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A simple proof for the existence of Walrasian equilibrium under monotone preferences

Author

Listed:
  • Nils Hauenschild

    (University of Hamburg)

  • Peter Stahlecker

    (University of Hamburg)

Abstract

When individual preferences are strictly monotone, the continuity of the excess demand functions that is usually assumed to show the existence of a Walrasian equilibrium does not hold for price vectors in which at least one component is equal to zero. In this paper we provide a simple proof of existence for precisely this important case. It is based upon the economic intuition that equilibrium prices will never be equal to zero if preferences are strictly monotone, and it runs surprisingly similar to the one usually adopted for the case of non-monotone preferences.

Suggested Citation

  • Nils Hauenschild & Peter Stahlecker, 2002. "A simple proof for the existence of Walrasian equilibrium under monotone preferences," Economics Bulletin, AccessEcon, vol. 4(4), pages 1-8.
    • Handle: RePEc:ebl:ecbull:eb-01d50006
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    More about this item

    JEL classification:

    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling

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