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Approximate Equilibria with Bounds Independent of Preferences

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  • Robert M. Anderson

    (Princeton University)

  • M. Ali Khan

    (Johns Hopkins University)

  • Salim Rashid

    (Dartmouth College)

Abstract

We prove the existence of approximate equilibria in exchange economies, giving bounds on the excess demand in terms of the number of traders and norms of the endowments, but independent of the preferences.

Suggested Citation

  • Robert M. Anderson & M. Ali Khan & Salim Rashid, 1981. "Approximate Equilibria with Bounds Independent of Preferences," Cowles Foundation Discussion Papers 595, Cowles Foundation for Research in Economics, Yale University.
    • Handle: RePEc:cwl:cwldpp:595
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    File URL: https://cowles.yale.edu/sites/default/files/files/pub/d05/d0595.pdf
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    References listed on IDEAS

    as
    1. Hildenbrand, Werner & Schmeidler, David & Zamir, Shmuel, 1973. "Existence of Approximate Equilibria and Cores," Econometrica, Econometric Society, vol. 41(6), pages 1159-1166, November.
    2. Starr, Ross M, 1969. "Quasi-Equilibria in Markets with Non-Convex Preferences," Econometrica, Econometric Society, vol. 37(1), pages 25-38, January.
    3. Khan, M. Ali, 1975. "Some approximate equilibria," Journal of Mathematical Economics, Elsevier, vol. 2(1), pages 63-86, March.
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    Cited by:

    1. M. Ali Khan & Metin Uyanik, 2021. "The Yannelis–Prabhakar theorem on upper semi-continuous selections in paracompact spaces: extensions and applications," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(3), pages 799-840, April.
    2. Vincenzo Scalzo, 2005. "Approximate social nash equilibria and applications," Quaderni DSEMS 03-2005, Dipartimento di Scienze Economiche, Matematiche e Statistiche, Universita' di Foggia.
    3. M. Ali Khan, 2007. "Perfect Competition," PIDE-Working Papers 2007:15, Pakistan Institute of Development Economics.
    4. Anderson, Robert M., 2010. "Core allocations and small income transfers," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 373-381, July.
    5. Dietrich, Diemo & Gehrig, Thomas, 2021. "On the instability of private intertemporal liquidity provision," Economics Letters, Elsevier, vol. 209(C).
    6. D'Agata, Antonio, 2012. "Existence of an exact Walrasian equilibrium in nonconvex economies," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 6, pages 1-16.
    7. Geng, Runjie & Kubler, Felix, 2023. "Stochastic overlapping generations with non-convex budget sets," Journal of Mathematical Economics, Elsevier, vol. 107(C).
    8. M. Ali Khan & Kali P. Rath, 2011. "The Shapley-Folkman Theorem and the Range of a Bounded Measure: An Elementary and Unified Treatment," Economics Working Paper Archive 586, The Johns Hopkins University,Department of Economics.

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