IDEAS home Printed from https://ideas.repec.org/a/eee/matsoc/v68y2014icp64-70.html
   My bibliography  Save this article

Implementation in an interdependent value framework

Author

Listed:
  • Ülkü, Levent

Abstract

We study ex post implementation in an interdependent value framework and with single dimensional types, using a class of mechanisms identified by monotonicity of outcomes and an integral representation of payments. We give examples to illustrate this class and its relation to the previous literature. The various extensions of the Vickrey–Clarke–Groves mechanism to interdependent value models are examples of this class. The extraction mechanisms of Crémer and McLean (1985) also form a special case for finite type spaces. The class is particularly useful in set allocation problems where the monotonicity condition is easier to work with.

Suggested Citation

  • Ülkü, Levent, 2014. "Implementation in an interdependent value framework," Mathematical Social Sciences, Elsevier, vol. 68(C), pages 64-70.
  • Handle: RePEc:eee:matsoc:v:68:y:2014:i:c:p:64-70
    DOI: 10.1016/j.mathsocsci.2014.01.002
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165489614000031
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.mathsocsci.2014.01.002?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. Levin, Jonathan, 1997. "An Optimal Auction for Complements," Games and Economic Behavior, Elsevier, vol. 18(2), pages 176-192, February.
    2. Jehiel, Philippe & Moldovanu, Benny, 2001. "Efficient Design with Interdependent Valuations," Econometrica, Econometric Society, vol. 69(5), pages 1237-1259, September.
    3. Dirk Bergemann & Juuso Valimaki, 2002. "Information Acquisition and Efficient Mechanism Design," Econometrica, Econometric Society, vol. 70(3), pages 1007-1033, May.
    4. Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March.
    5. Dirk Bergemann & Stephen Morris, 2012. "An Ascending Auction for Interdependent Values: Uniqueness and Robustness to Strategic Uncertainty," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 7, pages 253-262, World Scientific Publishing Co. Pte. Ltd..
    6. Philippe Jehiel & Moritz Meyer-ter-Vehn & Benny Moldovanu & William R. Zame, 2006. "The Limits of ex post Implementation," Econometrica, Econometric Society, vol. 74(3), pages 585-610, May.
    7. Partha Dasgupta & Eric Maskin, 2000. "Efficient Auctions," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 115(2), pages 341-388.
    8. Benjamin Edelman & Michael Ostrovsky & Michael Schwarz, 2007. "Internet Advertising and the Generalized Second-Price Auction: Selling Billions of Dollars Worth of Keywords," American Economic Review, American Economic Association, vol. 97(1), pages 242-259, March.
    9. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    10. Fernando Branco, 1996. "Multiple unit auctions of an indivisible good," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(1), pages 77-101.
    11. Dirk Bergemann & Stephen Morris, 2007. "An Ascending Auction for Independent Values: Uniqueness and Robustness to Strategic Uncertainty," Cowles Foundation Discussion Papers 1600, Cowles Foundation for Research in Economics, Yale University, revised Mar 2007.
    12. Dirk Bergemann & Stephen Morris, 2007. "Ascending Auction: Uniqueness and Robustness to Strategic Uncertainty," Levine's Bibliography 321307000000000845, UCLA Department of Economics.
    13. Carbajal, Juan Carlos & Ely, Jeffrey C., 2013. "Mechanism design without revenue equivalence," Journal of Economic Theory, Elsevier, vol. 148(1), pages 104-133.
    14. Motty Perry & Philip J. Reny, 2002. "An Efficient Auction," Econometrica, Econometric Society, vol. 70(3), pages 1199-1212, May.
    15. Cremer, Jacques & McLean, Richard P, 1985. "Optimal Selling Strategies under Uncertainty for a Discriminating Monopolist When Demands Are Interdependent," Econometrica, Econometric Society, vol. 53(2), pages 345-361, March.
    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. Goyal, Saurav & Narayanan, Aroon, 2023. "Ex-post implementation with interdependent values," Games and Economic Behavior, Elsevier, vol. 142(C), pages 440-453.

