IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v54y2008i9p1610-1623.html
   My bibliography  Save this article

Revenue Ranking of Discriminatory and Uniform Auctions with an Unknown Number of Bidders

Author

Listed:
  • Aleksandar Saša Pekev{c}

    (The Fuqua School of Business, Duke University, Durham, North Carolina 27708)

  • Ilia Tsetlin

    (INSEAD, 138676 Singapore)

Abstract

An important managerial question is the choice of the pricing rule. We study whether this choice depends on the uncertainty about the number of participating bidders by comparing expected revenues under discriminatory and uniform pricing within an auction model with affiliated values, stochastic number of bidders, and linear bidding strategies. We show that if uncertainty about the number of bidders is substantial, then the discriminatory pricing generates higher expected revenues than the uniform pricing. In particular, the first-price auction might generate higher revenues than the second-price auction. Therefore, uncertainty about the number of bidders is an important factor to consider when choosing the pricing rule. We also study whether eliminating this uncertainty, i.e., revealing the number of bidders, is in the seller's interests, and discuss the existence of an increasing symmetric equilibrium.

Suggested Citation

  • Aleksandar Saša Pekev{c} & Ilia Tsetlin, 2008. "Revenue Ranking of Discriminatory and Uniform Auctions with an Unknown Number of Bidders," Management Science, INFORMS, vol. 54(9), pages 1610-1623, September.
  • Handle: RePEc:inm:ormnsc:v:54:y:2008:i:9:p:1610-1623
    DOI: 10.1287/mnsc.1080.0882
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.1080.0882
    Download Restriction: no

