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A Market Value Approach to Approximate Equilibria

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  • Robert M. Anderson

    (Yale University & Princeton University)

Abstract

We consider the market value of excess demand as a measure of disequilibrium. We show that, in a fixed exchange economy, there exist approximate equilibria whose measures of disequilibrium depend only on the endowments and not on the preferences. A related bound on the norm of excess demand, depending on the endowments and the approximate equilibrium price, is also obtained. We show the existence of allocations which are nearly competitive, as measured by the largest proportion of demand given up at the allocation by any trader. We use these results to obtain, for very general sequences of exchange economies, allocations giving all traders bundles close to norm to their demands. This result includes a O(1/n) rate of convergence in the case of uniformly bounded endowments.

Suggested Citation

  • Robert M. Anderson, 1980. "A Market Value Approach to Approximate Equilibria," Cowles Foundation Discussion Papers 572, Cowles Foundation for Research in Economics, Yale University.
    • Handle: RePEc:cwl:cwldpp:572
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    File URL: https://cowles.yale.edu/sites/default/files/files/pub/d05/d0572.pdf
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    References listed on IDEAS

    as
    1. Anderson, Robert M, 1978. "An Elementary Core Equivalence Theorem," Econometrica, Econometric Society, vol. 46(6), pages 1483-1487, November.
    2. Starr, Ross M, 1969. "Quasi-Equilibria in Markets with Non-Convex Preferences," Econometrica, Econometric Society, vol. 37(1), pages 25-38, January.
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