IDEAS home Printed from https://ideas.repec.org/a/spr/reecde/v19y2015i3p211-228.html
   My bibliography  Save this article

Dynamic mechanism design with interdependent valuations

Author

Listed:
  • Swaprava Nath
  • Onno Zoeter
  • Y. Narahari
  • Christopher Dance

Abstract

We consider an infinite horizon dynamic mechanism design problem with interdependent valuations. In this setting the type of each agent is assumed to be evolving according to a first order Markov process and is independent of the types of other agents. However, the valuation of an agent can depend on the types of other agents, which makes the problem fall into an interdependent valuation setting. Designing truthful mechanisms in this setting is non-trivial in view of an impossibility result which says that for interdependent valuations, any efficient and ex-post incentive compatible mechanism must be a constant mechanism, even in a static setting. Mezzetti (Econometrica 72(5):1617–1626, 2004 ) circumvents this problem by splitting the decisions of allocation and payment into two stages. However, Mezzetti’s result is limited to a static setting and moreover in the second stage of that mechanism, agents are weakly indifferent about reporting their valuations truthfully. This paper provides a first attempt at designing a dynamic mechanism which is efficient, strict ex-post incentive compatible and ex-post individually rational in a setting with interdependent values and Markovian type evolution. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Swaprava Nath & Onno Zoeter & Y. Narahari & Christopher Dance, 2015. "Dynamic mechanism design with interdependent valuations," Review of Economic Design, Springer;Society for Economic Design, vol. 19(3), pages 211-228, September.
  • Handle: RePEc:spr:reecde:v:19:y:2015:i:3:p:211-228
    DOI: 10.1007/s10058-015-0177-6
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10058-015-0177-6
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s10058-015-0177-6?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. Dirk Bergemann & Juuso V‰lim‰ki, 2010. "The Dynamic Pivot Mechanism," Econometrica, Econometric Society, vol. 78(2), pages 771-789, March.
    2. Jehiel, Philippe & Moldovanu, Benny, 2001. "Efficient Design with Interdependent Valuations," Econometrica, Econometric Society, vol. 69(5), pages 1237-1259, September.
    3. Claudio Mezzetti, 2007. "Mechanism Design with Interdependent Valuations: Surplus Extraction," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(3), pages 473-488, June.
    4. Edward Clarke, 1971. "Multipart pricing of public goods," Public Choice, Springer, vol. 11(1), pages 17-33, September.
    5. Amar Gupta & Raj K. Goyal & Keith A. Joiner & Sanjay Saini, 2008. "Outsourcing in the Healthcare Industry: Information Technology, Intellectual Property, and Allied Aspects," Information Resources Management Journal (IRMJ), IGI Global, vol. 21(1), pages 1-26, January.
    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. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    8. Nath, Swaprava & Zoeter, Onno, 2013. "A strict ex-post incentive compatible mechanism for interdependent valuations," Economics Letters, Elsevier, vol. 121(2), pages 321-325.
    9. Susan Athey & Ilya Segal, 2013. "An Efficient Dynamic Mechanism," Econometrica, Econometric Society, vol. 81(6), pages 2463-2485, November.
    10. Yinyu Ye, 2005. "A New Complexity Result on Solving the Markov Decision Problem," Mathematics of Operations Research, INFORMS, vol. 30(3), pages 733-749, August.
    11. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-631, July.
    12. Claudio Mezzetti, 2004. "Mechanism Design with Interdependent Valuations: Efficiency," Econometrica, Econometric Society, vol. 72(5), pages 1617-1626, September.
    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. He, Wei & Li, Jiangtao, 2016. "Efficient dynamic mechanisms with interdependent valuations," Games and Economic Behavior, Elsevier, vol. 97(C), pages 166-173.
    2. Noda, Shunya, 2019. "Full surplus extraction and within-period ex post implementation in dynamic environments," Theoretical Economics, Econometric Society, vol. 14(1), January.

