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Approximate Equilibria with Bounds Independent of Preferences

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  • Robert M. Anderson
  • M. Ali Khan
  • Salim Rashid

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, 1982. "Approximate Equilibria with Bounds Independent of Preferences," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(3), pages 473-475.
    • Handle: RePEc:oup:restud:v:49:y:1982:i:3:p:473-475.
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    File URL: http://hdl.handle.net/10.2307/2297370
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    References listed on IDEAS

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

    1. Vincenzo Scalzo, 2005. "Approximate social nash equilibria and applications," Quaderni DSEMS 03-2005, Dipartimento di Scienze Economiche, Matematiche e Statistiche, Universita' di Foggia.
    2. M. Ali Khan, 2007. "Perfect Competition," PIDE-Working Papers 2007:15, Pakistan Institute of Development Economics.
    3. Dietrich, Diemo & Gehrig, Thomas, 2021. "On the instability of private intertemporal liquidity provision," Economics Letters, Elsevier, vol. 209(C).
    4. 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.
    5. 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.
    6. Anderson, Robert M., 2010. "Core allocations and small income transfers," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 373-381, July.
    7. 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.
    8. Geng, Runjie & Kubler, Felix, 2023. "Stochastic overlapping generations with non-convex budget sets," Journal of Mathematical Economics, Elsevier, vol. 107(C).

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