[go: up one dir, main page]
More Web Proxy on the site http://driver.im/
IDEAS home Printed from https://ideas.repec.org/a/the/publsh/154.html
   My bibliography  Save this article

Efficiency in repeated trade with hidden valuations

Author

Listed:
  • ,

    (Harvard University)

  • , A.

    (University of California, San Diego)

Abstract
We analyze the extent to which efficient trade is possible in an ongoing relationship between impatient agents with hidden valuations (i.i.d. over time), restricting attention to equilibria that satisfy ex post incentive constraints in each period. With ex ante budget balance, efficient trade can be supported in each period if the discount factor is at least one half. In contrast, when the budget must balance ex post, efficiency is not attainable, and furthermore for a wide range of probability distributions over their valuations, the traders can do no better than employing a posted price mechanism in each period. Between these extremes, we consider a "bank'' that allows the traders to accumulate budget imbalances over time, but only within a bounded range. We construct non-stationary equilibria that allow traders to receive payoffs that approach efficiency as their discount factor approaches one, while the bank earns exactly zero expected profits. For some probability distributions there exist equilibria that yield exactly efficient payoffs for the players and zero profits for the bank, but such equilibria require high discount factors.

Suggested Citation

  • , & , A., 2007. "Efficiency in repeated trade with hidden valuations," Theoretical Economics, Econometric Society, vol. 2(3), September.
    • Handle: RePEc:the:publsh:154
    as

