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Arguments for a Better World: Essays in Honor of Amartya SenVolume I: Ethics, Welfare, and Measurement$
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Arguments for a Better World: Essays in Honor of Amartya Sen: Volume I: Ethics, Welfare, and Measurement

Kaushik Basu and Ravi Kanbur

Print publication date: 2008

Print ISBN-13: 9780199239115

Published to Oxford Scholarship Online: May 2009

DOI: 10.1093/acprof:oso/9780199239115.001.0001

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Rational Choice on General Domains *

Rational Choice on General Domains *

Chapter:
(p.103) Chapter 7 Rational Choice on General Domains*
Source:
Arguments for a Better World: Essays in Honor of Amartya Sen
Author(s):

Walter Bossert (Contributor Webpage)

Kotaro Suzumura

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199239115.003.0008

The rationalizability of a choice function on general domains by means of an ordering has been analyzed thoroughly by Richter (1966; 1971), Hansson (1968), and Suzumura (1977). Moreover, characterizations of various versions of consistent rationalizability have appeared in Bossert, Sprumont, and Suzumura (2005a). However, not much seems to be known when the coherence property of quasi-transitivity or that of P-acyclicity is imposed on a rationalization. This chapter develops a unified approach in order to characterize all forms of rationalizability on general domains.

Keywords:   rational choice, quasi-transitivity, P-acyclicity, consistency, choherence property

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