IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v56y2008i1p102-120.html
   My bibliography  Save this article

Truthful Double Auction Mechanisms

Author

Listed:
  • Leon Yang Chu

    (Marshall School of Business, University of Southern California, Los Angeles, California 90089)

  • Zuo-Jun Max Shen

    (Department of Industrial Engineering and Operations Research, University of California, Berkeley, California 94720)

Abstract

Following the multistage design approach, we propose two asymptotically efficient truthful double auction mechanisms, the BC-LP mechanism and the MBC mechanism, for an exchange market with many buyers and sellers. In this market, each buyer wants to procure a bundle of commodities and each seller supplies one unit of a commodity. Furthermore, various transaction-related costs will be incurred when a buyer trades with a seller. We prove that under both mechanisms, truthful bidding is a dominant strategy for all buyers and sellers when the buyers' bundle information and the transaction cost information are common knowledge. The BC-LP mechanism can be implemented by just solving two linear programs, whereas the MBC mechanism has a higher complexity. The empirical study shows that the MBC mechanism achieves higher efficiency over the BC-LP mechanism and that both outperform the KSM-TR mechanism, the only known truthful mechanism for a more restrictive exchange market.

Suggested Citation

  • Leon Yang Chu & Zuo-Jun Max Shen, 2008. "Truthful Double Auction Mechanisms," Operations Research, INFORMS, vol. 56(1), pages 102-120, February.
  • Handle: RePEc:inm:oropre:v:56:y:2008:i:1:p:102-120
    DOI: 10.1287/opre.1070.0458
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.1070.0458
    Download Restriction: no

    File URL: https://libkey.io/10.1287/opre.1070.0458?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
    ---><---

