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The Dynamic Pivot Mechanism

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Abstract

We consider truthful implementation of the socially efficient allocation in an independent private-value environment in which agents receive private information over time. We propose a suitable generalization of the pivot mechanism, based on the marginal contribution of each agent. In the dynamic pivot mechanism, the ex-post incentive and ex-post participation constraints are satisfied for all agents after all histories. In an environment with diverse preferences it is the unique mechanism satisfying ex-post incentive, ex-post participation and efficient exit conditions. We develop the dynamic pivot mechanism in detail for a repeated auction of a single object in which each bidder learns over time her true valuation of the object. The dynamic pivot mechanism here is equivalent to a modified second price auction.

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  • Dirk Bergemann & Juuso Valimaki, 2008. "The Dynamic Pivot Mechanism," Cowles Foundation Discussion Papers 1672R, Cowles Foundation for Research in Economics, Yale University, revised Dec 2009.
    • Handle: RePEc:cwl:cwldpp:1672r
    Note: CFP 1293, includes supplement
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    1. Ilya Segal & Susan Athey, 2007. "Designing Efficient Mechanisms for Dynamic Bilateral Trading Games," American Economic Review, American Economic Association, vol. 97(2), pages 131-136, May.
    2. Green, Jerry & Laffont, Jean-Jacques, 1977. "Characterization of Satisfactory Mechanisms for the Revelation of Preferences for Public Goods," Econometrica, Econometric Society, vol. 45(2), pages 427-438, March.
    3. Bergemann, Dirk & Valimaki, Juuso, 2003. "Dynamic common agency," Journal of Economic Theory, Elsevier, vol. 111(1), pages 23-48, July.
    4. Xavier Freixas & Roger Guesnerie & Jean Tirole, 1985. "Planning under Incomplete Information and the Ratchet Effect," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(2), pages 173-191.
    5. Pascal Courty & Li Hao, 2000. "Sequential Screening," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(4), pages 697-717.
    6. Said, Maher, 2012. "Auctions with dynamic populations: Efficiency and revenue maximization," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2419-2438.
    7. Baron, David P. & Besanko, David, 1984. "Regulation and information in a continuing relationship," Information Economics and Policy, Elsevier, vol. 1(3), pages 267-302.
    8. Green, Jerry & Laffont, Jean-Jacques, 1977. "On the revelation of preferences for public goods," Journal of Public Economics, Elsevier, vol. 8(1), pages 79-93, August.
    9. 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.
    10. Juuso Toikka & Ilya Segal & Alessandro Pavan, 2008. "Revenue Equivalence, Profit Maximization, and Information Disclosure in Dynamic Mechanisms," 2008 Meeting Papers 564, Society for Economic Dynamics.
    11. d'Aspremont, Claude & Gerard-Varet, Louis-Andre, 1979. "Incentives and incomplete information," Journal of Public Economics, Elsevier, vol. 11(1), pages 25-45, February.
    12. Marco Battaglini, 2005. "Long-Term Contracting with Markovian Consumers," American Economic Review, American Economic Association, vol. 95(3), pages 637-658, June.
    13. Moulin, H., 1986. "Characterizations of the pivotal mechanism," Journal of Public Economics, Elsevier, vol. 31(1), pages 53-78, October.
    14. Robert J. Dolan, 1978. "Incentive Mechanisms for Priority Queuing Problems," Bell Journal of Economics, The RAND Corporation, vol. 9(2), pages 421-436, Autumn.
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    More about this item

    Keywords

    Pivot mechanisms; Dynamic mechanism design; Ex-post equilibrium; Marginal contribution; Multi-armed bandit; Bayesian learning;
    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
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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