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.
Download Info
To download:
If you experience problems downloading a file, check if you have the
proper application to
view it first. Information about this may be contained
in the File-Format links below. In case of further problems read
the IDEAS help
page. Note that these files are not on the IDEAS
site. Please be patient as the files may be large.
Publisher Info
Paper provided by Universite de Montreal, Departement de sciences economiques in its series Cahiers de recherche with number
2002-12.
Walter Bossert & Yves Sprumont & Kotaro Suzumura, 2005.
"Consistent Rationalizability,"
Economica,
London School of Economics and Political Science, vol. 72(286), pages 185-200, 05.
[Downloadable!] (restricted)
Paper
Bossert, W. & Sprumont, Y. & Suzumura, K., 2002.
"Consistent Rationalizability,"
Cahiers de recherche
12-2002, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
[Downloadable!]
Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro, 2002.
"Consistent Rationalizability,"
Discussion Paper
82, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
[Downloadable!]
This paper has been announced in the following NEP Reports:
Cited by: (explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)
Asheim, Geir B. & Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro, 2006.
"Infinite-horizon choice functions,"
Memorandum
17/2006, Oslo University, Department of Economics.
[Downloadable!]
Other versions:
Asheim, Geir B. & Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro, 2008.
"Infinite-horizon choice functions,"
PIE/CIS Discussion Paper
379, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
[Downloadable!]
Bossert, W. & Sprumont, Y. & Suzumura, K., 2002.
"Maximal-Element Rationalizability,"
Cahiers de recherche
16-2002, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
[Downloadable!]
Other versions:
Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro, 2002.
"Maximal-Element Rationalizability,"
Discussion Paper
124, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
[Downloadable!]