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Continuous Choice Functions and the Strong Axiom of Revealed Preference


  • Bossert, Walter


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.

Suggested Citation

  • Bossert, Walter, 1993. "Continuous Choice Functions and the Strong Axiom of Revealed Preference," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(2), pages 379-385, April.
  • Handle: RePEc:spr:joecth:v:3:y:1993:i:2:p:379-85

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    References listed on IDEAS

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    Cited by:

    1. Bossert, Walter, 1996. "The Kaldor compensation test and rational choice," Journal of Public Economics, Elsevier, vol. 59(2), pages 265-276, February.
    2. Laurens Cherchye & Bram De Rock & Arthur Lewbel & Frederic Vermeulen, 2015. "Sharing Rule Identification for General Collective Consumption Models," Econometrica, Econometric Society, vol. 83(5), pages 2001-2041, September.
    3. Walter Bossert & David Donaldson & Charles Blackorby, 1999. "Rationalizable solutions to pure population problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(3), pages 395-407.
    4. 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.
    5. Cherchye, Laurens & De Rock, Bram & Demuynck, Thomas, 0. "Transitivity of preferences: when does it matter?," Theoretical Economics, Econometric Society.
    6. Bossert, Walter, 1998. "Welfarism and rationalizability in allocation problems with indivisibilities1," Mathematical Social Sciences, Elsevier, vol. 35(2), pages 133-150, March.

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