IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v137y2015icp127-130.html
   My bibliography  Save this article

A note on the continuity of the optimal auction

Author

Listed:
  • Monteiro, Paulo Klinger

Abstract

In the independent private values auction model I study the continuity properties of the optimal auction revenue as a function of the valuations or types distribution. I show that the optimal revenue is lowersemicontinuous for convergence in distribution. If the limit distribution is continuous, the optimal auction revenue is continuous in distribution as well.

Suggested Citation

  • Monteiro, Paulo Klinger, 2015. "A note on the continuity of the optimal auction," Economics Letters, Elsevier, vol. 137(C), pages 127-130.
  • Handle: RePEc:eee:ecolet:v:137:y:2015:i:c:p:127-130
    DOI: 10.1016/j.econlet.2015.10.030
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165176515004322
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.econlet.2015.10.030?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. Monteiro, Paulo Klinger & Svaiter, Benar Fux, 2010. "Optimal auction with a general distribution: Virtual valuation without densities," Journal of Mathematical Economics, Elsevier, vol. 46(1), pages 21-31, January.
    2. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    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. Chen, Yi-Chun & Yang, Xiangqian, 2023. "Information design in optimal auctions," Journal of Economic Theory, Elsevier, vol. 212(C).

    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. Skreta, Vasiliki, 2015. "Optimal auction design under non-commitment," Journal of Economic Theory, Elsevier, vol. 159(PB), pages 854-890.
    2. Paulo Monteiro, 2009. "Abstract types and distributions in independent private value auctions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(3), pages 497-507, September.
    3. Monteiro, Paulo Klinger & Page, Frank H. & Svaiter, Benar fux, 2013. "Optimal auctions with multidimensional types and the desirability of exclusion," Journal of Mathematical Economics, Elsevier, vol. 49(1), pages 106-110.
    4. Yi-Chun Chen & Xiangqian Yang, 2020. "Information Design in Optimal Auctions," Papers 2010.08990, arXiv.org, revised Oct 2022.
    5. Chen, Yi-Chun & Yang, Xiangqian, 2023. "Information design in optimal auctions," Journal of Economic Theory, Elsevier, vol. 212(C).
    6. L. Elisa Celis & Gregory Lewis & Markus Mobius & Hamid Nazerzadeh, 2011. "Buy-it-now or Take-a-chance: A New Pricing Mechanism for Online Advertising," Working Papers 11-21, NET Institute, revised Nov 2011.
    7. Maslov, Alexander & Noiset, Luc & Schwartz, Jesse A., 2022. "A closer look at two conjectures about irregular marginal revenue," Economics Letters, Elsevier, vol. 218(C).
    8. Kotowski, Maciej H., 2018. "On asymmetric reserve prices," Theoretical Economics, Econometric Society, vol. 13(1), January.
    9. Yang, Kai Hao & Zentefis, Alexander K., 2023. "Regulating oligopolistic competition," Journal of Economic Theory, Elsevier, vol. 212(C).
    10. Christian Ewerhart, 2013. "Regular type distributions in mechanism design and $$\rho $$ -concavity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(3), pages 591-603, August.
    11. Arve, Malin & Zwart, Gijsbert, 2023. "Optimal procurement and investment in new technologies under uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 147(C).
    12. Yuya Wakabayashi & Ryosuke Sakai & Shigehiro Serizawa, 2022. "A Characterization of the Minimum Price Walrasian Rule with Reserve Prices for an Arbitrary Number of Agents and Objects," ISER Discussion Paper 1161, Institute of Social and Economic Research, Osaka University.
    13. Laurent Lamy, 2013. "“Upping the ante”: how to design efficient auctions with entry?," RAND Journal of Economics, RAND Corporation, vol. 44(2), pages 194-214, June.
    14. Yeon-Koo Che & Ian Gale, 1994. "Auctions with budget-constrained buyers: a nonequivalence result," Working Papers (Old Series) 9402, Federal Reserve Bank of Cleveland.
    15. Bogetoft, Peter & Nielsen, Kurt, 2003. "Yardstick Based Procurement Design In Natural Resource Management," 2003 Annual Meeting, August 16-22, 2003, Durban, South Africa 25910, International Association of Agricultural Economists.
    16. Shunda, Nicholas, 2009. "Auctions with a buy price: The case of reference-dependent preferences," Games and Economic Behavior, Elsevier, vol. 67(2), pages 645-664, November.
    17. Stefano Galavotti, 2014. "Reducing Inefficiency in Public Good Provision Through Linking," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 16(3), pages 427-466, June.
    18. Stephen Leider & William S. Lovejoy, 2016. "Bargaining in Supply Chains," Management Science, INFORMS, vol. 62(10), pages 3039-3058, October.
    19. Schmitz, Patrick W., 2003. "On second-price auctions and imperfect competition," Journal of Mathematical Economics, Elsevier, vol. 39(8), pages 901-909, November.
    20. Pablo Guillen & Róbert F. Veszteg, 2021. "Strategy-proofness in experimental matching markets," Experimental Economics, Springer;Economic Science Association, vol. 24(2), pages 650-668, June.

    More about this item

    Keywords

    Optimal auction; Convergence in distribution; Independent private values;
    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:eee:ecolet:v:137:y:2015:i:c:p:127-130. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ecolet .

    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.