    File URL: https://libkey.io/10.1287/mnsc.1080.0882?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. Paul Klemperer, 1999. "Auction Theory: A Guide to the Literature," Journal of Economic Surveys, Wiley Blackwell, vol. 13(3), pages 227-286, July.
    2. Milgrom, Paul R, 1981. "Rational Expectations, Information Acquisition, and Competitive Bidding," Econometrica, Econometric Society, vol. 49(4), pages 921-943, June.
    3. Samuelson, William F., 1985. "Competitive bidding with entry costs," Economics Letters, Elsevier, vol. 17(1-2), pages 53-57.
    4. Ashish Arora & Amy Greenwald & Karthik Kannan & Ramayya Krishnan, 2007. "Effects of Information-Revelation Policies Under Market-Structure Uncertainty," Management Science, INFORMS, vol. 53(8), pages 1234-1248, August.
    5. R. Preston McAfee & Daniel C. Quan & Daniel R. Vincent, 2002. "How to Set Minimum Acceptable Bids, with an Application to Real Estate Auctions," Journal of Industrial Economics, Wiley Blackwell, vol. 50(4), pages 391-416, December.
    6. Matthews, Steven, 1987. "Comparing Auctions for Risk Averse Buyers: A Buyer's Point of View," Econometrica, Econometric Society, vol. 55(3), pages 633-646, May.
    7. Arthur M. Geoffrion & Ramayya Krishnan, 2003. "E-Business and Management Science: Mutual Impacts (Part 1 of 2)," Management Science, INFORMS, vol. 49(10), pages 1275-1286, October.
    8. Kagel, John H & Harstad, Ronald M & Levin, Dan, 1987. "Information Impact and Allocation Rules in Auctions with Affiliated Private Values: A Laboratory Study," Econometrica, Econometric Society, vol. 55(6), pages 1275-1304, November.
    9. Harstad, Ronald M, 1990. "Alternative Common-Value Auction Procedures: Revenue Comparisons with Free Entry," Journal of Political Economy, University of Chicago Press, vol. 98(2), pages 421-429, April.
    10. Levin, Dan & Ozdenoren, Emre, 2004. "Auctions with uncertain numbers of bidders," Journal of Economic Theory, Elsevier, vol. 118(2), pages 229-251, October.
    11. Harstad, Ronald M. & Kagel, John H. & Levin, Dan, 1990. "Equilibrium bid functions for auctions with an uncertain number of bidders," Economics Letters, Elsevier, vol. 33(1), pages 35-40, May.
    12. Maskin, Eric S & Riley, John G, 1984. "Optimal Auctions with Risk Averse Buyers," Econometrica, Econometric Society, vol. 52(6), pages 1473-1518, November.
    13. McAfee, R. Preston & McMillan, John, 1987. "Auctions with a stochastic number of bidders," Journal of Economic Theory, Elsevier, vol. 43(1), pages 1-19, October.
    14. Michael H. Rothkopf, 1969. "A Model of Rational Competitive Bidding," Management Science, INFORMS, vol. 15(7), pages 362-373, March.
    15. Matthew O. Jackson & Ilan Kremer, 2006. "The Relevance of a Choice of Auction Format in a Competitive Environment," Review of Economic Studies, Oxford University Press, vol. 73(4), pages 961-981.
    16. Richard Engelbrecht-Wiggans, 1987. "On Optimal Reservation Prices in Auctions," Management Science, INFORMS, vol. 33(6), pages 763-770, June.
    17. Wolfgang Pesendorfer & Jeroen M. Swinkels, 1997. "The Loser's Curse and Information Aggregation in Common Value Auctions," Econometrica, Econometric Society, vol. 65(6), pages 1247-1282, November.
    18. Kenneth Hendricks & Joris Pinkse & Robert H. Porter, 2003. "Empirical Implications of Equilibrium Bidding in First-Price, Symmetric, Common Value Auctions," Review of Economic Studies, Oxford University Press, vol. 70(1), pages 115-145.
    19. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    20. Michael H. Rothkopf & Ronald M. Harstad, 1994. "Modeling Competitive Bidding: A Critical Essay," Management Science, INFORMS, vol. 40(3), pages 364-384, March.
    21. Harstad, Ronald M. & Pekec, Aleksandar Sasa & Tsetlin, Ilia, 2008. "Information aggregation in auctions with an unknown number of bidders," Games and Economic Behavior, Elsevier, vol. 62(2), pages 476-508, March.
    22. Arthur M. Geoffrion & Ramayya Krishnan, 2003. "E-Business and Management Science: Mutual Impacts (Part 2 of 2)," Management Science, INFORMS, vol. 49(11), pages 1445-1456, November.
    23. Robert B. Wilson, 1969. "Communications to the Editor--Competitive Bidding with Disparate Information," Management Science, INFORMS, vol. 15(7), pages 446-452, March.
    24. Parlour, Christine A. & Prasnikar, Vesna & Rajan, Uday, 2007. "Compensating for the winner's curse: Experimental evidence," Games and Economic Behavior, Elsevier, vol. 60(2), pages 339-356, August.
    25. G. Anandalingam & Robert W. Day & S. Raghavan, 2005. "The Landscape of Electronic Market Design," Management Science, INFORMS, vol. 51(3), pages 316-327, March.
    26. Klemperer, Paul, 1999. " Auction Theory: A Guide to the Literature," Journal of Economic Surveys, Wiley Blackwell, vol. 13(3), pages 227-86, 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. Ronald M. Harstad & Aleksandar Saša Pekeč, 2008. "Relevance to Practice and Auction Theory: A Memorial Essay for Michael Rothkopf," Interfaces, INFORMS, vol. 38(5), pages 367-380, October.
    2. Bos, Olivier, 2012. "Wars of attrition and all-pay auctions with stochastic competition," Journal of Mathematical Economics, Elsevier, vol. 48(2), pages 83-91.
    3. Li, Zhen & Yue, Jinfeng & Kuo, Ching-Chung, 2018. "Design of discrete Dutch auctions with consideration of time," European Journal of Operational Research, Elsevier, vol. 265(3), pages 1159-1171.
    4. Zhen Li & Ching-Chung Kuo, 2013. "Design of discrete Dutch auctions with an uncertain number of bidders," Annals of Operations Research, Springer, vol. 211(1), pages 255-272, December.
    5. Li, Zhen & Kuo, Ching-Chung, 2011. "Revenue-maximizing Dutch auctions with discrete bid levels," European Journal of Operational Research, Elsevier, vol. 215(3), pages 721-729, December.
    6. Cong, Rong-Gang & Wei, Yi-Ming, 2012. "Experimental comparison of impact of auction format on carbon allowance market," Renewable and Sustainable Energy Reviews, Elsevier, vol. 16(6), pages 4148-4156.
    7. Bagchi, Aniruddha & Aliyas Paul, Jomon & Maloni, Michael, 2011. "Improving bid efficiency for humanitarian food aid procurement," International Journal of Production Economics, Elsevier, vol. 134(1), pages 238-245, November.

