IDEAS home Printed from https://ideas.repec.org/p/red/sed005/866.html
   My bibliography  Save this paper

Optimal Auction Design For Multiple Objects with Externalities

Author

Listed:
  • Vasiliki Skreta
  • Nicolas Figueroa

Abstract

In this paper we characterize the optimal allocation mechanism for $N$ objects, (permits), to $I$ potential buyers, (firms). Firms' payoffs depend on their costs, the costs of competitors and on the final allocation of the permits, allowing for externalities, substitutabilities and complementarities. Firms' cost parameter is private information and is independently distributed across firms. Externalities are type dependent. This has two consequences: first, even though the private information of each firm is one dimensional (its cost), an allocation's virtual valuation (the natural generalization of the virtual valuation introduced in (Myerson (1981) depends on the cost parameters of all firms. Second, the "critical" type of each buyer, (the type for which participation constraint binds) is not exogenously given but depends on the particular mechanism selected. This is not as in the papers by Jehiel, Moldovanu and Stacchetti 1996, 2001, and makes the characterization of the optimum intricate, since the objective function is altered. However, the feasibility constraints remain tractable, which makes the use of variational methods possible. A further consequence of having type-dependent externalities, which does not arise in the previous work, is that not only payments, but also the revenue maximizing allocation is different from the optimum derived without taking into account the existence of externalities. Our model captures key features of many important multi-object allocation problems like the allocation of time slots for TV commercials, landing slots in airports, privatization and firm takeovers
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Vasiliki Skreta & Nicolas Figueroa, 2005. "Optimal Auction Design For Multiple Objects with Externalities," 2005 Meeting Papers 866, Society for Economic Dynamics.
  • Handle: RePEc:red:sed005:866
    as

    Download full text from publisher

    File URL: http://www.econ.ucla.edu/skreta/research.htm
    File Function: main text
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Jehiel, Philippe & Moldovanu, Benny & Stacchetti, Ennio, 1996. "How (Not) to Sell Nuclear Weapons," American Economic Review, American Economic Association, vol. 86(4), pages 814-829, September.
    2. Mark Armstrong, 2000. "Optimal Multi-Object Auctions," Review of Economic Studies, Oxford University Press, vol. 67(3), pages 455-481.
    3. Paul R. Milgrom, 1985. "Auction Theory," Cowles Foundation Discussion Papers 779, Cowles Foundation for Research in Economics, Yale University.
    4. Dana, James Jr. & Spier, Kathryn E., 1994. "Designing a private industry : Government auctions with endogenous market structure," Journal of Public Economics, Elsevier, vol. 53(1), pages 127-147, January.
    5. Gale, Ian, 1990. "A multiple-object auction with superadditive values," Economics Letters, Elsevier, vol. 34(4), pages 323-328, December.
    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. Kumru, Cagri & Yektas, Hadi, 2008. "Optimal Multi-Object Auctions with Risk Averse Buyers," MPRA Paper 7575, University Library of Munich, Germany.
    2. Jehiel, Philippe & Moldovanu, Benny, 2005. "Allocative and Informational Externalities in Auctions and Related Mechanisms," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 142, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    3. Todd R. Kaplan & Shmuel Zamir, 2014. "Advances in Auctions," Discussion Papers 1405, Exeter University, Department of Economics.

    More about this item

    Keywords

    Optimal Auctions; Multiple Objects; Externalities; Mechanism Design;

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

    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:red:sed005:866. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Christian Zimmermann). General contact details of provider: http://edirc.repec.org/data/sedddea.html .

    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 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.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.