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Maximal-Element Rationalizability.
- Source :
- Theory & Decision; Jun2005, Vol. 58 Issue 4, p325-350, 26p
- Publication Year :
- 2005
-
Abstract
- We examine the maximal-element rationalizability of choice functions with arbitrary domains. While rationality formulated in terms of the choice of greatest elements according to a rationalizing relation has been analyzed relatively thoroughly in the earlier literature, this is not the case for maximal-element rationalizability, except when it coincides with greatest-element rationalizability because of properties imposed on the rationalizing relation. We develop necessary and sufficient conditions for maximal-element rationalizability by itself, and for maximal-element rationalizability in conjunction with additional properties of a rationalizing relation such as reflexivity, completeness, P-acyclicity, quasi-transitivity, consistency and transitivity. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00405833
- Volume :
- 58
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Theory & Decision
- Publication Type :
- Academic Journal
- Accession number :
- 18843147
- Full Text :
- https://doi.org/10.1007/s11238-005-6849-x