    References listed on IDEAS

    as
    1. Chu, Leon Yang & Shen, Zuo-Jun Max, 2007. "Trade reduction vs. multi-stage: A comparison of double auction design approaches," European Journal of Operational Research, Elsevier, vol. 180(2), pages 677-691, July.
    2. Myerson, Roger B. & Satterthwaite, Mark A., 1983. "Efficient mechanisms for bilateral trading," Journal of Economic Theory, Elsevier, vol. 29(2), pages 265-281, April.
    3. Edward Clarke, 1971. "Multipart pricing of public goods," Public Choice, Springer, vol. 11(1), pages 17-33, September.
    4. McAfee, R. Preston, 1992. "A dominant strategy double auction," Journal of Economic Theory, Elsevier, vol. 56(2), pages 434-450, April.
    5. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    6. Jérémie Gallien & Lawrence M. Wein, 2005. "A Smart Market for Industrial Procurement with Capacity Constraints," Management Science, INFORMS, vol. 51(1), pages 76-91, January.
    7. Leon Yang Chu & Zuo-Jun Max Shen, 2006. "Agent Competition Double-Auction Mechanism," Management Science, INFORMS, vol. 52(8), pages 1215-1222, August.
    8. Rachel R. Chen & Robin O. Roundy & Rachel Q. Zhang & Ganesh Janakiraman, 2005. "Efficient Auction Mechanisms for Supply Chain Procurement," Management Science, INFORMS, vol. 51(3), pages 467-482, March.
    9. 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.
    10. Damian R. Beil & Lawrence M. Wein, 2003. "An Inverse-Optimization-Based Auction Mechanism to Support a Multiattribute RFQ Process," Management Science, INFORMS, vol. 49(11), pages 1529-1545, November.
    11. Wedad Elmaghraby, 2003. "The Importance of Ordering in Sequential Auctions," Management Science, INFORMS, vol. 49(5), pages 673-682, May.
    12. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-631, July.
    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. Leon Yang Chu, 2009. "Truthful Bundle/Multiunit Double Auctions," Management Science, INFORMS, vol. 55(7), pages 1184-1198, July.
    2. Xiao, Haohan & Xu, Meng & Gao, Ziyou, 2018. "Shared parking problem: A novel truthful double auction mechanism approach," Transportation Research Part B: Methodological, Elsevier, vol. 109(C), pages 40-69.
    3. Liang, Renchao & Wang, Junwei & Huang, Min & Jiang, Zhong-Zhong, 2020. "Truthful auctions for e-market logistics services procurement with quantity discounts," Transportation Research Part B: Methodological, Elsevier, vol. 133(C), pages 165-180.
    4. Ding, Xiaoshu & Qi, Qi & Jian, Sisi, 2024. "Truthful online double auctions for on-demand integrated ride-sourcing platforms," European Journal of Operational Research, Elsevier, vol. 317(3), pages 737-747.
    5. Yiting Xing & Ling Li & Zhuming Bi & Marzena Wilamowska‐Korsak & Li Zhang, 2013. "Operations Research (OR) in Service Industries: A Comprehensive Review," Systems Research and Behavioral Science, Wiley Blackwell, vol. 30(3), pages 300-353, May.
    6. Ying-Ju Chen, 2011. "Optimal Selling Scheme for Heterogeneous Consumers with Uncertain Valuations," Mathematics of Operations Research, INFORMS, vol. 36(4), pages 695-720, November.
    7. Cem Ozturk, O. & Karabatı, Selçuk, 2017. "A decision support framework for evaluating revenue performance in sequential purchase contexts," European Journal of Operational Research, Elsevier, vol. 263(3), pages 922-934.
    8. Xu, Su Xiu & Cheng, Meng & Huang, George Q., 2015. "Efficient intermodal transportation auctions for B2B e-commerce logistics with transaction costs," Transportation Research Part B: Methodological, Elsevier, vol. 80(C), pages 322-337.
    9. Huang, George Q. & Xu, Su Xiu, 2013. "Truthful multi-unit transportation procurement auctions for logistics e-marketplaces," Transportation Research Part B: Methodological, Elsevier, vol. 47(C), pages 127-148.
    10. Jiasen Sun & Guo Li, 2020. "Designing a double auction mechanism for the re-allocation of emission permits," Annals of Operations Research, Springer, vol. 291(1), pages 847-874, August.
    11. Xiao, Haohan & Xu, Meng & Yang, Hai, 2020. "Pricing strategies for shared parking management with double auction approach: Differential price vs. uniform price," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 136(C).
    12. Behzad Hezarkhani & Greys Sošić, 2019. "Who’s Afraid of Strategic Behavior? Mechanisms for Group Purchasing," Production and Operations Management, Production and Operations Management Society, vol. 28(4), pages 933-954, April.
    13. Cheng, Meng & Xu, Su Xiu & Huang, George Q., 2016. "Truthful multi-unit multi-attribute double auctions for perishable supply chain trading," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 93(C), pages 21-37.
    14. Xu, Su Xiu & Huang, George Q., 2013. "Transportation service procurement in periodic sealed double auctions with stochastic demand and supply," Transportation Research Part B: Methodological, Elsevier, vol. 56(C), pages 136-160.
    15. Sun, Jiasen & Li, Guo & Xu, Su Xiu & Dai, Wei, 2019. "Intermodal transportation service procurement with transaction costs under belt and road initiative," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 127(C), pages 31-48.
    16. Yu, Hao & Huang, Min & Chao, Xiuli & Yue, Xiaohang, 2022. "Truthful multi-attribute multi-unit double auctions for B2B e-commerce logistics service transactions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 164(C).
    17. Guo, Jiantao & Zhang, Juliang & Cheng, T.C.E. & Zhao, Shouting, 2022. "Truthful double auction mechanisms for online freight platforms with transaction costs," Transportation Research Part B: Methodological, Elsevier, vol. 158(C), pages 164-186.
    18. Bin Hu & Anyan Qi, 2018. "Optimal Procurement Mechanisms for Assembly," Manufacturing & Service Operations Management, INFORMS, vol. 20(4), pages 655-666, October.
    19. Jorge Barrera & Alfredo Garcia, 2015. "Auction Design for the Efficient Allocation of Service Capacity Under Congestion," Operations Research, INFORMS, vol. 63(1), pages 151-165, February.