    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. Levent Ulku, 2010. "Monotone Implementation," Working Papers 1004, Centro de Investigacion Economica, ITAM.
    2. Philippe Jehiel & Benny Moldovanu, 2005. "Allocative and Informational Externalities in Auctions and Related Mechanisms," Levine's Bibliography 784828000000000490, UCLA Department of Economics.
    3. Gärtner, Dennis L. & Schmutzler, Armin, 2009. "Merger negotiations and ex-post regret," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1636-1664, July.
    4. Fieseler, Karsten & Kittsteiner, Thomas & Moldovanu, Benny, 2003. "Partnerships, lemons, and efficient trade," Journal of Economic Theory, Elsevier, vol. 113(2), pages 223-234, December.
    5. Satoru Fujishige & Zaifu Yang, 2020. "A Universal Dynamic Auction for Unimodular Demand Types: An Efficient Auction Design for Various Kinds of Indivisible Commodities," Discussion Papers 20/08, Department of Economics, University of York.
    6. Dirk Bergemann & Stephen Morris, 2012. "Robust Implementation in Direct Mechanisms," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 4, pages 153-194, World Scientific Publishing Co. Pte. Ltd..
    7. Levent Ülkü, 2014. "Mechanism design without monotone differences: an example featuring buyer habits," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(2), pages 183-195, October.
    8. Che,Y.-K. & Kim,J., 2001. "Know thy enemies : knowledge of rivals' types and its effect on auctions," Working papers 9, Wisconsin Madison - Social Systems.
    9. Mathevet, Laurent & Taneva, Ina, 2013. "Finite supermodular design with interdependent valuations," Games and Economic Behavior, Elsevier, vol. 82(C), pages 327-349.
    10. Dirk Bergemann & Stephen Morris, 2012. "Robust Mechanism Design," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 2, pages 49-96, World Scientific Publishing Co. Pte. Ltd..
    11. Ning Sun & Zaifu Yang, 2014. "An Efficient and Incentive Compatible Dynamic Auction for Multiple Complements," Journal of Political Economy, University of Chicago Press, vol. 122(2), pages 422-466.
    12. Levent Ülkü, 2013. "Optimal combinatorial mechanism design," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(2), pages 473-498, June.
    13. Goyal, Saurav & Narayanan, Aroon, 2023. "Ex-post implementation with interdependent values," Games and Economic Behavior, Elsevier, vol. 142(C), pages 440-453.
    14. Dirk Bergemann & Stephen Morris, 2012. "Ex Post Implementation," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 3, pages 97-152, World Scientific Publishing Co. Pte. Ltd..
    15. Barberà, Salvador & Berga, Dolors & Moreno, Bernardo, 2022. "Restricted environments and incentive compatibility in interdependent values models," Games and Economic Behavior, Elsevier, vol. 131(C), pages 1-28.
    16. Li, Yunan, 2017. "Approximation in mechanism design with interdependent values," Games and Economic Behavior, Elsevier, vol. 103(C), pages 225-253.
    17. Philippe Jehiel & Moritz Meyer-ter-Vehn & Benny Moldovanu, 2008. "Ex-post implementation and preference aggregation via potentials," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(3), pages 469-490, December.
    18. Carbajal, Juan Carlos, 2010. "On the uniqueness of Groves mechanisms and the payoff equivalence principle," Games and Economic Behavior, Elsevier, vol. 68(2), pages 763-772, March.
    19. Levent Ulku, 2012. "Nonmonotone Mechanism Design," Working Papers 1202, Centro de Investigacion Economica, ITAM.
    20. Che, Yeon-Koo & Kim, Jinwoo & Kojima, Fuhito, 2015. "Efficient assignment with interdependent values," Journal of Economic Theory, Elsevier, vol. 158(PA), pages 54-86.

    More about this item

    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:matsoc:v:68:y:2014:i:c:p:64-70. 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/inca/505565 .

    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.