    Download full text from publisher

    File URL: http://econtheory.org/ojs/index.php/te/article/viewFile/20070299/1340/59
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Susan Athey & Andrew Atkeson & Patrick J. Kehoe, 2005. "The Optimal Degree of Discretion in Monetary Policy," Econometrica, Econometric Society, vol. 73(5), pages 1431-1475, September.
    2. Susan Athey & Kyle Bagwell & Chris Sanchirico, 2004. "Collusion and Price Rigidity," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(2), pages 317-349.
    3. Jonathan Levin, 2003. "Relational Incentive Contracts," American Economic Review, American Economic Association, vol. 93(3), pages 835-857, June.
    4. Athey, Susan & Bagwell, Kyle, 2001. "Optimal Collusion with Private Information," RAND Journal of Economics, The RAND Corporation, vol. 32(3), pages 428-465, Autumn.
    5. Dirk Bergemann & Stephen Morris, 2012. "Robust Mechanism Design," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 2, pages 49-96, World Scientific Publishing Co. Pte. Ltd..
    6. Drew Fudenberg & David Levine & Eric Maskin, 2008. "The Folk Theorem With Imperfect Public Information," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 12, pages 231-273, World Scientific Publishing Co. Pte. Ltd..
    7. Swinkels, Jeroen M, 2001. "Efficiency of Large Private Value Auctions," Econometrica, Econometric Society, vol. 69(1), pages 37-68, January.
    8. d'Aspremont, Claude & Gerard-Varet, Louis-Andre, 1979. "Incentives and incomplete information," Journal of Public Economics, Elsevier, vol. 11(1), pages 25-45, February.
    9. Athey, Susan & Levin, Jonathan, 2018. "The value of information in monotone decision problems," Research in Economics, Elsevier, vol. 72(1), pages 101-116.
    10. Edward Clarke, 1971. "Multipart pricing of public goods," Public Choice, Springer, vol. 11(1), pages 17-33, September.
    11. Hagerty, Kathleen M. & Rogerson, William P., 1987. "Robust trading mechanisms," Journal of Economic Theory, Elsevier, vol. 42(1), pages 94-107, June.
    12. Jeffrey C. Ely & Kim-Sau Chung, 2002. "Ex-Post Incentive Compatible Mechanism Design," Discussion Papers 1339, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    13. Taub, Bart, 1994. "Currency and Credit Are Equivalent Mechanisms," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(4), pages 921-956, November.
    14. Satterthwaite, Mark & Shneyerov, Artyom, 2008. "Convergence to perfect competition of a dynamic matching and bargaining market with two-sided incomplete information and exogenous exit rate," Games and Economic Behavior, Elsevier, vol. 63(2), pages 435-467, July.
    15. 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.
    16. Matthew O Jackson & Hugo F Sonnenschein, 2007. "Overcoming Incentive Constraints by Linking Decisions -super-1," Econometrica, Econometric Society, vol. 75(1), pages 241-257, January.
    17. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-631, July.
    18. McAfee, R Preston & Reny, Philip J, 1992. "Correlated Information and Mechanism Design," Econometrica, Econometric Society, vol. 60(2), pages 395-421, March.
    19. Mark A. Satterthwaite & Steven R. Williams, 2002. "The Optimality of a Simple Market Mechanism," Econometrica, Econometric Society, vol. 70(5), pages 1841-1863, September.
    20. Tymon Tatur, 2005. "On the Trade off Between Deficit and Inefficiency and the Double Auction with a Fixed Transaction Fee," Econometrica, Econometric Society, vol. 73(2), pages 517-570, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Drexl, Moritz & Kleiner, Andreas, 2013. "Preference Intensities in Repeated Collective Decision-Making," VfS Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 79832, Verein für Socialpolitik / German Economic Association.
    2. Eilat, Ran & Paunzer, Ady, 2008. "Optimal Bilateral Trade of Multiple Objects," Foerder Institute for Economic Research Working Papers 275716, Tel-Aviv University > Foerder Institute for Economic Research.
    3. Olszewski, Wojciech & Safronov, Mikhail, 2018. "Efficient cooperation by exchanging favors," Theoretical Economics, Econometric Society, vol. 13(3), September.
    4. Rohit Lamba, 2022. "Efficiency with(out) intermediation in repeated bilateral trade," Papers 2202.04201, arXiv.org.
    5. de Clippel, Geoffroy & Eliaz, Kfir & Fershtman, Daniel & Rozen, Kareen, 2021. "On selecting the right agent," Theoretical Economics, Econometric Society, vol. 16(2), May.
    6. Conan Mukherjee, 2020. "On group strategyproof and optimal object allocation," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 289-304, October.
    7. Chan, Jimmy & Zhang, Wenzhang, 2015. "Collusion enforcement with private information and private monitoring," Journal of Economic Theory, Elsevier, vol. 157(C), pages 188-211.
    8. Susan Athey & Ilya Segal, 2013. "An Efficient Dynamic Mechanism," Econometrica, Econometric Society, vol. 81(6), pages 2463-2485, November.
    9. Martin, Alberto & Vergote, Wouter, 2008. "On the role of retaliation in trade agreements," Journal of International Economics, Elsevier, vol. 76(1), pages 61-77, September.
    10. Rohit Lamba & Ilia Krasikov, 2017. "A Theory of Dynamic Contracting with Financial Constraints," 2017 Meeting Papers 1544, Society for Economic Dynamics.
    11. Eilat, Ran & Pauzner, Ady, 2011. "Optimal bilateral trade of multiple objects," Games and Economic Behavior, Elsevier, vol. 71(2), pages 503-512, March.
    12. Loertscher, Simon & Muir, Ellen V. & Taylor, Peter G., 2022. "Optimal market thickness," Journal of Economic Theory, Elsevier, vol. 200(C).
    13. Andrzej Skrzypacz & Juuso Toikka, 2015. "Mechanisms for Repeated Trade," American Economic Journal: Microeconomics, American Economic Association, vol. 7(4), pages 252-293, November.
    14. Garrett, Daniel F., 2023. "Ready to trade? On budget-balanced efficient trade with uncertain arrival," Games and Economic Behavior, Elsevier, vol. 138(C), pages 161-170.
    15. Drexl, Moritz & Kleiner, Andreas, 2015. "Optimal private good allocation: The case for a balanced budget," Games and Economic Behavior, Elsevier, vol. 94(C), pages 169-181.
    16. Liu, Heng, 2018. "Efficient dynamic mechanisms in environments with interdependent valuations: the role of contingent transfers," Theoretical Economics, Econometric Society, vol. 13(2), May.
    17. Leo, Greg, 2017. "Taking turns," Games and Economic Behavior, Elsevier, vol. 102(C), pages 525-547.

