The Dynamic Pivot Mechanism

29 Pages Posted: 10 Aug 2008

See all articles by Dirk Bergemann

Dirk Bergemann

Yale University - Cowles Foundation - Department of Economics; Yale University - Cowles Foundation

Juuso Valimaki

Helsinki School of Economics; University of Southampton - Division of Economics

Multiple version iconThere are 2 versions of this paper

Date Written: August 8, 2008

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.

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

JEL Classification: C72, C73, D43, D83

Suggested Citation

Bergemann, Dirk and Valimaki, Juuso, The Dynamic Pivot Mechanism (August 8, 2008). Cowles Foundation Discussion Paper No. 1672. Available at SSRN: https://ssrn.com/abstract=1212660

Dirk Bergemann (Contact Author)

Yale University - Cowles Foundation - Department of Economics ( email )

28 Hillhouse Ave
New Haven, CT 06520-8268
United States
203-432-3592 (Phone)
203-432-2128 (Fax)

HOME PAGE: http://www.econ.yale.edu/~dirk/

Yale University - Cowles Foundation

Box 208281
New Haven, CT 06520-8281
United States

Juuso Valimaki

Helsinki School of Economics ( email )

P.O. Box 21210
Helsinki 00100, 00101
Finland

University of Southampton - Division of Economics ( email )

Southampton, SO17 1BJ
United Kingdom
+44 23 8059 3263 (Phone)

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