IDEAS home Printed from https://ideas.repec.org/p/kyo/wpaper/937.html
   My bibliography  Save this paper

Iterative Revelation Mechanisms

Author

Listed:
  • Ryuji Sano

    (Institute of Economic Research, Kyoto University)

Abstract

This paper considers dynamic resource allocation processes, called iterative revelation mechanisms, with quasi-linear dichotomous utilities and complete information. Agents gradually reveal their valuation through binary questions. The social planner identifies the efficient outcome, and monetary transfer is determined on a “pay-as-bid†basis. We show that the efficient allocation rule is implemented in a subgame perfect Nash equilibrium, regardless of details of a binary-question process. The analysis applies to the case with limited communication, and every strongly monotone allocation rule is implemented in equilibrium. We also show that if a resource allocation process is ex post incentive compatible, it is an ascending-price mechanism. In a single-object allocation problem, the English auction is a unique mechanism satisfying efficiency, ex post incentive compatibility, and pay-as-bid transfer.

Suggested Citation

  • Ryuji Sano, 2016. "Iterative Revelation Mechanisms," KIER Working Papers 937, Kyoto University, Institute of Economic Research.
  • Handle: RePEc:kyo:wpaper:937
    as

    Download full text from publisher

    File URL: http://www.kier.kyoto-u.ac.jp/DP/DP937.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Palfrey, Thomas R. & Rosenthal, Howard, 1984. "Participation and the provision of discrete public goods: a strategic analysis," Journal of Public Economics, Elsevier, vol. 24(2), pages 171-193, July.
    2. B. Douglas Bernheim & Michael D. Whinston, 1986. "Menu Auctions, Resource Allocation, and Economic Influence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 101(1), pages 1-31.
    3. Elena Grigorieva & P. Herings & Rudolf Müller & Dries Vermeulen, 2007. "The private value single item bisection auction," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 30(1), pages 107-118, January.
    4. Mishra, Debasis & Parkes, David C., 2007. "Ascending price Vickrey auctions for general valuations," Journal of Economic Theory, Elsevier, vol. 132(1), pages 335-366, January.
    5. de Vries, Sven & Schummer, James & Vohra, Rakesh V., 2007. "On ascending Vickrey auctions for heterogeneous objects," Journal of Economic Theory, Elsevier, vol. 132(1), pages 95-118, January.
    6. , & ,, 2013. "Implementation in multidimensional dichotomous domains," Theoretical Economics, Econometric Society, vol. 8(2), May.
    7. Bikhchandani, Sushil & Ostroy, Joseph M., 2002. "The Package Assignment Model," Journal of Economic Theory, Elsevier, vol. 107(2), pages 377-406, December.
    8. Blumrosen, Liad & Feldman, Michal, 2013. "Mechanism design with a restricted action space," Games and Economic Behavior, Elsevier, vol. 82(C), pages 424-443.
    9. Nisan, Noam & Segal, Ilya, 2006. "The communication requirements of efficient allocations and supporting prices," Journal of Economic Theory, Elsevier, vol. 129(1), pages 192-224, July.
    10. Sano, Ryuji, 2011. "Incentives in core-selecting auctions with single-minded bidders," Games and Economic Behavior, Elsevier, vol. 72(2), pages 602-606, June.
    11. Timothy Van Zandt, 2007. "Communication Complexity and Mechanism Design," Journal of the European Economic Association, MIT Press, vol. 5(2-3), pages 543-553, 04-05.
    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. Ryuji Sano, 2021. "Dynamic communication mechanism design," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 57(1), pages 163-180, July.
    2. Shirata, Yasuhiro, 2017. "First price package auction with many traders," Journal of Mathematical Economics, Elsevier, vol. 69(C), pages 71-83.