    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. Leon Yang Chu, 2009. "Truthful Bundle/Multiunit Double Auctions," Management Science, INFORMS, vol. 55(7), pages 1184-1198, July.
    2. Xiao, Haohan & Xu, Meng & Gao, Ziyou, 2018. "Shared parking problem: A novel truthful double auction mechanism approach," Transportation Research Part B: Methodological, Elsevier, vol. 109(C), pages 40-69.
    3. 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.
    4. 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.
    5. Yu, Hao & Huang, Min & Chao, Xiuli & Yue, Xiaohang, 2022. "Truthful multi-attribute multi-unit double auctions for B2B e-commerce logistics service transactions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 164(C).
    6. Loertscher, Simon & Mezzetti, Claudio, 2021. "A dominant strategy, double clock auction with estimation-based tatonnement," Theoretical Economics, Econometric Society, vol. 16(3), July.
    7. 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.
    8. Babaioff, Moshe & Nisan, Noam & Pavlov, Elan, 2009. "Mechanisms for a spatially distributed market," Games and Economic Behavior, Elsevier, vol. 66(2), pages 660-684, July.
    9. Rica Gonen & Erel Segal-Halevi, 2019. "Strongly Budget Balanced Auctions for Multi-Sided Markets," Papers 1911.08094, arXiv.org, revised Dec 2019.
    10. Yoon, Kiho, 2001. "The Modified Vickrey Double Auction," Journal of Economic Theory, Elsevier, vol. 101(2), pages 572-584, December.
    11. Tafreshian, Amirmahdi & Masoud, Neda, 2022. "A truthful subsidy scheme for a peer-to-peer ridesharing market with incomplete information," Transportation Research Part B: Methodological, Elsevier, vol. 162(C), pages 130-161.
    12. Yoon, Kiho, 2008. "The participatory Vickrey-Clarke-Groves mechanism," Journal of Mathematical Economics, Elsevier, vol. 44(3-4), pages 324-336, February.
    13. Dilip Mookherjee, 2008. "The 2007 Nobel Memorial Prize in Mechanism Design Theory," Scandinavian Journal of Economics, Wiley Blackwell, vol. 110(2), pages 237-260, June.
    14. Leon Yang Chu & Zuo-Jun Max Shen, 2006. "Agent Competition Double-Auction Mechanism," Management Science, INFORMS, vol. 52(8), pages 1215-1222, August.
    15. Bin Li & Dong Hao & Dengji Zhao & Tao Zhou, 2018. "Customer Sharing in Economic Networks with Costs," Papers 1807.06822, arXiv.org.
    16. David C. Parkes & Jayant Kalagnanam, 2005. "Models for Iterative Multiattribute Procurement Auctions," Management Science, INFORMS, vol. 51(3), pages 435-451, March.
    17. Schellhorn, Henry, 2009. "A double-sided multiunit combinatorial auction for substitutes: Theory and algorithms," European Journal of Operational Research, Elsevier, vol. 197(2), pages 799-808, September.
    18. Liang, Renchao & Wang, Junwei & Huang, Min & Jiang, Zhong-Zhong, 2020. "Truthful auctions for e-market logistics services procurement with quantity discounts," Transportation Research Part B: Methodological, Elsevier, vol. 133(C), pages 165-180.
    19. 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.
    20. Henry Schellhorn, 2004. "A Double-Sided Multiunit Combinatorial Auction for Substitutes: Theory and Algorithms," FAME Research Paper Series rp123, International Center for Financial Asset Management and Engineering.

    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:inm:oropre:v:56:y:2008:i:1:p:102-120. 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.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.