IDEAS home Printed from https://ideas.repec.org/a/zbw/ifweej/201212.html
   My bibliography  Save this article

Existence of an exact Walrasian equilibrium in nonconvex economies

Author

Listed:
  • D'Agata, Antonio

Abstract

The existence of an exact Walrasian equilibrium in nonconvex economies is still a largely unexplored issue. This paper shows that such an equilibrium exists in nonconvex economies by following the nearby economyapproach introduced by Postlewaite and Schmeidler (Approximate Walrasian Equilibrium and Nearby Economies, 1981) for convex economies. More precisely, the paper shows that any equilibrium price of the convexified version of a nonconvex economy is an equilibrium price also for a set of perturbed economies with the same number of agents. It shows that in this set there are economies that differ from the original economy only as regards preferences or initial endowments.

Suggested Citation

  • 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.
    • Handle: RePEc:zbw:ifweej:201212
    DOI: 10.5018/economics-ejournal.ja.2012-12
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.5018/economics-ejournal.ja.2012-12
    Download Restriction: no
    File URL: https://www.econstor.eu/bitstream/10419/57824/1/690227965.pdf
    Download Restriction: no
    File URL: https://libkey.io/10.5018/economics-ejournal.ja.2012-12?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Smale, S., 1974. "Global analysis and economics IIA : Extension of a theorem of Debreu," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 1-14, March.
    2. Felix Kubler & Karl Schmedders, 2003. "Approximate Versus Exact Equilibria," Discussion Papers 1382, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    3. Felix Kubler & Karl Schmedders, 2008. "Approximate Versus Exact Equilibria in Dynamic Economies," Lecture Notes in Economics and Mathematical Systems, in: Computational Aspects of General Equilibrium Theory, pages 135-163, Springer.
    4. 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.
    5. Felix Kubler, 2008. "Approximate Generalizations and Computational Experiments," Lecture Notes in Economics and Mathematical Systems, in: Computational Aspects of General Equilibrium Theory, pages 109-133, Springer.
    6. Hildenbrand, Werner & Schmeidler, David & Zamir, Shmuel, 1973. "Existence of Approximate Equilibria and Cores," Econometrica, Econometric Society, vol. 41(6), pages 1159-1166, November.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Kubler, Felix & Schmedders, Karl, 2010. "Competitive equilibria in semi-algebraic economies," Journal of Economic Theory, Elsevier, vol. 145(1), pages 301-330, January.
    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. Marco Bassetto & Zhen Huo & José-Víctor Ríos-Rull, 2018. "Organizational Equilibrium with Capital," NBER Working Papers 25376, National Bureau of Economic Research, Inc.
    4. Geng, Runjie & Kubler, Felix, 2023. "Stochastic overlapping generations with non-convex budget sets," Journal of Mathematical Economics, Elsevier, vol. 107(C).
    5. D'Agata, Antonio, 2011. "Existence of exact Walrasian equilibria in non convex economies," Economics Discussion Papers 2011-47, Kiel Institute for the World Economy (IfW Kiel).
    6. Kubler, Felix & Scheidegger, Simon, 2023. "Uniformly self-justified equilibria," Journal of Economic Theory, Elsevier, vol. 212(C).
    7. Bonnisseau, Jean-Marc, 2003. "Regular economies with non-ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 39(3-4), pages 153-174, June.
    8. Dietrich, Diemo & Gehrig, Thomas, 2021. "On the instability of private intertemporal liquidity provision," Economics Letters, Elsevier, vol. 209(C).
    9. Kenneth L. Judd & Lilia Maliar & Serguei Maliar, 2014. "Lower Bounds on Approximation Errors: Testing the Hypothesis That a Numerical Solution Is Accurate?," BYU Macroeconomics and Computational Laboratory Working Paper Series 2014-06, Brigham Young University, Department of Economics, BYU Macroeconomics and Computational Laboratory.
    10. Devereux, Michael B. & Saito, Makoto & Yu, Changhua, 2020. "International capital flows, portfolio composition, and the stability of external imbalances," Journal of International Economics, Elsevier, vol. 127(C).
    11. Jordan, J. S., 1985. "Learning rational expectations: The finite state case," Journal of Economic Theory, Elsevier, vol. 36(2), pages 257-276, August.
    12. Henriksen, Espen & Spear, Stephen, 2012. "Endogenous market incompleteness without market frictions: Dynamic suboptimality of competitive equilibrium in multiperiod overlapping generations economies," Journal of Economic Theory, Elsevier, vol. 147(2), pages 426-449.
    13. Bonnisseau, Jean-Marc & del Mercato, Elena L., 2008. "General consumption constraints and regular economies," Journal of Mathematical Economics, Elsevier, vol. 44(12), pages 1286-1301, December.
    14. 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.
    15. Anderson, Robert M., 2010. "Core allocations and small income transfers," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 373-381, July.
    16. Raad, Rodrigo Jardim, 2013. "Approximate recursive equilibrium with minimal state space," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 737, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    17. Alessandro Citanna & Herve Cres & Antonio Villancci, "undated". ""Underemployment of Resources and Self-Confirming Beliefs''," CARESS Working Papres 95-20, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences.
    18. Chakrabarti, Subir K., 2014. "On the robustness of the competitive equilibrium: Utility-improvements and equilibrium points," Journal of Mathematical Economics, Elsevier, vol. 55(C), pages 36-47.
    19. Citanna, Alessandro & Villanacci, Antonio, 2000. "Existence and regularity of partially revealing rational expectations equilibrium in finite economies," Journal of Mathematical Economics, Elsevier, vol. 34(1), pages 1-26, August.
    20. Philippe Bich & Bernard Cornet, 2009. "Existence of pseudo-equilibria in a financial economy," Post-Print halshs-00426399, HAL.

    More about this item

    Keywords

    Exact Walrasian equilibrium; nonconvex economies; perturbed economies;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:zbw:ifweej:201212. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ZBW - Leibniz Information Centre for Economics (email available below). General contact details of provider: https://edirc.repec.org/data/iwkiede.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.