IDEAS home Printed from https://ideas.repec.org/a/bpj/bejtec/v10y2010i1n15.html
   My bibliography  Save this article

Collusive Behavior of Bidders in English Auctions: A Cooperative Game Theoretic Analysis

Author

Listed:
  • Oishi Takayuki

    (Kyoto University, oishi-t@gs.econ.keio.ac.jp)

Abstract

In practice, collusive bidders' rings in English auctions with a single object frequently distribute collusive gains among ring members via sequences of re-auctions called knockouts. The present paper introduces a model of sequences of knockouts under the situation in which each bidder has information on his evaluation and the order of the evaluations of all bidders for the object. The present paper examines the distributive function of sequences of knockouts from the viewpoint of cooperative game theory. Each sequence of knockouts yields an element of the core, two particular sequences yielding the Shapley value and the nucleolus respectively. The present paper highlights the sequence of knockouts yielding the nucleolus.

Suggested Citation

  • Oishi Takayuki, 2010. "Collusive Behavior of Bidders in English Auctions: A Cooperative Game Theoretic Analysis," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-15, April.
    • Handle: RePEc:bpj:bejtec:v:10:y:2010:i:1:n:15
    DOI: 10.2202/1935-1704.1603
    as

    Download full text from publisher

    File URL: https://doi.org/10.2202/1935-1704.1603
    Download Restriction: For access to full text, subscription to the journal or payment for the individual article is required.
    File URL: https://libkey.io/10.2202/1935-1704.1603?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. Graham, Daniel A & Marshall, Robert C & Richard, Jean-Francois, 1990. "Differential Payments within a Bidder Coalition and the Shapley Value," American Economic Review, American Economic Association, vol. 80(3), pages 493-510, June.
    2. McAfee, R Preston & McMillan, John, 1992. "Bidding Rings," American Economic Review, American Economic Association, vol. 82(3), pages 579-599, June.
      • McAfee, R. Preston & McMillan, John., 1990. "Bidding Rings," Working Papers 726, California Institute of Technology, Division of the Humanities and Social Sciences.
    3. SCHMEIDLER, David, 1969. "The nucleolus of a characteristic function game," LIDAM Reprints CORE 44, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Mailath, George J. & Zemsky, Peter, 1991. "Collusion in second price auctions with heterogeneous bidders," Games and Economic Behavior, Elsevier, vol. 3(4), pages 467-486, November.
    5. Graham, Daniel A & Marshall, Robert C, 1987. "Collusive Bidder Behavior at Single-Object Second-Price and English Auctions," Journal of Political Economy, University of Chicago Press, vol. 95(6), pages 1217-1239, December.
    6. Takayuki Oishi & Mikio Nakayama, 2009. "Anti‐Dual Of Economic Coalitional Tu Games," The Japanese Economic Review, Japanese Economic Association, vol. 60(4), pages 560-566, December.
    7. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, April.
    8. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    9. Milgrom,Paul, 2004. "Putting Auction Theory to Work," Cambridge Books, Cambridge University Press, number 9780521536721, September.
    Full references (including those not matched with items on IDEAS)

    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. Brânzei, R. & Fragnelli, V. & Meca, A. & Tijs, S.H., 2006. "Two Classes of Cooperative Games Related to One-Object Auction Situations," Discussion Paper 2006-25, Tilburg University, Center for Economic Research.
    2. Forges, Françoise & Orzach, Ram, 2011. "Core-stable rings in second price auctions with common values," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 760-767.
    3. Biran, Omer, 2011. "Mécanismes d'échange en présence d'externalités," Economics Thesis from University Paris Dauphine, Paris Dauphine University, number 123456789/7238 edited by Forges, Françoise.
    4. Rodney J. Garratt & Thomas Trˆger & Charles Z. Zheng, 2009. "Collusion via Resale," Econometrica, Econometric Society, vol. 77(4), pages 1095-1136, July.
    5. Marshall, Robert C. & Marx, Leslie M., 2007. "Bidder collusion," Journal of Economic Theory, Elsevier, vol. 133(1), pages 374-402, March.
    6. Lorentziadis, Panos L., 2016. "Optimal bidding in auctions from a game theory perspective," European Journal of Operational Research, Elsevier, vol. 248(2), pages 347-371.
    7. Che, Yeon-Koo & Kim, Jinwoo, 2009. "Optimal collusion-proof auctions," Journal of Economic Theory, Elsevier, vol. 144(2), pages 565-603, March.
    8. Troyan, Peter, 2017. "Collusion and signaling in auctions with interdependent values," Journal of Economic Theory, Elsevier, vol. 170(C), pages 319-345.
    9. Olga Gorelkina, 2014. "Bidder Collusion and the Auction with Target Bids," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2014_10, Max Planck Institute for Research on Collective Goods.
    10. Aoyagi, Masaki, 2003. "Bid rotation and collusion in repeated auctions," Journal of Economic Theory, Elsevier, vol. 112(1), pages 79-105, September.
    11. Florencia Gabrielli, 2014. "Econometrics of First Price Auctions: a Survey of the Theoretical and Applied Literature," Económica, Departamento de Economía, Facultad de Ciencias Económicas, Universidad Nacional de La Plata, vol. 60, pages 77-118, January-D.
    12. Biran, Omer & Forges, Françoise, 2011. "Core-stable rings in auctions with independent private values," Games and Economic Behavior, Elsevier, vol. 73(1), pages 52-64, September.
    13. Guth, Werner & Peleg, Bezalel, 1996. "On ring formation in auctions," Mathematical Social Sciences, Elsevier, vol. 32(1), pages 1-37, August.
    14. repec:dau:papers:123456789/7891 is not listed on IDEAS
    15. Biran, Omer, 2011. "Core stable bidding rings in independent private value auctions with externalities," MPRA Paper 32164, University Library of Munich, Germany.
    16. Omer Biran, 2013. "Strategic collusion in auctions with externalities," Theory and Decision, Springer, vol. 75(1), pages 117-136, July.
    17. Zhang, Wenzhang, 2022. "Collusion enforcement in repeated first-price auctions," Theoretical Economics, Econometric Society, vol. 17(4), November.
    18. Yokote, Koji & Funaki, Yukihiko & Kamijo, Yoshio, 2017. "Coincidence of the Shapley value with other solutions satisfying covariance," Mathematical Social Sciences, Elsevier, vol. 89(C), pages 1-9.
    19. Deng, Shanglyu, 2023. "Speculation in procurement auctions," Journal of Economic Theory, Elsevier, vol. 212(C).
    20. Ariane Lambert‐Mogiliansky & Konstantin Sonin, 2006. "Collusive Market Sharing and Corruption in Procurement," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 15(4), pages 883-908, December.
    21. Kaplan, Uma & Marmer, Vadim & Shneyerov, Artyom, 2016. "Identifying Collusion in English Auctions," Microeconomics.ca working papers vadim_marmer-2016-3, Vancouver School of Economics, revised 08 Jul 2017.

    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:bpj:bejtec:v:10:y:2010:i:1:n:15. 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: Peter Golla (email available below). General contact details of provider: https://www.degruyter.com .

    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.