IDEAS home Printed from https://ideas.repec.org/p/tiu/tiucen/49292c72-515d-42f4-a0d4-c5a3958527b3.html
   My bibliography  Save this paper

An Efficient Multi-Item Dynamic Auction with Budget Constrained Bidders

Author

Listed:
  • Talman, A.J.J.

    (Tilburg University, Center For Economic Research)

  • Yang, Z.F.

Abstract

An auctioneer wishes to sell several heterogeneous indivisible items to a group of potential bidders. Each bidder has valuations over the items but might face a budget constraint and may therefore not be able to pay up to his values. In such markets, a competitive equilibrium typically fails to exist. We develop a novel dynamic auction and prove that the auction always ï¬ nds a core allocation. The core allocation consists of an assignment of the items and its associated supporting price vector and is Pareto efficient.
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Talman, A.J.J. & Yang, Z.F., 2011. "An Efficient Multi-Item Dynamic Auction with Budget Constrained Bidders," Discussion Paper 2011-096, Tilburg University, Center for Economic Research.
  • Handle: RePEc:tiu:tiucen:49292c72-515d-42f4-a0d4-c5a3958527b3
    as

    Download full text from publisher

    File URL: https://pure.uvt.nl/ws/portalfiles/portal/1348461/2011-096.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Andersson, Tommy & Erlanson, Albin, 2013. "Multi-item Vickrey–English–Dutch auctions," Games and Economic Behavior, Elsevier, vol. 81(C), pages 116-129.
    2. Paul Milgrom, 2000. "Putting Auction Theory to Work: The Simultaneous Ascending Auction," Journal of Political Economy, University of Chicago Press, vol. 108(2), pages 245-272, April.
    3. 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.
    4. Crawford, Vincent P & Knoer, Elsie Marie, 1981. "Job Matching with Heterogeneous Firms and Workers," Econometrica, Econometric Society, vol. 49(2), pages 437-450, March.
    5. Pitchik, Carolyn, 2009. "Budget-constrained sequential auctions with incomplete information," Games and Economic Behavior, Elsevier, vol. 66(2), pages 928-949, July.
    6. Aytek Erdil & Paul Klemperer, 2010. "A New Payment Rule for Core-Selecting Package Auctions," Journal of the European Economic Association, MIT Press, vol. 8(2-3), pages 537-547, 04-05.
    7. Sandro Brusco & Giuseppe Lopomo, 2008. "Budget Constraints And Demand Reduction In Simultaneous Ascending‐Bid Auctions," Journal of Industrial Economics, Wiley Blackwell, vol. 56(1), pages 113-142, March.
    8. B. Douglas Bernheim & Michael D. Whinston, 1986. "Menu Auctions, Resource Allocation, and Economic Influence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 101(1), pages 1-31.
    9. Jean-Pierre Benoît & Vijay Krishna, 2001. "Multiple-Object Auctions with Budget Constrained Bidders," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(1), pages 155-179.
    10. Krishna, Vijay, 2009. "Auction Theory," Elsevier Monographs, Elsevier, edition 2, number 9780123745071.
    11. Ausubel Lawrence M & Milgrom Paul R, 2002. "Ascending Auctions with Package Bidding," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 1(1), pages 1-44, August.
    12. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
    13. Gul, Faruk & Stacchetti, Ennio, 2000. "The English Auction with Differentiated Commodities," Journal of Economic Theory, Elsevier, vol. 92(1), pages 66-95, May.
    14. Zheng, Charles Z., 2001. "High Bids and Broke Winners," Journal of Economic Theory, Elsevier, vol. 100(1), pages 129-171, September.
    15. Yeon-Koo Che & Ian Gale, 1998. "Standard Auctions with Financially Constrained Bidders," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 65(1), pages 1-21.
    16. A. Talman & Zaifu Yang, 2015. "An efficient multi-item dynamic auction with budget constrained bidders," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(3), pages 769-784, August.
    17. 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.
    18. Maskin, Eric S., 2000. "Auctions, development, and privatization: Efficient auctions with liquidity-constrained buyers," European Economic Review, Elsevier, vol. 44(4-6), pages 667-681, May.
    19. Predtetchinski, Arkadi & Jean-Jacques Herings, P., 2004. "A necessary and sufficient condition for non-emptiness of the core of a non-transferable utility game," Journal of Economic Theory, Elsevier, vol. 116(1), pages 84-92, May.
    20. Paul Klemperer, 2004. "Auctions: Theory and Practice," Online economics textbooks, SUNY-Oswego, Department of Economics, number auction1.
    21. Robert Day & Paul Milgrom, 2008. "Core-selecting package auctions," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(3), pages 393-407, March.
    22. Milgrom,Paul, 2004. "Putting Auction Theory to Work," Cambridge Books, Cambridge University Press, number 9780521536721, November.
    23. Demange, Gabrielle & Gale, David & Sotomayor, Marilda, 1986. "Multi-Item Auctions," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 863-872, August.
    24. 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.
    25. Paul Klemperer, 2004. "Auctions: Theory and Practice," Online economics textbooks, SUNY-Oswego, Department of Economics, number auction1.
    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. Zhou, Yu, 2017. "A multi-item auction with budget-constrained bidders and price controls," Economics Letters, Elsevier, vol. 155(C), pages 76-79.
    2. 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.
    3. A. Talman & Zaifu Yang, 2015. "An efficient multi-item dynamic auction with budget constrained bidders," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(3), pages 769-784, August.
    4. P. Jean‐Jacques Herings & Yu Zhou, 2022. "Competitive Equilibria In Matching Models With Financial Constraints," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 63(2), pages 777-802, May.
    5. Gerard van der Laan & Dolf Talman & Zaifu Yang, 2018. "Equilibrium in the Assignment Market under Budget Constraints," Discussion Papers 18/17, Department of Economics, University of York.
    6. Andrew MACKENZIE & Yu ZHOU, 2022. "Tract Housing, The Core, And Pendulum Auctions," Discussion papers e-22-005, Graduate School of Economics , Kyoto University.
    7. Jianxin Rong & Ning Sun & Dazhong Wang, 2019. "A New Evaluation Criterion for Allocation Mechanisms with Application to Vehicle License Allocations in China," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 4(1), pages 39-86, November.
    8. Zaifu Yang & Jingsheng Yu, 2018. "Efficient Ascending Menu Auctions with Budget Constrained Bidders," Discussion Papers 18/09, Department of Economics, University of York.

