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On the Relation between the Equilibrium Set and the Demand Functions

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  • Nickolas J. Michelacakis

    (University of Piraeus, Department of Economics, 80, M. Karaoli & A. Dimitriou Str, 185 34 Piraeus, Greece.)

Abstract

It is shown that, in pure exchange economies, the individual demand functions can be recovered from the equilibrium set regardless of the way we evaluate wealth. Following Balasco (2004), the demand functions do not have to be differentiable, not even continuous nor utility maximizing. Thus, the set of equilibria does not necessarily carry the structure of a manifold. Further, it is proved that the inner product structure is redundant in the sense that the result holds true even if wealth is being evaluated by means of a more general function on the price commodity space satisfying minimal requirements.

Suggested Citation

  • Nickolas J. Michelacakis, 2013. "On the Relation between the Equilibrium Set and the Demand Functions," SPOUDAI Journal of Economics and Business, SPOUDAI Journal of Economics and Business, University of Piraeus, vol. 63(1-2), pages 94-99, June.
    • Handle: RePEc:spd:journl:v:63:y:2013:i:1-2:p:94-99
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    References listed on IDEAS

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    1. Chiappori, P. -A. & Ekeland, I. & Kubler, F. & Polemarchakis, H. M., 2004. "Testable implications of general equilibrium theory: a differentiable approach," Journal of Mathematical Economics, Elsevier, vol. 40(1-2), pages 105-119, February.
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    More about this item

    Keywords

    Equilibrium set (manifold); Demand functions.;

    JEL classification:

    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies

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