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Continuous Choice Functions and the Strong Axiom of Revealed Preference

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  • Bossert, Walter

Abstract

In this note, it is shown that a result due to Uzawa showing that the weak axiom of revealed preference together with a regularity condition implies the strong axiom of revealed preference can be derived from the regularity condition alone, if the choice function is continuous in prices and in income. The observation that the weak axiom of revealed preference is not needed suggests that this regularity condition is remarkably strong. The main result of the paper is quite general in the sense that the only additional assumption on the choice function is that the whole budget be spent.

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Bibliographic Info

Article provided by Springer in its journal Economic Theory.

Volume (Year): 3 (1993)
Issue (Month): 2 (April)
Pages: 379-85

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Handle: RePEc:spr:joecth:v:3:y:1993:i:2:p:379-85

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Cited by:
  1. Bossert, W., 1993. "The Kaldor Compensation Test and Rational Choice," Working Papers 9301, University of Waterloo, Department of Economics.
  2. Blackorby, Charles & Bossert, Walter & Donaldson, David, 1995. "Multi-valued demand and rational choice in the two-commodity case," Economics Letters, Elsevier, vol. 47(1), pages 5-10, January.
  3. Laurens CHERCHYE & Bram DE ROCK & Arthur LEWBEL & Frederic VERMEULEN, 2012. "Sharing rule identification for general collective consumption models," Center for Economic Studies - Discussion papers ces12.05, Katholieke Universiteit Leuven, Centrum voor Economische Studiƫn.
  4. Walter Bossert & David Donaldson & Charles Blackorby, 1999. "Rationalizable solutions to pure population problems," Social Choice and Welfare, Springer, vol. 16(3), pages 395-407.

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