IDEAS home Printed from https://ideas.repec.org/p/zbw/ifwedp/201319.html
   My bibliography  Save this paper

Reserve price when bidders are asymmetric

Author

Listed:
  • Gunay, Hikmet
  • Meng, Xin
  • Nagelberg, Mark

Abstract

The authors analyze the optimal reserve price in a second price auction when there are N types of bidders whose valuations are drawn from different distribution functions. The seller cannot determine the specific type of each bidder. First, the authors show that the number of bidders affects the reserve price. Second, they give the sufficient conditions for the uniqueness of the optimal reserve price. Third, the authors find that if a bidder is replaced by a stronger bidder, the optimal reserve price may decrease. Finally, they give sufficient conditions that ensure the seller will not use a reserve price; hence, the auction will be efficient.

Suggested Citation

  • Gunay, Hikmet & Meng, Xin & Nagelberg, Mark, 2013. "Reserve price when bidders are asymmetric," Economics Discussion Papers 2013-19, Kiel Institute for the World Economy (IfW Kiel).
    • Handle: RePEc:zbw:ifwedp:201319
    as

    Download full text from publisher

    File URL: http://www.economics-ejournal.org/economics/discussionpapers/2013-19
    Download Restriction: no
    File URL: https://www.econstor.eu/bitstream/10419/70480/1/737927216.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Jingfeng Lu, 2010. "Entry Coordination And Auction Design With Private Costs Of Information Acquisition," Economic Inquiry, Western Economic Association International, vol. 48(2), pages 274-289, April.
    2. Plum, M, 1992. "Characterization and Computation of Nash-Equilibria for Auctions with Incomplete Information," International Journal of Game Theory, Springer;Game Theory Society, vol. 20(4), pages 393-418.
    3. Rene Kirkegaard, 2011. "Ranking Asymmetric Auctions using the Dispersive Order," Working Papers 1101, University of Guelph, Department of Economics and Finance.
    4. Cantillon, Estelle, 2008. "The effect of bidders' asymmetries on expected revenue in auctions," Games and Economic Behavior, Elsevier, vol. 62(1), pages 1-25, January.
    5. Lebrun, Bernard, 1999. "First Price Auctions in the Asymmetric N Bidder Case," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(1), pages 125-142, February.
    6. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    7. Kirkegaard, René, 2009. "Asymmetric first price auctions," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1617-1635, July.
    8. Krishnendu Ghosh Dastidar, 2010. "Auctions where incomes are private information and preferences (non quasi-linear) are common knowledge," ISER Discussion Paper 0790, Institute of Social and Economic Research, Osaka University.
    9. McAfee, R. Preston & McMillan, John, 1987. "Auctions with entry," Economics Letters, Elsevier, vol. 23(4), pages 343-347.
    10. Menezes, Flavio M., 2008. "An Introduction to Auction Theory," OUP Catalogue, Oxford University Press, number 9780199275991.
    11. Kirkegaard, Rene, 2005. "Participation fees vs. reserve prices in auctions with asymmetric or colluding buyers," Economics Letters, Elsevier, vol. 89(3), pages 328-332, December.
    12. McAfee, R. Preston & Vincent, Daniel, 1997. "Sequentially Optimal Auctions," Games and Economic Behavior, Elsevier, vol. 18(2), pages 246-276, February.
    13. Levin, Dan & Smith, James L, 1996. "Optimal Reservation Prices in Auctions," Economic Journal, Royal Economic Society, vol. 106(438), pages 1271-1283, September.
    14. Alex Gershkov, 2009. "Optimal auctions and information disclosure," Review of Economic Design, Springer;Society for Economic Design, vol. 13(4), pages 335-344, December.
    15. Laffont, Jean-Jacques & Maskin, Eric, 1980. "Optimal reservation price in the Vickery auction," Economics Letters, Elsevier, vol. 6(4), pages 309-313.
    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. 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.
