IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v47y2011i4p610-616.html
   My bibliography  Save this article

Non-Walrasian decentralization of the core

Author

Listed:
  • Koutsougeras, Leonidas C.
  • Ziros, Nicholas

Abstract

We show that in large finite economies, core allocations can be approximately decentralized as Nash (rather than Walras) equilibrium. We argue that this exercise is an essential complement to asymptotic core equivalence results, because it implies that in some approximate sense individual attempts to manipulate the decentralizing prices cannot be beneficial, which fits precisely the interpretation of asymptotic core convergence, namely the emergence of price taking.

Suggested Citation

  • Koutsougeras, Leonidas C. & Ziros, Nicholas, 2011. "Non-Walrasian decentralization of the core," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 610-616.
    • Handle: RePEc:eee:mateco:v:47:y:2011:i:4:p:610-616
    DOI: 10.1016/j.jmateco.2011.08.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304406811000735
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jmateco.2011.08.001?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Postlewaite, A & Schmeidler, David, 1978. "Approximate Efficiency of Non-Walrasian Nash Equilibria," Econometrica, Econometric Society, vol. 46(1), pages 127-135, January.
    2. Peck, James & Shell, Karl & Spear, Stephen E., 1992. "The market game: existence and structure of equilibrium," Journal of Mathematical Economics, Elsevier, vol. 21(3), pages 271-299.
    3. Shapley, Lloyd S & Shubik, Martin, 1977. "Trade Using One Commodity as a Means of Payment," Journal of Political Economy, University of Chicago Press, vol. 85(5), pages 937-968, October.
    4. Mas-Colell,Andreu, 1990. "The Theory of General Economic Equilibrium," Cambridge Books, Cambridge University Press, number 9780521388702, October.
    5. Dubey, Pradeep & Shubik, Martin, 1978. "A theory of money and financial institutions. 28. The non-cooperative equilibria of a closed trading economy with market supply and bidding strategies," Journal of Economic Theory, Elsevier, vol. 17(1), pages 1-20, February.
    6. Anderson, Robert M, 1978. "An Elementary Core Equivalence Theorem," Econometrica, Econometric Society, vol. 46(6), pages 1483-1487, November.
    7. Amir, Rabah & Sahi, Siddharta & Shubik, Martin & Yao, Shuntian, 1990. "A strategic market game with complete markets," Journal of Economic Theory, Elsevier, vol. 51(1), pages 126-143, June.
    8. Grodal, Birgit, 1975. "The rate of convergence of the core for a purely competitive sequence of economies," Journal of Mathematical Economics, Elsevier, vol. 2(2), pages 171-186.
    9. Postlewaite, Andrew & Schmeidler, David, 1981. "Approximate Walrasian Equilibria and Nearby Economies," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 22(1), pages 105-111, February.
    10. Anderson, Robert M., 1992. "The core in perfectly competitive economies," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 14, pages 413-457, Elsevier.
    11. Radner, Roy, 1980. "Collusive behavior in noncooperative epsilon-equilibria of oligopolies with long but finite lives," Journal of Economic Theory, Elsevier, vol. 22(2), pages 136-154, April.
    12. M. Ali Khan, 1974. "Some Equivalence Theorems," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(4), pages 549-565.
    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. Leonidas Koutsougeras, 2007. "From strategic to price taking behavior," Economics Discussion Paper Series 0717, Economics, The University of Manchester.
    2. Leonidas C. Koutsougeras & Claudia Meo, 2018. "An asymptotic analysis of strategic behavior for exchange economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(2), pages 301-325, August.
    3. Koutsougeras, Leonidas C., 2009. "Convergence of strategic behavior to price taking," Games and Economic Behavior, Elsevier, vol. 65(1), pages 234-241, January.
    4. Régis Breton & Bertrand Gobillard, 2005. "Robustness of equilibrium price dispersion in finite market games," Post-Print halshs-00257207, HAL.
    5. Anderson, Robert M., 2010. "Core allocations and small income transfers," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 373-381, July.
    6. Bloch, Francis & Ferrer, Helene, 2001. "Trade Fragmentation and Coordination in Strategic Market Games," Journal of Economic Theory, Elsevier, vol. 101(1), pages 301-316, November.
    7. Nicholas Ziros, 2015. "The law of one price in a modified strategic market game," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(2), pages 233-241, October.
    8. Nikolas Tsakas & Dimitrios Xefteris & Nicholas Ziros, 2021. "Vote Trading in Power-Sharing Systems: A Laboratory Investigation," The Economic Journal, Royal Economic Society, vol. 131(636), pages 1849-1882.
    9. Duffy, John & Matros, Alexander & Temzelides, Ted, 2011. "Competitive behavior in market games: Evidence and theory," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1437-1463, July.
    10. KOUTSOUGERAS, Leonidas, 1999. "Market games with multiple trading posts," LIDAM Discussion Papers CORE 1999018, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    11. Dubey, Pradeep & Sahi, Siddhartha & Shubik, Martin, 2018. "Money as minimal complexity," Games and Economic Behavior, Elsevier, vol. 108(C), pages 432-451.
    12. Busetto, Francesca & Codognato, Giulio & Ghosal, Sayantan, 2011. "Noncooperative oligopoly in markets with a continuum of traders," Games and Economic Behavior, Elsevier, vol. 72(1), pages 38-45, May.
    13. Papadopoulos Konstantinos G., 2008. "Purchasing Power Parity with Strategic Markets," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 8(1), pages 1-32, June.
    14. Dickson, Alex & Hartley, Roger, 2008. "The strategic Marshallian cross," Games and Economic Behavior, Elsevier, vol. 64(2), pages 514-532, November.
    15. Giraud, Gael, 2003. "Strategic market games: an introduction," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 355-375, July.
    16. Koutsougeras, Leonidas C., 2003. "Non-Walrasian equilibria and the law of one price," Journal of Economic Theory, Elsevier, vol. 108(1), pages 169-175, January.
    17. Barreda-Tarrazona, Iván & García-Gallego, Aurora & Georgantzís, Nikolaos & Ziros, Nicholas, 2018. "Market games as social dilemmas," Journal of Economic Behavior & Organization, Elsevier, vol. 155(C), pages 435-444.
    18. Leonidas C. Koutsougeras & Nicholas Ziros, 2006. "A three way equivalence," Economics Discussion Paper Series 0634, Economics, The University of Manchester.
    19. Koutsougeras, Leonidas C., 2003. "Convergence to no arbitrage equilibria in market games," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 401-420, July.
    20. Koutsougeras, Leonidas C. & Ziros, Nicholas, 2008. "A three way equivalence," Journal of Economic Theory, Elsevier, vol. 139(1), pages 380-391, March.

    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:eee:mateco:v:47:y:2011:i:4:p:610-616. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jmateco .

    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.