    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. Liu, Heng, 2018. "Efficient dynamic mechanisms in environments with interdependent valuations: the role of contingent transfers," Theoretical Economics, Econometric Society, vol. 13(2), May.
    2. He, Wei & Li, Jiangtao, 2016. "Efficient dynamic mechanisms with interdependent valuations," Games and Economic Behavior, Elsevier, vol. 97(C), pages 166-173.
    3. Matsushima, Hitoshi & Noda, Shunya, 2023. "Mechanism design with general ex-ante investments," Journal of Mathematical Economics, Elsevier, vol. 106(C).
    4. Miller, Nolan H. & Pratt, John W. & Zeckhauser, Richard J. & Johnson, Scott, 2007. "Mechanism design with multidimensional, continuous types and interdependent valuations," Journal of Economic Theory, Elsevier, vol. 136(1), pages 476-496, September.
    5. Hitoshi Matsushima & Shunya Noda, 2019. "Mechanism Design with General Ex-Ante Investments (Revised version of F415 )," CARF F-Series CARF-F-464, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    6. Chan, Jimmy & Zhang, Wenzhang, 2015. "Collusion enforcement with private information and private monitoring," Journal of Economic Theory, Elsevier, vol. 157(C), pages 188-211.
    7. Aristotelis Boukouras & Kostas Koufopoulos, 2017. "Efficient allocations in economies with asymmetric information when the realized frequency of types is common knowledge," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 64(1), pages 75-98, June.
    8. Papakonstantinou, A. & Rogers, A & Gerding, E. H. & Jennings, N. R., 2010. "Mechanism Design for the truthful elicitation of costly probabilistic estimates in Distributed Information Systems," MPRA Paper 43324, University Library of Munich, Germany.
    9. Mierendorff, Konrad, 2013. "The Dynamic Vickrey Auction," Games and Economic Behavior, Elsevier, vol. 82(C), pages 192-204.
    10. Aristotelis Boukouras & Kostas Koufopoulos, 2015. "Efficient Allocations in Economies with Asymmetric Information when the Realized Frequency of Types is Common Knowledge," Discussion Papers in Economics 15/04, Division of Economics, School of Business, University of Leicester.
    11. Duffie, Darrell & Antill, Samuel, 2017. "Augmenting Markets with Mechanisms," Research Papers repec:ecl:stabus:3623, Stanford University, Graduate School of Business.
    12. Parikshit De & Manipushpak Mitra, 2017. "Incentives and justice for sequencing problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 64(2), pages 239-264, August.
    13. Philippe Jehiel & Benny Moldovanu, 2005. "Allocative and Informational Externalities in Auctions and Related Mechanisms," Levine's Bibliography 784828000000000490, UCLA Department of Economics.
    14. 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.
    15. Jehiel, Philippe & Meyer-ter-Vehn, Moritz & Moldovanu, Benny, 2012. "Locally robust implementation and its limits," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2439-2452.
    16. 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.
    17. 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.
    18. Delacrétaz, David & Loertscher, Simon & Marx, Leslie M. & Wilkening, Tom, 2019. "Two-sided allocation problems, decomposability, and the impossibility of efficient trade," Journal of Economic Theory, Elsevier, vol. 179(C), pages 416-454.
    19. Bergemann, Dirk & Pavan, Alessandro, 2015. "Introduction to Symposium on Dynamic Contracts and Mechanism Design," Journal of Economic Theory, Elsevier, vol. 159(PB), pages 679-701.
    20. Endre Cs'oka, 2021. "A Robust Efficient Dynamic Mechanism," Papers 2110.15219, arXiv.org, revised Jun 2022.

    More about this item

    Keywords

    Dynamic mechanism design; Interdependent value; Dynamic pivot mechanism; Markov decision problem; Dynamic games; Nash equilibrium; Social choice; Collective action; C72; C73; D71;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

    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:spr:reecde:v:19:y:2015:i:3:p:211-228. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.