    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. Zaifu Yang & Jingsheng Yu, 2018. "Efficient Ascending Menu Auctions with Budget Constrained Bidders," Discussion Papers 18/09, Department of Economics, University of York.
    2. 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.
    3. Satoru Fujishige & Zaifu Yang, 2017. "On a spontaneous decentralized market process," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 2(1), pages 1-37, December.
    4. Gerard van der Laan & Dolf Talman & Zaifu Yang, 2018. "Equilibrium in the Assignment Market under Budget Constraints," Discussion Papers 18/17, Department of Economics, University of York.
    5. Kaplan, Todd R. & Zamir, Shmuel, 2015. "Advances in Auctions," Handbook of Game Theory with Economic Applications,, Elsevier.
    6. 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.
    7. 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.
    8. Zhou, Yu & Serizawa, Shigehiro, 2023. "Multi-object auction design beyond quasi-linearity: Leading examples," Games and Economic Behavior, Elsevier, vol. 140(C), pages 210-228.
    9. Satoru Fujishige & Zaifu Yang, 2015. "Decentralised Random Competitive Dynamic Market Processes," Discussion Papers 15/27, Department of Economics, University of York.
    10. Andersson, Tommy & Yang, Zaifu & Zhang, Dongmo, 2015. "How to efficiently allocate houses under price controls?," Economics Letters, Elsevier, vol. 130(C), pages 97-99.
    11. Akiyoshi Shioura & Zaifu Yang, 2013. "Equilibrium, Auction, Multiple Substitutes and Complements," Discussion Papers 13/17, Department of Economics, University of York.
    12. Ning Sun & Zaifu Yang, 2008. "A Double-Track Auction for Substitutes and Complements," KIER Working Papers 656, Kyoto University, Institute of Economic Research.
    13. Ning Sun & Zaifu Yang, 2016. "A Theory of Marriage with Mutually Consented Divorces," Discussion Papers 16/14, Department of Economics, University of York.
    14. Li, Yunan, 2017. "Approximation in mechanism design with interdependent values," Games and Economic Behavior, Elsevier, vol. 103(C), pages 225-253.
    15. Scott Duke Kominers & Alexander Teytelboym & Vincent P Crawford, 2017. "An invitation to market design," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 33(4), pages 541-571.
    16. Laurent Lamy, 2009. "Ascending auctions: some impossibility results and their resolutions with final price discounts," PSE Working Papers halshs-00575076, HAL.
    17. Talman, Dolf & Yang, Zaifu, 2011. "A model of partnership formation," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 206-212, March.
    18. Ingebretsen Carlson, Jim, 2016. "An Auction with Approximated Bidder Preferences - When an Auction has to be Quick," Working Papers 2016:12, Lund University, Department of Economics.
    19. Peter Cramton, 2013. "Spectrum Auction Design," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 42(2), pages 161-190, March.
    20. Sun, Ning & Yang, Zaifu, 2016. "An Efficient and Strategy-Proof Double-Track Auction for Substitutes and Complements," Center for Mathematical Economics Working Papers 523, Center for Mathematical Economics, Bielefeld University.

    More about this item

    Keywords

    Dynamic auction; budget constraint; core;
    All these keywords.

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

    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:tiu:tiucen:49292c72-515d-42f4-a0d4-c5a3958527b3. 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: Richard Broekman (email available below). General contact details of provider: http://center.uvt.nl .

    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.