IDEAS home Printed from https://ideas.repec.org/a/eee/matsoc/v84y2016icp68-75.html
   My bibliography  Save this article

Implementable and ex-post IR rules in bilateral trading with discrete values

Author

Listed:
  • Flesch, János
  • Schröder, Marc
  • Vermeulen, Dries

Abstract

We study bargaining problems between one buyer and one seller for a single object when each set of valuations is finite. We derive a necessary and sufficient condition for interim-implementable trading rules, analogous to the result in Myerson and Satterthwaite (1983), and a necessary condition for mechanisms that are free from ex post regret on and off equilibrium path. Based on these two theorems, our contribution is three-fold. First, we illustrate the results by means of three examples. Second, in contrast to the continuous model, there always exist strictly positive probability mass functions such that ex post efficiency and interim-implementability is feasible. Third, we show the difference between interim- and ex post-implementation. In the class of threshold trading rules, interim-implementation only precludes inefficient trade, while ex post-implementation is equivalent to posted price implementation.

Suggested Citation

  • Flesch, János & Schröder, Marc & Vermeulen, Dries, 2016. "Implementable and ex-post IR rules in bilateral trading with discrete values," Mathematical Social Sciences, Elsevier, vol. 84(C), pages 68-75.
    • Handle: RePEc:eee:matsoc:v:84:y:2016:i:c:p:68-75
    DOI: 10.1016/j.mathsocsci.2016.08.003
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165489616300610
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.mathsocsci.2016.08.003?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. Olivier Compte & Philippe Jehiel, 2009. "Veto Constraint in Mechanism Design: Inefficiency with Correlated Types," American Economic Journal: Microeconomics, American Economic Association, vol. 1(1), pages 182-206, February.
    2. Bulow, Jeremy & Roberts, John, 1989. "The Simple Economics of Optimal Auctions," Journal of Political Economy, University of Chicago Press, vol. 97(5), pages 1060-1090, October.
    3. Myerson, Roger B. & Satterthwaite, Mark A., 1983. "Efficient mechanisms for bilateral trading," Journal of Economic Theory, Elsevier, vol. 29(2), pages 265-281, April.
    4. R. H. Coase, 2013. "The Problem of Social Cost," Journal of Law and Economics, University of Chicago Press, vol. 56(4), pages 837-877.
    5. Matthews, Steven A. & Postlewaite, Andrew, 1989. "Pre-play communication in two-person sealed-bid double auctions," Journal of Economic Theory, Elsevier, vol. 48(1), pages 238-263, June.
    6. Kalyan Chatterjee & William Samuelson, 1983. "Bargaining under Incomplete Information," Operations Research, INFORMS, vol. 31(5), pages 835-851, October.
    7. Hagerty, Kathleen M. & Rogerson, William P., 1987. "Robust trading mechanisms," Journal of Economic Theory, Elsevier, vol. 42(1), pages 94-107, June.
    8. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    9. Stefano Galavotti & Nozomu Muto & Daisuke Oyama, 2011. "On efficient partnership dissolution under ex post individual rationality," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(1), pages 87-123, September.
    10. Matsuo, Toshihide, 1989. "On incentive compatible, individually rational, and ex post efficient mechanisms for bilateral trading," Journal of Economic Theory, Elsevier, vol. 49(1), pages 189-194, October.
    11. Gresik, Thomas A., 1991. "Efficient bilateral trade with statistically dependent beliefs," Journal of Economic Theory, Elsevier, vol. 53(1), pages 199-205, February.
    12. Thomas A. Gresik & Mark A. Satterthwaite, 1983. "The Number of Traders Required to Make a Market Competitive: The Beginnings of a Theory," Discussion Papers 551, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    13. Gresik, Thomas A., 1991. "Ex ante efficient, ex post individually rational trade," Journal of Economic Theory, Elsevier, vol. 53(1), pages 131-145, February.
    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. Hagen, Martin, 2019. "Collusion-proof and fair auctions," Economics Letters, Elsevier, vol. 185(C).
    2. Kamyar Kargar & Halil Ibrahim Bayrak & Mustafa Çelebi Pinar, 2018. "Robust bilateral trade with discrete types," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 6(4), pages 367-393, December.

