RATIONAL CHOICE ON NON-FINITE SETS BY MEANS OF EXPANSION-CONTRACTION AXIOMS

Authors
SANCHEZ MC
Citation
Mc. Sanchez, RATIONAL CHOICE ON NON-FINITE SETS BY MEANS OF EXPANSION-CONTRACTION AXIOMS, Theory and decision, 45(1), 1998, pp. 1-17
Citations number
17
Categorie Soggetti
Social Sciences, Mathematical Methods",Economics
Journal title
Theory and decision → ACNP
ISSN journal
00405833
Volume
45
Issue
1
Year of publication
1998
Pages
1 - 17
Database
ISI
SICI code
0040-5833(1998)45:1<1:RCONSB>2.0.ZU;2-P
Abstract
The rationalization of a choice function, in terms of assumptions that involve expansion or contraction properties of the feasible set, over non-finite sets is analyzed. Schwartz's results (1976), stated in the finite case, are extended to this more general framework. Moreover, a characterization result when continuity conditions are imposed on the choice function, as well as on the binary relation that rationalizes it, is presented.