Consistency of a binary relation requires any preference cycle to involve indifference only. It has been shown that consistency is necessary and sufficient for the existence of an ordering extension of a binary relation. It is therefore 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. All but one such notion are characterized for general domains, and all are characterized for domains that contain all two-element subsets of the universal set. Copyright (c) The London School of Economics and Political Science 2005.
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Article provided by London School of Economics and Political Science in its journal Economica.
Volume (Year): 72 (2005) Issue (Month): 286 (05) Pages: 185-200 Download reference. The following formats are available: HTML
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Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro, 2002.
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BOSSERT, Walter & SPRUMONT, Yves & SUZUMURA, Kotaro, 2002.
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Asheim, Geir B. & Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro, 2008.
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PIE/CIS Discussion Paper
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Bossert, W. & Sprumont, Y. & Suzumura, K., 2002.
"Maximal-Element Rationalizability,"
Cahiers de recherche
16-2002, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
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Other versions:
Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro, 2002.
"Maximal-Element Rationalizability,"
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