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The Role of the Common Prior in Robust Implementation

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Author Info
Dirk Bergemann
Stephen Morris

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Abstract

We consider the role of the common prior for robust implementation in an environment with interdependent values. Specifically, we investigate a model of public good provision which allows for negative and positive informational externalities. In the corresponding direct mechanism, the agents' reporting strategies are strategic complements with negative informational externalities and strategic substitutes with positive informational externalities.We derive the necessary and sufficient conditions for robust implementation in common prior type spaces and contrast this with our earlier results without the common prior. In the case of strategic complements the necessary and sufficient conditions for robust implementation do not depend on the existence of a common prior. In contrast, with strategic substitutes, the implementation conditions are much weaker under the common prior assumption. (JEL: C79, D82) (c) 2008 by the European Economic Association.

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Article provided by MIT Press in its journal Journal of the European Economic Association.

Volume (Year): 6 (2008)
Issue (Month): 2-3 (04-05)
Pages: 551-559
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Handle: RePEc:tpr:jeurec:v:6:y:2008:i:2-3:p:551-559

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Find related papers by JEL classification:
C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other
D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information

References listed on IDEAS
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  1. Aumann, Robert J, 1987. "Correlated Equilibrium as an Expression of Bayesian Rationality," Econometrica, Econometric Society, vol. 55(1), pages 1-18, January. [Downloadable!] (restricted)
  2. Partha Dasgupta & Eric Maskin, 2000. "Efficient Auctions," The Quarterly Journal of Economics, MIT Press, vol. 115(2), pages 341-388, May. [Downloadable!] (restricted)
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  3. Stephen Morris & Dirk Bergemann, 2007. "Strategic Distinguishability With an Application to Robust Virtual Implementation," Levine's Bibliography 843644000000000149, UCLA Department of Economics. [Downloadable!]
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  4. Pierpaolo Battigalli & Marciano Siniscalchi, 2003. "Rationalization and Incomplete Information," Advances in Theoretical Economics, Berkeley Electronic Press, vol. 3(1), pages 1073-1073. [Downloadable!] (restricted)
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  5. Forges, F., 1993. "Five Ligitimate Definitions of Correlated Equilibrium in Game with Incomplete Information," Papers 9309, Universite catholique de Louvain - Center for Operations Research and Economics (CORE).
  6. Abraham Neyman, 1997. "Correlated Equilibrium and Potential Games," International Journal of Game Theory, Springer, vol. 26(2), pages 223-227.
  7. Dirk Bergemann & Stephen Morris, 2007. "Belief Free Incomplete Information Games," Levine's Bibliography 122247000000001569, UCLA Department of Economics. [Downloadable!]
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  8. Brandenburger, Adam & Dekel, Eddie, 1987. "Rationalizability and Correlated Equilibria," Econometrica, Econometric Society, vol. 55(6), pages 1391-1402, November. [Downloadable!] (restricted)
  9. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May. [Downloadable!] (restricted)
  10. Dirk Bergemann & Juuso Valimaki, 2002. "Information Acquisition and Efficient Mechanism Design," Econometrica, Econometric Society, vol. 70(3), pages 1007-1033, May. [Downloadable!] (restricted)
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