[go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/p/fgv/epgewp/643.html
   My bibliography  Save this paper

Abstract types and distributions in independent private value auctions

Author

Listed:
  • Monteiro, Paulo Klinger
Abstract
In this note, in an independent private values auction framework, I discuss the relationship between the set of types and the distribution of types. I show that any set of types, finite dimensional or not, can be extended to a larger set of types preserving incentive compatibility constraints, expected revenue and bidder’s expected utilities. Thus for example we may convexify a set of types making our model amenable to the large body of theory in economics and mathematics that relies on convexity assumptions. An interesting application of this extension procedure is to show that although revenue equivalence is not valid in general if the set of types is not convex these mechanism have underlying distinct allocation mechanism in the extension. Thus we recover in these situations the revenue equivalence.

Suggested Citation

  • Monteiro, Paulo Klinger, 2007. "Abstract types and distributions in independent private value auctions," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 643, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    • Handle: RePEc:fgv:epgewp:643
    as

    Download full text from publisher

    File URL: https://repositorio.fgv.br/bitstreams/920ae9f0-4065-4faf-8700-106eebc2593a/download
    Download Restriction: no
    ---><---

    Other versions of this item:

    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. Skreta, Vasiliki, 2006. "Mechanism design for arbitrary type spaces," Economics Letters, Elsevier, vol. 91(2), pages 293-299, May.
    3. 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. 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.
    2. Carrasco, Vinicius & Farinha Luz, Vitor & Kos, Nenad & Messner, Matthias & Monteiro, Paulo & Moreira, Humberto, 2018. "Optimal selling mechanisms under moment conditions," Journal of Economic Theory, Elsevier, vol. 177(C), pages 245-279.

    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. Kos, Nenad & Messner, Matthias, 2013. "Extremal incentive compatible transfers," Journal of Economic Theory, Elsevier, vol. 148(1), pages 134-164.
    3. Monteiro, Paulo Klinger, 2015. "A note on the continuity of the optimal auction," Economics Letters, Elsevier, vol. 137(C), pages 127-130.
    4. Kotowski, Maciej H., 2018. "On asymmetric reserve prices," Theoretical Economics, Econometric Society, vol. 13(1), January.
    5. Pham, Hien, 2023. "How Information Design Shapes Optimal Selling Mechanisms," MPRA Paper 120989, University Library of Munich, Germany, revised 06 Mar 2024.
    6. Che,Y.-K. & Kim,J., 2004. "Collusion-proof implementation of optimal mechanisms," Working papers 4, Wisconsin Madison - Social Systems.
    7. Vasiliki Skreta, 2007. "Optimal Auctions with General Distributions," Levine's Bibliography 843644000000000227, UCLA Department of Economics.
    8. 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.
    9. Pham, Hien, 2023. "How Information Design Shapes Optimal Selling Mechanisms," MPRA Paper 120364, University Library of Munich, Germany, revised 06 Mar 2024.
    10. Yang, Kai Hao & Zentefis, Alexander K., 2023. "Regulating oligopolistic competition," Journal of Economic Theory, Elsevier, vol. 212(C).
    11. Vasiliki Skreta, 2011. "On the informed seller problem: optimal information disclosure," Review of Economic Design, Springer;Society for Economic Design, vol. 15(1), pages 1-36, March.
    12. Pham, Hien, 2023. "How Information Design Shapes Optimal Selling Mechanisms," MPRA Paper 120462, University Library of Munich, Germany, revised 17 Mar 2024.
    13. Vasiliki Skreta, 2000. "Sequentially Optimal Mechanisms," Econometric Society World Congress 2000 Contributed Papers 1521, Econometric Society.
    14. 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.
    15. Yi-Chun Chen & Xiangqian Yang, 2020. "Information Design in Optimal Auctions," Papers 2010.08990, arXiv.org, revised Oct 2022.
    16. Chen, Yi-Chun & Yang, Xiangqian, 2023. "Information design in optimal auctions," Journal of Economic Theory, Elsevier, vol. 212(C).
    17. Jerry Anunrojwong & Santiago R. Balseiro & Omar Besbes, 2023. "Robust Auction Design with Support Information," Papers 2305.09065, arXiv.org, revised Aug 2023.
    18. 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.
    19. Maslov, Alexander & Noiset, Luc & Schwartz, Jesse A., 2022. "A closer look at two conjectures about irregular marginal revenue," Economics Letters, Elsevier, vol. 218(C).
    20. Arve, Malin & Zwart, Gijsbert, 2023. "Optimal procurement and investment in new technologies under uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 147(C).

    More about this item

    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:fgv:epgewp:643. 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: Núcleo de Computação da FGV EPGE (email available below). General contact details of provider: https://edirc.repec.org/data/epgvfbr.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.