    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. Flesch, J. & Schröder, M.J.W. & Vermeulen, A.J., 2013. "The bilateral trade model in a discrete setting," Research Memorandum 025, Maastricht University, Graduate School of Business and Economics (GSBE).
    2. Saran, Rene, 2011. "Bilateral trading with naive traders," Games and Economic Behavior, Elsevier, vol. 72(2), pages 544-557, June.
    3. Crawford, Vincent P., 2021. "Efficient mechanisms for level-k bilateral trading," Games and Economic Behavior, Elsevier, vol. 127(C), pages 80-101.
    4. Olivier Compte & Philippe Jehiel, 2009. "Veto Constraint in Mechanism Design: Inefficiency with Correlated Types," American Economic Journal: Microeconomics, American Economic Association, vol. 1(1), pages 182-206, February.
    5. William P. Barnett & Daniel A. Levinthal, 2017. "Special Issue Introduction: Evolutionary Logics of Strategy and Organization," Strategy Science, INFORMS, vol. 2(1), pages 1-1, March.
    6. Rohit Lamba, 2022. "Efficiency with(out) intermediation in repeated bilateral trade," Papers 2202.04201, arXiv.org.
    7. Luyi Yang & Laurens Debo & Varun Gupta, 2017. "Trading Time in a Congested Environment," Management Science, INFORMS, vol. 63(7), pages 2377-2395, July.
    8. Simon Loertscher & Andras Niedermayer, 2012. "Fee-Setting Mechanisms: On Optimal Pricing by Intermediaries and Indirect Taxation," Department of Economics - Working Papers Series 1162, The University of Melbourne.
    9. Binmore, Ken & Osborne, Martin J. & Rubinstein, Ariel, 1992. "Noncooperative models of bargaining," 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 7, pages 179-225, Elsevier.
    10. Hannu Vartiainen, 2003. "Auction Design without Commitment," Working Papers 2003.24, Fondazione Eni Enrico Mattei.
    11. Loertscher, Simon & Marx, Leslie M., 2020. "Asymptotically optimal prior-free clock auctions," Journal of Economic Theory, Elsevier, vol. 187(C).
    12. Hu Lu & Jacques Robert, 1997. "Optimal Trading Mechanisms with Ex Ante Unidentified Traders," CIRANO Working Papers 97s-29, CIRANO.
    13. Loertscher, Simon & Marx, Leslie M., 2017. "Club good intermediaries," International Journal of Industrial Organization, Elsevier, vol. 50(C), pages 430-459.
    14. Kneeland, Terri, 2022. "Mechanism design with level-k types: Theory and an application to bilateral trade," Journal of Economic Theory, Elsevier, vol. 201(C).
    15. Andrés Abeliuk & Gerardo Berbeglia & Pascal Van Hentenryck, 2015. "Bargaining Mechanisms for One-Way Games," Games, MDPI, vol. 6(3), pages 1-21, September.
    16. Jean-Michel Benkert, 2015. "Bilateral trade with loss-averse agents," ECON - Working Papers 188, Department of Economics - University of Zurich, revised Jul 2022.
    17. Kos, Nenad & Messner, Matthias, 2013. "Extremal incentive compatible transfers," Journal of Economic Theory, Elsevier, vol. 148(1), pages 134-164.
    18. Loertscher, Simon & Mezzetti, Claudio, 2021. "A dominant strategy, double clock auction with estimation-based tatonnement," Theoretical Economics, Econometric Society, vol. 16(3), July.
    19. Schmitz, Patrick W., 2002. "On Monopolistic Licensing Strategies under Asymmetric Information," Journal of Economic Theory, Elsevier, vol. 106(1), pages 177-189, September.
    20. David Martimort & Aggey Semenov & Lars Stole, 2017. "A Theory of Contracts with Limited Enforcement," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 84(2), pages 816-852.

    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:eee:matsoc:v:84:y:2016:i:c:p:68-75. 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/inca/505565 .

    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.