IDEAS home Printed from https://ideas.repec.org/p/hrv/faseco/3043420.html
   My bibliography  Save this paper

Existence of Equilibrium in Large Double Auctions

Author

Listed:
  • Fudenberg, Drew
  • Mobius, Markus
  • Szeidl, Adam

Abstract

We show the existence of a pure strategy, symmetric, increasing equilibrium in dou- ble auction markets with correlated, conditionally independent private values and many participants. The equilibrium we ï¬ nd is arbitrarily close to fully revealing as the market size grows. Our results provide strategic foundations for price-taking behavior in large markets.

Suggested Citation

  • Fudenberg, Drew & Mobius, Markus & Szeidl, Adam, 2007. "Existence of Equilibrium in Large Double Auctions," Scholarly Articles 3043420, Harvard University Department of Economics.
    • Handle: RePEc:hrv:faseco:3043420
    as

    Download full text from publisher

    File URL: http://dash.harvard.edu/bitstream/handle/1/3043420/mobius_existence.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Kalyan Chatterjee & William Samuelson, 1983. "Bargaining under Incomplete Information," Operations Research, INFORMS, vol. 31(5), pages 835-851, October.
    2. Athey, Susan, 2001. "Single Crossing Properties and the Existence of Pure Strategy Equilibria in Games of Incomplete Information," Econometrica, Econometric Society, vol. 69(4), pages 861-889, July.
    3. Matthew O. Jackson & Jeroen M. Swinkels, 2005. "Existence of Equilibrium in Single and Double Private Value Auctions," Econometrica, Econometric Society, vol. 73(1), pages 93-139, January.
    4. Wilson, Robert B, 1985. "Incentive Efficiency of Double Auctions," Econometrica, Econometric Society, vol. 53(5), pages 1101-1115, September.
    5. Gerard Debreu, 1963. "On a Theorem of Scarf," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 30(3), pages 177-180.
    6. Philip J. Reny, 1999. "On the Existence of Pure and Mixed Strategy Nash Equilibria in Discontinuous Games," Econometrica, Econometric Society, vol. 67(5), pages 1029-1056, September.
    7. Mark A. Satterthwaite & Steven R. Williams, 1989. "The Rate of Convergence to Efficiency in the Buyer's Bid Double Auction as the Market Becomes Large," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(4), pages 477-498.
    8. Rustichini, Aldo & Satterthwaite, Mark A & Williams, Steven R, 1994. "Convergence to Efficiency in a Simple Market with Incomplete Information," Econometrica, Econometric Society, vol. 62(5), pages 1041-1063, September.
    9. Martin W. Cripps & Jeroen M. Swinkels, 2006. "Efficiency of Large Double Auctions," Econometrica, Econometric Society, vol. 74(1), pages 47-92, January.
    10. Matthew O. Jackson & Leo K. Simon & Jeroen M. Swinkels & William R. Zame, 2002. "Communication and Equilibrium in Discontinuous Games of Incomplete Information," Econometrica, Econometric Society, vol. 70(5), pages 1711-1740, September.
    11. Eric Maskin & John Riley, 2000. "Equilibrium in Sealed High Bid Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(3), pages 439-454.
    12. Steven R. Williams, 1991. "Existence and Convergence of Equilibria in the Buyer's Bid Double Auction," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(2), pages 351-374.
    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. Kadan, Ohad, 2007. "Equilibrium in the two-player, k-double auction with affiliated private values," Journal of Economic Theory, Elsevier, vol. 135(1), pages 495-513, July.
    2. Satterthwaite, Mark A. & Williams, Steven R. & Zachariadis, Konstantinos E., 2022. "Price discovery using a double auction," Games and Economic Behavior, Elsevier, vol. 131(C), pages 57-83.
    3. Kadan, Ohad, 2006. "So who gains from a small tick size?," Journal of Financial Intermediation, Elsevier, vol. 15(1), pages 32-66, January.
    4. Luciano De Castro, 2012. "Correlation of Types in Bayesian Games," Discussion Papers 1556, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    5. Pavlo Prokopovych & Nicholas C. Yannelis, 2022. "On nondegenerate equilibria of double auctions with several buyers and a price floor," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(2), pages 625-654, April.
    6. Araujo, Aloisio & de Castro, Luciano I., 2009. "Pure strategy equilibria of single and double auctions with interdependent values," Games and Economic Behavior, Elsevier, vol. 65(1), pages 25-48, January.
    7. Shneyerov, Artyom & Wong, Adam Chi Leung, 2010. "The rate of convergence to perfect competition of matching and bargaining mechanisms," Journal of Economic Theory, Elsevier, vol. 145(3), pages 1164-1187, May.
    8. Oriol Carbonell-Nicolau & Richard P. McLean, 2018. "On the Existence of Nash Equilibrium in Bayesian Games," Mathematics of Operations Research, INFORMS, vol. 43(2), pages 100-129, February.
    9. Zacharias, Eleftherios & Williams, Steven R., 2001. "Ex Post Efficiency in the Buyer's Bid Double Auction When Demand Can Be Arbitrarily Larger Than Supply," Journal of Economic Theory, Elsevier, vol. 97(1), pages 175-190, March.
    10. In-Koo Cho, 2004. "Monotonicity and Rationalizability in Large Uniform Price and Double Auctions," Theory workshop papers 658612000000000076, UCLA Department of Economics.
    11. Luciano I. de Castro, 2008. "Equilibria Existence in Regular Discontinuous Games," Discussion Papers 1463, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    12. Ohad Kadan, 2004. "Equilibrium in the Two Player, k-Double Auction with Affiliate Private Values," Working Papers 2004.12, Fondazione Eni Enrico Mattei.
    13. Art Shneyerov, 2006. "Dynamic Matching with Two-sided Incomplete Information and Participation Costs," Theory workshop papers 815595000000000009, UCLA Department of Economics.
    14. Michal Bresky, 2008. "Pure Equilibrium Strategies in Multi-unit Auctions with Private Value Bidders," CERGE-EI Working Papers wp376, The Center for Economic Research and Graduate Education - Economics Institute, Prague.
    15. Giuseppe Attanasi & Samuele Centorrino & Elena Manzoni, 2020. "Zero-Intelligence vs. Human Agents: An Experimental Analysis of the Efficiency of Double Auctions and Over-the-Counter Markets of Varying Sizes," Working Papers 05/2020, University of Verona, Department of Economics.
    16. Simon Jantschgi & Heinrich H. Nax & Bary S. R. Pradelski & Marek Pycia, 2022. "On market prices in double auctions," ECON - Working Papers 404, Department of Economics - University of Zurich.
    17. Peters, Michael & Severinov, Sergei, 2006. "Internet auctions with many traders," Journal of Economic Theory, Elsevier, vol. 130(1), pages 220-245, September.
    18. Aloisio Araujo & Luciano Castro & Humberto Moreira, 2008. "Non-monotoniticies and the all-pay auction tie-breaking rule," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 35(3), pages 407-440, June.
    19. Philippe Bich & Rida Laraki, 2012. "A Unified Approach to Equilibrium Existence in Discontinuous Strategic Games," Post-Print halshs-00717135, HAL.
    20. Kastl, Jakub, 2012. "On the properties of equilibria in private value divisible good auctions with constrained bidding," Journal of Mathematical Economics, Elsevier, vol. 48(6), pages 339-352.

    More about this item

    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:hrv:faseco:3043420. 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: Office for Scholarly Communication (email available below). General contact details of provider: https://edirc.repec.org/data/deharus.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.