IDEAS home Printed from https://ideas.repec.org/p/wrk/warwec/1249.html
   My bibliography  Save this paper

A Dominant Strategy, Double Clock Auction with Estimation-Based Tatonnement

Author

Listed:
  • Loertscher, Simon

    (University of Melbourne)

  • Mezzetti, Claudio

    (University of Queensland & University of Warwick)

Abstract

The price mechanism is fundamental to economics but difficult to reconcile with incentive compatibility and individual rationality. We introduce a double clock auction for a homogeneous good market with multi-dimensional private information and multi-unit traders that is deficit-free, ex post individually rational, constrained efficient, and makes sincere bidding a dominant strategy equilibrium. Under a weak dependence and an identifiability condition, our double clock auction is also asymptotically efficient. Asymptotic efficiency is achieved by estimating demand and supply using information from the bids of traders that have dropped out and following a tatonnement process that adjusts the clock prices based on the estimates.

Suggested Citation

  • Loertscher, Simon & Mezzetti, Claudio, 2020. "A Dominant Strategy, Double Clock Auction with Estimation-Based Tatonnement," The Warwick Economics Research Paper Series (TWERPS) 1249, University of Warwick, Department of Economics.
  • Handle: RePEc:wrk:warwec:1249
    as

    Download full text from publisher

    File URL: https://warwick.ac.uk/fac/soc/economics/research/workingpapers/2020/twerp_1249_-_mezzetti.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Dirk Bergemann & Stephen Morris, 2012. "An Ascending Auction for Interdependent Values: Uniqueness and Robustness to Strategic Uncertainty," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 7, pages 253-262, World Scientific Publishing Co. Pte. Ltd..
    2. Milgrom,Paul, 2004. "Putting Auction Theory to Work," Cambridge Books, Cambridge University Press, number 9780521536721.
    3. Baliga Sandeep & Vohra Rakesh, 2003. "Market Research and Market Design," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 3(1), pages 1-27, August.
    4. Ilya Segal, 2003. "Optimal Pricing Mechanisms with Unknown Demand," American Economic Review, American Economic Association, vol. 93(3), pages 509-529, June.
    5. Dirk Bergemann & Stephen Morris, 2007. "Ascending Auction: Uniqueness and Robustness to Strategic Uncertainty," Levine's Bibliography 321307000000000845, UCLA Department of Economics.
    6. Ning Sun & Zaifu Yang, 2014. "An Efficient and Incentive Compatible Dynamic Auction for Multiple Complements," Journal of Political Economy, University of Chicago Press, vol. 122(2), pages 422-466.
    7. Jean-Charles Rochet & Jean Tirole, 2002. "Cooperation Among Competitors: Some Economics Of Payment Card Associations," RAND Journal of Economics, The RAND Corporation, vol. 33(4), pages 549-570, Winter.
    8. Jean‐Charles Rochet & Jean Tirole, 2006. "Two‐sided markets: a progress report," RAND Journal of Economics, RAND Corporation, vol. 37(3), pages 645-667, September.
    9. Lawrence M. Ausubel & Peter Cramton & Marek Pycia & Marzena Rostek & Marek Weretka, 2014. "Demand Reduction and Inefficiency in Multi-Unit Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(4), pages 1366-1400.
    10. Peters, Michael & Severinov, Sergei, 2006. "Internet auctions with many traders," Journal of Economic Theory, Elsevier, vol. 130(1), pages 220-245, September.
    11. Renato Gomes, 2014. "Optimal auction design in two-sided markets," RAND Journal of Economics, RAND Corporation, vol. 45(2), pages 248-272, June.
    12. Martin W. Cripps & Jeroen M. Swinkels, 2006. "Efficiency of Large Double Auctions," Econometrica, Econometric Society, vol. 74(1), pages 47-92, January.
    13. 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..
    14. McAfee, R. Preston, 1992. "A dominant strategy double auction," Journal of Economic Theory, Elsevier, vol. 56(2), pages 434-450, April.
    15. 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.
    16. Philip J Reny & Motty Perry, 2006. "Toward a Strategic Foundation for Rational Expectations Equilibrium," Econometrica, Econometric Society, vol. 74(5), pages 1231-1269, September.
    17. Hagerty, Kathleen M. & Rogerson, William P., 1987. "Robust trading mechanisms," Journal of Economic Theory, Elsevier, vol. 42(1), pages 94-107, June.
    18. Kojima, Fuhito & Yamashita, Takuro, 2017. "Double auction with interdependent values: incentives and efficiency," Theoretical Economics, Econometric Society, vol. 12(3), September.
    19. Motty Perry & Philip J. Reny, 2005. "An Efficient Multi-Unit Ascending Auction," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(2), pages 567-592.
