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The Dynamic Pivot Mechanism

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Author Info
Dirk Bergemann () (Cowles Foundation, Yale University)
Juuso Valimaki (Dept. of Economics, Helsinki School of Economics)

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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. We show that the dynamic pivot mechanism is equivalent to a modified second price auction.

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File URL: http://cowles.econ.yale.edu/P/cd/d16b/d1672.pdf
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Publisher Info
Paper provided by Cowles Foundation, Yale University in its series Cowles Foundation Discussion Papers with number 1672.

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Length: 28 pages
Date of creation: Aug 2008
Date of revision:
Handle: RePEc:cwl:cwldpp:1672

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Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA

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Related research
Keywords: Pivot mechanisms; Dynamic mechanism design; Ex-post equilibrium; Marginal contribution; Multi-armed bandit; Bayesian learning;

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Find related papers by 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 and Pricing - - - Oligopoly and Other Forms of Market Imperfection
D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Baron, David P. & Besanko, David, 1984. "Regulation and information in a continuing relationship," Information Economics and Policy, Elsevier, vol. 1(3), pages 267-302. [Downloadable!] (restricted)
  2. Robert J. Dolan, 1978. "Incentive Mechanisms for Priority Queuing Problems," Bell Journal of Economics, The RAND Corporation, vol. 9(2), pages 421-436, Autumn. [Downloadable!] (restricted)
  3. Freixas, Xavier & Guesnerie, Roger & Tirole, Jean, 1985. "Planning under Incomplete Information and the Ratchet Effect," Review of Economic Studies, Blackwell Publishing, vol. 52(2), pages 173-91, April. [Downloadable!] (restricted)
  4. 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. [Downloadable!]
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  5. Bergemann, Dirk & Valimaki, Juuso, 2003. "Dynamic common agency," Journal of Economic Theory, Elsevier, vol. 111(1), pages 23-48, July. [Downloadable!] (restricted)
    Other versions:
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Said, Maher, 2009. "Auctions with Dynamic Populations: Efficiency and Revenue Maximization," MPRA Paper 11456, University Library of Munich, Germany, revised 20 Aug 2009. [Downloadable!]
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This page was last updated on 2009-11-12.


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