    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. Ronald M. Harstad & Aleksandar Saša Pekeč, 2008. "Relevance to Practice and Auction Theory: A Memorial Essay for Michael Rothkopf," Interfaces, INFORMS, vol. 38(5), pages 367-380, October.
    2. Ronald M. Harstad, 2005. "Rational Participation Revolutionizes Auction Theory," Working Papers 0504, Department of Economics, University of Missouri.
    3. 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.
    4. Haile,P.A., 1999. "Auctions with resale," Working papers 33, Wisconsin Madison - Social Systems.
    5. Committee, Nobel Prize, 2020. "Improvements to auction theory and inventions of new auction formats," Nobel Prize in Economics documents 2020-2, Nobel Prize Committee.
    6. Kashyap, Ravi, 2018. "Auction theory adaptations for real life applications," Research in Economics, Elsevier, vol. 72(4), pages 452-481.
    7. Laffont, Jean-Jacques, 1997. "Game theory and empirical economics: The case of auction data 1," European Economic Review, Elsevier, vol. 41(1), pages 1-35, January.
    8. Jacob K. Goeree & Theo Offerman, 2003. "Competitive Bidding in Auctions with Private and Common Values," Economic Journal, Royal Economic Society, vol. 113(489), pages 598-613, July.
    9. Ronald M. Harstad, 2007. "Does a Seller Really Want Another Bidder?," Working Papers 0711, Department of Economics, University of Missouri.
    10. Xu, Xiaoshu & Levin, Dan & Ye, Lixin, 2013. "Auctions with entry and resale," Games and Economic Behavior, Elsevier, vol. 79(C), pages 92-105.
    11. Harstad, Ronald M. & Pekec, Aleksandar Sasa & Tsetlin, Ilia, 2008. "Information aggregation in auctions with an unknown number of bidders," Games and Economic Behavior, Elsevier, vol. 62(2), pages 476-508, March.
    12. Tong Li & Xiaoyong Zheng, 2009. "Entry and Competition Effects in First-Price Auctions: Theory and Evidence from Procurement Auctions," Review of Economic Studies, Oxford University Press, vol. 76(4), pages 1397-1429.
    13. Yili Hong & Chong (Alex) Wang & Paul A. Pavlou, 2016. "Comparing Open and Sealed Bid Auctions: Evidence from Online Labor Markets," Information Systems Research, INFORMS, vol. 27(1), pages 49-69, March.
    14. Vleugels, Jan, 1997. "Bidding against an unknown number of competitors sharing affiliated information," Papers 97-13, Sonderforschungsbreich 504.
    15. Ravi Kashyap, 2018. "Auction Theory Adaptations for Real Life Applications," Papers 1810.01736, arXiv.org, revised May 2019.
    16. Haile, Philip A., 2003. "Auctions with private uncertainty and resale opportunities," Journal of Economic Theory, Elsevier, vol. 108(1), pages 72-110, January.
    17. Murto, Pauli & Välimäki, Juuso, 2015. "Large common value auctions with risk averse bidders," Games and Economic Behavior, Elsevier, vol. 91(C), pages 60-74.
    18. Garrett van Ryzin & Gustavo Vulcano, 2004. "Optimal Auctioning and Ordering in an Infinite Horizon Inventory-Pricing System," Operations Research, INFORMS, vol. 52(3), pages 346-367, June.
    19. Patrick Bajari & Ali Hortacsu, 2003. "Economic Insights from Internet Auctions: A Survey," NBER Working Papers 10076, National Bureau of Economic Research, Inc.
    20. Diego Aycinena & Lucas Rentschler, 2018. "Auctions with endogenous participation and an uncertain number of bidders: experimental evidence," Experimental Economics, Springer;Economic Science Association, vol. 21(4), pages 924-949, December.

    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:ormnsc:v:54:y:2008:i:9:p:1610-1623. 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: . General contact details of provider: https://edirc.repec.org/data/inforea.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 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: Matthew Walls (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 hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.