Magyarkuti, Gyula (2000): Note on generated choice and axioms of revealed preference. Published in: Central Europen Journal of Operations Research , Vol. 8, No. 1 (2000): pp. 5762.

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Abstract
In this article, we study the axiomatic foundations of revealed preference theory. Let P denote the strict and R the weak revealed preference, respectively. The purpose of the paper is to show that weak, strong, and Hansson's axioms of revealed preference can be given as identities using the generated choices with respect to P and R in terms of maximality and in terms of greatestness.
Item Type:  MPRA Paper 

Original Title:  Note on generated choice and axioms of revealed preference 
Language:  English 
Keywords:  Revealed preference, Weak axiom of revealed preference, Strong axiom of revealed preference, Hansson's axiom of revealed preference 
Subjects:  D  Microeconomics > D7  Analysis of Collective DecisionMaking > D70  General C  Mathematical and Quantitative Methods > C0  General > C02  Mathematical Methods D  Microeconomics > D0  General > D00  General C  Mathematical and Quantitative Methods > C6  Mathematical Methods; Programming Models; Mathematical and Simulation Modeling > C60  General 
Item ID:  20358 
Depositing User:  Gyula Magyarkuti 
Date Deposited:  02. Feb 2010 14:20 
Last Modified:  13. Feb 2013 20:32 
References:  Antonelli, G. (1886), Sulla Teoria Matematica della Economica Politica, Nella tipografia del Folchetto, Pisa Arrow, K. (1959), Rational choice function and orderings, Economica, N.S., 26 (1959), pp. 121127. Clark, S.A. (1985), A complementary approach to the strong and weak axioms of revealed preference, Econometrica, 53 (1985), pp. 14591463. Duggan, J. (1999), General extension theorem for binary relations, Journal of Economic Theory, 86 (1999), pp. 116. Hansson, B. (1968), Choice structures and preference relations, Synthese, 18 (1968), pp. 443458. Houthakker, H. (1950), Revealed preference and utility function, Economica, N.S., 17 (1950), pp. 159174. Richter, M. (1966), Revealed preference theory, Econometrica, 34 (1966), pp. 635645. Richter, M. (1971), Rational choice, in Preferences Utility and Demand by J. Chipman, L. Hurwitz, M. Richter, and H. Sonnenschein (eds.), NewYork: Horcourt Brace Jowanowich, (1971), pp. 2958. Samuelson, P. (1947), Foundations of Economic Analysis, Harvard University Press, Cambridge, Massachusetts, 1947. Sen, A. K. (1971), Choice functions and revealed preference, Review of Economic Studies, (1971), pp. 307317. Suzumura, K. (1976), Rational choice and revealed preference, Review of Economic Studies, 43 (1976), pp. 149158. Suzumura, K. (1977), Houthakker's axiom in the theory of rational choice}, Journal of Economic Theory, 14 (1977), pp. 284290. Uzawa, H. (1956), A note on preference and axioms of choice, Annals of the Institute of Statistical Mathematics, 8 (1956), pp. 3540. 
URI:  http://mpra.ub.unimuenchen.de/id/eprint/20358 