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Correlation, independence, and Bayesian incentives

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Author Info

  • Claude d'Aspremont
  • Jacques Crémer
  • Louis-André Gérard-Varet

Abstract

Our goal is to describe the state of the art on Bayesian mechanisms when utility is transferable and only balanced transfers are admissible. New results will be proved along the way, but they will be integrated to the overall picture. We first study a condition on the information structure of the agents (condition B) which is necessary and sufficient to guarantee implementation of any decision rule. We prove constructively that condition B holds generically. We further analyze another condition (condition C), sufficient to guarantee implementation of any efficient decision rule and provide a simple interpretation. Also, we build a counterexample showing that condition C is not necessary to guarantee implementation of any efficient decision rule and then provide a necessary and sufficient condition. A counterexample is constructed to show that there does not always exist efficient Bayesian mechanisms, with three agents. Finally, we exhibit conditions on the information structures that guarantee unique implementation, and show that they hold generically.

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File URL: http://hdl.handle.net/10.1007/s00355-003-0260-8
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Bibliographic Info

Article provided by Springer in its journal Social Choice and Welfare.

Volume (Year): 21 (2003)
Issue (Month): 2 (October)
Pages: 281-310

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Handle: RePEc:spr:sochwe:v:21:y:2003:i:2:p:281-310

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References

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Citations

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Cited by:
  1. Grüner, Hans Peter, 2008. "Public goods, participation constraints, and democracy: A possibility theorem," CEPR Discussion Papers 7066, C.E.P.R. Discussion Papers.
  2. d'ASPREMONT, Claude & CRÉMER, Jacques & GÉRARD-VARET, Louis-André, 2002. "Balanced Bayesian mechanisms," CORE Discussion Papers 2002048, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  3. Forges, Françoise & Mertens, Jean-François & Vohra, Rajiv, 2002. "The ex ante incentive compatible core in the absence of wealth effects," Economics Papers from University Paris Dauphine 123456789/5454, Paris Dauphine University.
  4. Dirk Bergemann & Stephen Morris, 2003. "Robust Mechanism Design," Cowles Foundation Discussion Papers 1421R, Cowles Foundation for Research in Economics, Yale University, revised Apr 2004.
  5. Francoise Forges, 2006. "The Ex Ante Incentive Compatible Core in Exchange Economies with and without Indivisibilities," CESifo Working Paper Series 1686, CESifo Group Munich.
  6. Drew Fudenberg & David K. Levine & Eric Maskin, 1996. "Balanced-Budget Mechanisms with Incomplete Information," Levine's Working Paper Archive 59, David K. Levine.
  7. Kosenok, Grigory & Severinov, Sergei, 2008. "Individually rational, budget-balanced mechanisms and allocation of surplus," Journal of Economic Theory, Elsevier, vol. 140(1), pages 126-161, May.

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