    20. Dirk Bergemann & Stephen Morris, 2007. "An Ascending Auction for Independent Values: Uniqueness and Robustness to Strategic Uncertainty," Cowles Foundation Discussion Papers 1600, Cowles Foundation for Research in Economics, Yale University, revised Mar 2007.
    21. Caillaud, Bernard & Jullien, Bruno, 2003. "Chicken & Egg: Competition among Intermediation Service Providers," RAND Journal of Economics, The RAND Corporation, vol. 34(2), pages 309-328, Summer.
    22. Yoon, Kiho, 2008. "The participatory Vickrey-Clarke-Groves mechanism," Journal of Mathematical Economics, Elsevier, vol. 44(3-4), pages 324-336, February.
    23. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    24. Myerson, Roger B, 1979. "Incentive Compatibility and the Bargaining Problem," Econometrica, Econometric Society, vol. 47(1), pages 61-73, January.
    25. David Lucking-Reiley, 2000. "Vickrey Auctions in Practice: From Nineteenth-Century Philately to Twenty-First-Century E-Commerce," Journal of Economic Perspectives, American Economic Association, vol. 14(3), pages 183-192, Summer.
    26. Lawrence M. Ausubel, 2006. "An Efficient Dynamic Auction for Heterogeneous Commodities," American Economic Review, American Economic Association, vol. 96(3), pages 602-629, June.
    27. Lawrence M. Ausubel, 2004. "An Efficient Ascending-Bid Auction for Multiple Objects," American Economic Review, American Economic Association, vol. 94(5), pages 1452-1475, December.
    28. Myerson, Roger B. & Satterthwaite, Mark A., 1983. "Efficient mechanisms for bilateral trading," Journal of Economic Theory, Elsevier, vol. 29(2), pages 265-281, April.
    29. Gresik, Thomas A. & Satterthwaite, Mark A., 1989. "The rate at which a simple market converges to efficiency as the number of traders increases: An asymptotic result for optimal trading mechanisms," Journal of Economic Theory, Elsevier, vol. 48(1), pages 304-332, June.
    30. Shengwu Li, 2017. "Obviously Strategy-Proof Mechanisms," American Economic Review, American Economic Association, vol. 107(11), pages 3257-3287, November.
    31. Rochet, J. C., 1985. "The taxation principle and multi-time Hamilton-Jacobi equations," Journal of Mathematical Economics, Elsevier, vol. 14(2), pages 113-128, April.
    32. Loertscher, Simon & Mezzetti, Claudio, 2019. "The deficit on each trade in a Vickrey double auction is at least as large as the Walrasian price gap," Journal of Mathematical Economics, Elsevier, vol. 84(C), pages 101-106.
    33. John McMillan, 1994. "Selling Spectrum Rights," Journal of Economic Perspectives, American Economic Association, vol. 8(3), pages 145-162, Summer.
    34. 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.
    35. Ning Sun & Zaifu Yang, 2009. "A Double-Track Adjustment Process for Discrete Markets With Substitutes and Complements," Econometrica, Econometric Society, vol. 77(3), pages 933-952, May.
    36. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    37. Dütting, Paul & Talgam-Cohen, Inbal & Roughgarden, Tim, 2017. "Modularity and greed in double auctions," Games and Economic Behavior, Elsevier, vol. 105(C), pages 59-83.
    38. Mark Armstrong Author-Email: mark.armstrong@ucl.ac.uk Author-Workplace-Name: University College of London, 2006. "Competition in Two-Sided Markets," RAND Journal of Economics, The RAND Corporation, vol. 37(3), pages 668-691, Autumn.
    39. Edward Clarke, 1971. "Multipart pricing of public goods," Public Choice, Springer, vol. 11(1), pages 17-33, September.
    40. 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.
    41. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-631, July.
    42. Claudio Mezzetti, 2004. "Mechanism Design with Interdependent Valuations: Efficiency," Econometrica, Econometric Society, vol. 72(5), pages 1617-1626, September.
    43. Burkett, Justin & Woodward, Kyle, 2020. "Uniform price auctions with a last accepted bid pricing rule," Journal of Economic Theory, Elsevier, vol. 185(C).
    44. Mark A. Satterthwaite & Steven R. Williams, 2002. "The Optimality of a Simple Market Mechanism," Econometrica, Econometric Society, vol. 70(5), pages 1841-1863, September.
    45. Dütting, Paul & Talgam-Cohen, Inbal & Roughgarden, Tim, 2017. "Modularity and greed in double auctions," LSE Research Online Documents on Economics 83199, London School of Economics and Political Science, LSE Library.
    46. 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. Loertscher, Simon & Marx, Leslie M., 2023. "Asymptotically optimal prior-free asset market mechanisms," Games and Economic Behavior, Elsevier, vol. 137(C), pages 68-90.

