Revealed preferences: A topological approach
AbstractThe purpose of this paper is to study the relationship between the axiomatic foundations of revealed preference theory and the continuity properties of choice. The main result of this paper shows that the continuity of a set-to-point choice function is equivalent to the weak axiom of revealed preference and openness of the strict revealed relation, provided that the collection of budget sets is endowed with a topology used widely by economists.
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Bibliographic InfoArticle provided by Elsevier in its journal Journal of Mathematical Economics.
Volume (Year): 46 (2010)
Issue (Month): 3 (May)
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Web page: http://www.elsevier.com/locate/jmateco
Revealed preference axioms Rational behavior Hypertopologies Continuity of demand;
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- Suzumura, Kotaro, 1976. "Rational Choice and Revealed Preference," Review of Economic Studies, Wiley Blackwell, vol. 43(1), pages 149-58, February.
- Clark, Stephen A, 1985. "A Complementary Approach to the Strong and Weak Axioms of Revealed Preference," Econometrica, Econometric Society, vol. 53(6), pages 1459-63, November.
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