; No. 82
Relation
Related Identifier
URI
  http://www.ier.hit-u.ac.jp/pie/stage1/Japanese/top.html
NCID
AA11851730
Number of Pages
17
Sponsorship
科学研究費補助金（特定領域研究） = Grant-in-Aid for Scientific Research on Priority Areas
Appears in Collections
Discussion paper / Setting Options for Fair Distribution of Well-being among Different Generations, PIE
URL
https://hdl.handle.net/10086/14537