    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 & Marx, Leslie M., 2020. "Asymptotically optimal prior-free clock auctions," Journal of Economic Theory, Elsevier, vol. 187(C).
    2. Satoru Fujishige & Zaifu Yang, 2020. "A Universal Dynamic Auction for Unimodular Demand Types: An Efficient Auction Design for Various Kinds of Indivisible Commodities," Discussion Papers 20/08, Department of Economics, University of York.
    3. Dütting, Paul & Talgam-Cohen, Inbal & Roughgarden, Tim, 2017. "Modularity and greed in double auctions," LSE Research Online Documents on Economics 83199, London School of Economics and Political Science, LSE Library.
    4. 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.
    5. Yoon, Kiho, 2008. "The participatory Vickrey-Clarke-Groves mechanism," Journal of Mathematical Economics, Elsevier, vol. 44(3-4), pages 324-336, February.
    6. Dütting, Paul & Talgam-Cohen, Inbal & Roughgarden, Tim, 2017. "Modularity and greed in double auctions," Games and Economic Behavior, Elsevier, vol. 105(C), pages 59-83.
    7. Sarkar, Soumendu, 2018. "Convergence of VCG mechanism to ex-post budget balance in a model of land acquisition," Mathematical Social Sciences, Elsevier, vol. 93(C), pages 37-46.
    8. Gerard van der Laan & Zaifu Yang, 2016. "An ascending multi-item auction with financially constrained bidders," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 1(1), pages 109-149, December.
    9. Delacrétaz, David & Loertscher, Simon & Marx, Leslie M. & Wilkening, Tom, 2019. "Two-sided allocation problems, decomposability, and the impossibility of efficient trade," Journal of Economic Theory, Elsevier, vol. 179(C), pages 416-454.
    10. Tim Roughgarden & Inbal Talgam-Cohen, 2018. "Approximately Optimal Mechanism Design," Papers 1812.11896, arXiv.org, revised Aug 2020.
    11. Yoon, Kiho, 2001. "The Modified Vickrey Double Auction," Journal of Economic Theory, Elsevier, vol. 101(2), pages 572-584, December.
    12. Kiho Yoon, 2021. "Robust double auction mechanisms," Papers 2102.00669, arXiv.org, revised May 2022.
    13. Tomoya Kazumura & Shigehiro Serizawa, 2016. "Efficiency and strategy-proofness in object assignment problems with multi-demand preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(3), pages 633-663, October.
    14. Committee, Nobel Prize, 2020. "Improvements to auction theory and inventions of new auction formats," Nobel Prize in Economics documents 2020-2, Nobel Prize Committee.
    15. Aristotelis Boukouras & Kostas Koufopoulos, 2017. "Efficient allocations in economies with asymmetric information when the realized frequency of types is common knowledge," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 64(1), pages 75-98, June.
    16. Loertscher, Simon & Mezzetti, Claudio, 2019. "The deficit on each trade in a Vickrey double auction is at least as large as the Walrasian price gap," Journal of Mathematical Economics, Elsevier, vol. 84(C), pages 101-106.
    17. Kaplan, Todd R. & Zamir, Shmuel, 2015. "Advances in Auctions," Handbook of Game Theory with Economic Applications,, Elsevier.
    18. Yan, Haomin, 2021. "Position auctions with multi-unit demands," Games and Economic Behavior, Elsevier, vol. 127(C), pages 179-193.
    19. Aristotelis Boukouras & Kostas Koufopoulos, 2015. "Efficient Allocations in Economies with Asymmetric Information when the Realized Frequency of Types is Common Knowledge," Discussion Papers in Economics 15/04, Division of Economics, School of Business, University of Leicester.
    20. Loertscher, Simon & Muir, Ellen V. & Taylor, Peter G., 2022. "Optimal market thickness," Journal of Economic Theory, Elsevier, vol. 200(C).

    More about this item

    Keywords

    Deficit free ; dominant strategy mechanisms ; double clock auctions ; individual rationality ; multi-dimensional types ; privacy preservation ; reserve prices ; VCG mechanism JEL codes: C72 ; D44 ; D47 ; D82;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:wrk:warwec:1249. 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: Margaret Nash (email available below). General contact details of provider: https://edirc.repec.org/data/dewaruk.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.