    3. Ozan Candogan & Asuman Ozdaglar & Pablo A. Parrilo, 2015. "Iterative Auction Design for Tree Valuations," Operations Research, INFORMS, vol. 63(4), pages 751-771, August.
    4. Andersson, Tommy & Erlanson, Albin, 2013. "Multi-item Vickrey–English–Dutch auctions," Games and Economic Behavior, Elsevier, vol. 81(C), pages 116-129.
    5. Sushil Bikhchandani & Sven de Vries & James Schummer & Rakesh V. Vohra, 2011. "An Ascending Vickrey Auction for Selling Bases of a Matroid," Operations Research, INFORMS, vol. 59(2), pages 400-413, April.
    6. Ioannis Petrakis & Georg Ziegler & Martin Bichler, 2013. "Ascending Combinatorial Auctions with Allocation Constraints: On Game Theoretical and Computational Properties of Generic Pricing Rules," Information Systems Research, INFORMS, vol. 24(3), pages 768-786, September.
    7. Jawad Abrache & Teodor Crainic & Michel Gendreau & Monia Rekik, 2007. "Combinatorial auctions," Annals of Operations Research, Springer, vol. 153(1), pages 131-164, September.
    8. Laurent Lamy, 2007. "The Ausubel-Milgrom Proxy Auction with Final Discounts," Working Papers 2007-25, Center for Research in Economics and Statistics.
    9. Martin Bichler & Pasha Shabalin & Georg Ziegler, 2013. "Efficiency with Linear Prices? A Game-Theoretical and Computational Analysis of the Combinatorial Clock Auction," Information Systems Research, INFORMS, vol. 24(2), pages 394-417, June.
    10. Martin Bichler & Zhen Hao & Gediminas Adomavicius, 2017. "Coalition-Based Pricing in Ascending Combinatorial Auctions," Information Systems Research, INFORMS, vol. 28(1), pages 159-179, March.
    11. Baranov, Oleg, 2018. "An efficient ascending auction for private valuations," Journal of Economic Theory, Elsevier, vol. 177(C), pages 495-517.
    12. Lamy, Laurent, 2012. "On minimal ascending auctions with payment discounts," Games and Economic Behavior, Elsevier, vol. 75(2), pages 990-999.
    13. Tomoya Kazumura & Shigehiro Serizawa, 2016. "Efficiency and strategy-proofness in object assignment problems with multi-demand preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(3), pages 633-663, October.
    14. Laurent Lamy, 2007. "Contingent Auctions with Allocative Externalities : Vickrey Versus the Ausubel-Milgrom Proxy Auction," Working Papers 2007-26, Center for Research in Economics and Statistics.
    15. Grigorieva, Elena & Jean-Jacques Herings, P. & Müller, Rudolf & Vermeulen, Dries, 2012. "Fraction auctions: The tradeoff between efficiency and running time," European Journal of Operational Research, Elsevier, vol. 220(2), pages 577-587.
    16. Vohra, Rakesh V., 2015. "Combinatorial Auctions," Handbook of Game Theory with Economic Applications,, Elsevier.
    17. Hitoshi Matsushima, 2011. "Price-Based Combinatorial Auction: Connectedness and Representative Valuations," CARF F-Series CARF-F-261, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    18. Ingebretsen Carlson, Jim, 2016. "An Auction with Approximated Bidder Preferences - When an Auction has to be Quick," Working Papers 2016:12, Lund University, Department of Economics.
    19. Jim Ingebretsen Carlson, 2020. "A speedy auction using approximated bidders’ preferences," Annals of Operations Research, Springer, vol. 288(1), pages 65-93, May.
    20. De Liu & Adib Bagh, 2020. "Preserving Bidder Privacy in Assignment Auctions: Design and Measurement," Management Science, INFORMS, vol. 66(7), pages 3162-3182, July.

    More about this item

    Keywords

    iterative revelation mechanism; limited communication; ascending price; English auction;
    All these keywords.

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

    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:kyo:wpaper:937. 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: Makoto Watanabe (email available below). General contact details of provider: https://edirc.repec.org/data/iekyojp.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.