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Weak Axiomatic Demand Theory

Author

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  • Quah, J.K.-H.

Abstract

This paper gives a unified and simple treatment of three related questions in the demand theory of the weak axiom: (i) Is there an elementary, i.e., non-fixed point theoretic, proof of equilibrium existence when the excess demand function of an economy satisfies the weak axiom? (ii) What conditions are sufficient for a non-transitive preference to generate a continuous demand function? Note that such a demand must satisfy the weak, though not necessarily the strong, axiom. This motivates the next question. (iii) Given a function that satisfy the weak axiom, can we find a preference that generates it?

Suggested Citation

  • Quah, J.K.-H., 2000. "Weak Axiomatic Demand Theory," Economics Papers 2000-w12, Economics Group, Nuffield College, University of Oxford.
    • Handle: RePEc:nuf:econwp:2000-w12
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    Cited by:

    1. Brighi, Luigi, 2004. "A stronger criterion for the Weak Weak Axiom," Journal of Mathematical Economics, Elsevier, vol. 40(1-2), pages 93-103, February.
    2. Quah, John K.-H., 2008. "The existence of equilibrium when excess demand obeys the weak axiom," Journal of Mathematical Economics, Elsevier, vol. 44(3-4), pages 337-343, February.

    More about this item

    Keywords

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    JEL classification:

    • A10 - General Economics and Teaching - - General Economics - - - General
    • D30 - Microeconomics - - Distribution - - - General

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