    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. Loertscher, Simon & Mezzetti, Claudio, 2021. "A dominant strategy, double clock auction with estimation-based tatonnement," Theoretical Economics, Econometric Society, vol. 16(3), July.
    2. Yoon, Kiho, 2008. "The participatory Vickrey-Clarke-Groves mechanism," Journal of Mathematical Economics, Elsevier, vol. 44(3-4), pages 324-336, February.
    3. M. Yenmez, 2015. "Incentive compatible market design with applications," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(3), pages 543-569, August.
    4. Claude d'Aspremont & Jacques Crémer & Louis-André Gérard-Varet, 2003. "Correlation, independence, and Bayesian incentives," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 21(2), pages 281-310, October.
    5. Chan, Jimmy & Zhang, Wenzhang, 2015. "Collusion enforcement with private information and private monitoring," Journal of Economic Theory, Elsevier, vol. 157(C), pages 188-211.
    6. David A. Miller, 2012. "Robust Collusion with Private Information," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 79(2), pages 778-811.
    7. Jehiel, Philippe & Moldovanu, Benny, 2005. "Allocative and Informational Externalities in Auctions and Related Mechanisms," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 142, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    8. , & ,, 2015. "Implementation with interdependent valuations," Theoretical Economics, Econometric Society, vol. 10(3), September.
    9. Shao, Ran & Zhou, Lin, 2016. "Optimal allocation of an indivisible good," Games and Economic Behavior, Elsevier, vol. 100(C), pages 95-112.
    10. Satterthwaite, Mark A. & Williams, Steven R. & Zachariadis, Konstantinos E., 2014. "Optimality versus practicality in market design: A comparison of two double auctions," Games and Economic Behavior, Elsevier, vol. 86(C), pages 248-263.
    11. Sylvain Chassang, 2013. "Calibrated Incentive Contracts," Econometrica, Econometric Society, vol. 81(5), pages 1935-1971, September.
    12. Kuzmics, Christoph & Steg, Jan-Henrik, 2017. "On public good provision mechanisms with dominant strategies and balanced budget," Journal of Economic Theory, Elsevier, vol. 170(C), pages 56-69.
    13. Leo, Greg, 2017. "Taking turns," Games and Economic Behavior, Elsevier, vol. 102(C), pages 525-547.
    14. Martin Hellwig & Felix Bierbrauer, 2009. "Public Good Provision in a Large Economy," 2009 Meeting Papers 1062, Society for Economic Dynamics.
    15. d'Aspremont, Claude & Cremer, Jacques & Gerard-Varet, Louis-Andre, 2004. "Balanced Bayesian mechanisms," Journal of Economic Theory, Elsevier, vol. 115(2), pages 385-396, April.
    16. Dirk Bergemann & Stephen Morris, 2012. "Robust Mechanism Design," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 2, pages 49-96, World Scientific Publishing Co. Pte. Ltd..
    17. Bierbrauer, Felix & Netzer, Nick, 2016. "Mechanism design and intentions," Journal of Economic Theory, Elsevier, vol. 163(C), pages 557-603.
    18. Steven J. Brams & Todd R. Kaplan & D. Marc Kilgour, 2015. "A Simple Bargaining Mechanism that Elicits Truthful Reservation Prices," Group Decision and Negotiation, Springer, vol. 24(3), pages 401-413, May.
    19. Felix Bierbrauer, 2008. "Optimal Income Taxation, Public Goods Provision and Robust Mechanism Design," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2008_31, Max Planck Institute for Research on Collective Goods.
    20. Philippe Jehiel & Moritz Meyer-ter-Vehn & Benny Moldovanu & William R. Zame, 2006. "The Limits of ex post Implementation," Econometrica, Econometric Society, vol. 74(3), pages 585-610, May.

    More about this item

    Keywords

    Repeated trade; Myerson-Satterthwaite Theorem; repeated games; private information; dynamic mechanism design; ex post incentive compatibility; budget balance;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • L14 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Transactional Relationships; Contracts and Reputation

    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:the:publsh:154. 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: Martin J. Osborne (email available below). General contact details of provider: http://econtheory.org .

    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.