    2. Sanyyam Khurana, 2020. "Asymmetric auctions with risk averse preferences," Working papers 304, Centre for Development Economics, Delhi School of Economics.
    3. Doni Nicola & Menicucci Domenico, 2013. "Revenue Comparison in Asymmetric Auctions with Discrete Valuations," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 13(1), pages 1-33, September.
    4. Rene Kirkegaard, 2005. "A Simple Approach to Analyzing Asymmetric First Price Auctions," Working Papers 0504, Brock University, Department of Economics, revised Nov 2005.
    5. Kotowski, Maciej H., 2018. "On asymmetric reserve prices," Theoretical Economics, Econometric Society, vol. 13(1), January.
    6. Axel Ockenfels & David Reiley & Abdolkarim Sadrieh, 2006. "Online Auctions," NBER Working Papers 12785, National Bureau of Economic Research, Inc.
    7. Kirkegaard, René & Overgaard, Per Baltzer, 2008. "Pre-auction offers in asymmetric first-price and second-price auctions," Games and Economic Behavior, Elsevier, vol. 63(1), pages 145-165, May.
    8. Timothy Hubbard & René Kirkegaard & Harry Paarsch, 2013. "Using Economic Theory to Guide Numerical Analysis: Solving for Equilibria in Models of Asymmetric First-Price Auctions," Computational Economics, Springer;Society for Computational Economics, vol. 42(2), pages 241-266, August.
    9. Kirkegaard, René, 2009. "Asymmetric first price auctions," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1617-1635, July.
    10. Burkett, Justin & Woodward, Kyle, 2020. "Uniform price auctions with a last accepted bid pricing rule," Journal of Economic Theory, Elsevier, vol. 185(C).
    11. Chaturvedi, Aadhaar, 2015. "Procurement auctions with capacity constrained suppliers," European Journal of Operational Research, Elsevier, vol. 247(3), pages 987-995.
    12. Todd Kaplan & Shmuel Zamir, 2012. "Asymmetric first-price auctions with uniform distributions: analytic solutions to the general case," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(2), pages 269-302, June.
    13. Timothy P. Hubbard & Harry J. Paarsch, 2012. "On the Numerical Solution of Equilibria in Auction Models with Asymmetries within the Private-Values Paradigm," Carlo Alberto Notebooks 291, Collegio Carlo Alberto.
    14. Arieh Gavious & Yizhaq Minchuk, 2014. "Ranking asymmetric auctions," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(2), pages 369-393, May.
    15. De Chiara, Alessandro, 2015. "Holding an Auction for the Wrong Project," MPRA Paper 72108, University Library of Munich, Germany, revised 21 Apr 2015.
    16. Leandro Arozamena & Estelle Cantillon, 2004. "Investment Incentives in Procurement Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(1), pages 1-18.
    17. Jeremy Bulow & Paul Klemperer, 2007. "When are Auctions Best?," Economics Papers 2007-W03, Economics Group, Nuffield College, University of Oxford.
    18. Gentry, Matthew & Li, Tong & Lu, Jingfeng, 2017. "Auctions with selective entry," Games and Economic Behavior, Elsevier, vol. 105(C), pages 104-111.
    19. Andreas Roider & Patrick W. Schmitz, 2012. "Auctions with Anticipated Emotions: Overbidding, Underbidding, and Optimal Reserve Prices," Scandinavian Journal of Economics, Wiley Blackwell, vol. 114(3), pages 808-830, September.
    20. Hanming Fang & Stephen Morris, 2012. "Multidimensional Private Value Auctions," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 9, pages 319-356, World Scientific Publishing Co. Pte. Ltd..

    More about this item

    Keywords

    auction; reserve (reservation) price; asymmetric bidders;
    All these keywords.

    JEL classification:

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

    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:zbw:ifwedp:201319. 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: ZBW - Leibniz Information Centre for Economics (email available below). General contact details of provider: https://edirc.repec.org/data/iwkiede.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.