The Dynamic Pivot Mechanism
AbstractWe 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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Bibliographic InfoPaper provided by Cowles Foundation for Research in Economics, Yale University in its series Cowles Foundation Discussion Papers with number 1672.
Length: 28 pages
Date of creation: Aug 2008
Date of revision:
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Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA
Other versions of this item:
- 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.
- Dirk Bergemann & Juuso Välimäki, 2008. "The Dynamic Pivot Mechanism," Levine's Working Paper Archive 122247000000002340, David K. Levine.
- 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
This paper has been announced in the following NEP Reports:
- NEP-ALL-2008-08-14 (All new papers)
- NEP-CTA-2008-08-14 (Contract Theory & Applications)
- NEP-GTH-2008-08-14 (Game Theory)
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