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Strategic Knowledge Sharing in Bayesian Games: A General Model

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Author Info
Frédéric KOESSLER

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Abstract

This paper provides a general model for the study of strategic knowledge sharing in any finite Bayesian game. Unlike earlier papers on strategic information revelation, higher-order uncertainties can be incorporated into the model. We propose an equilibrium concept, called knowledge equilibrium, which takes into account voluntary, public, and decentralized communication possibilities of exogenously certifiable statements. After the communication stage, beliefs are explicitly deduced from consistent possibility correspondences, without making reference to sequences of perturbed games. Several properties of knowledge equilibria and revised knowledge are examined. In particular, it is shown that a knowledge equilibrium is always a sequential equilibrium of the associated extensive form game with communication.

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Paper provided by Bureau d'Economie Théorique et Appliquée, ULP, Strasbourg in its series Working Papers of BETA with number 2002-01.

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Date of creation: 2002
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Handle: RePEc:ulp:sbbeta:2002-01

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Related research
Keywords: Strategic information revelation Interactive knowledge Bayesian games Knowledge revision Consistent beliefs.

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Find related papers by JEL classification:
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information

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  1. Grossman, Sanford J, 1981. "The Informational Role of Warranties and Private Disclosure about Product Quality," Journal of Law & Economics, University of Chicago Press, vol. 24(3), pages 461-83, December.
  2. Fishman, Michael J & Hagerty, Kathleen M, 1990. "The Optimal Amount of Discretion to Allow in Disclosure," The Quarterly Journal of Economics, MIT Press, vol. 105(2), pages 427-44, May. [Downloadable!] (restricted)
  3. Fudenberg, Drew & Tirole, Jean, 1991. "Perfect Bayesian equilibrium and sequential equilibrium," Journal of Economic Theory, Elsevier, vol. 53(2), pages 236-260, April. [Downloadable!] (restricted)
  4. Frédéric KOESSLER, 2002. "Strategic Knowledge Sharing in Bayesian Games: Applications," Working Papers of BETA 2002-02, Bureau d'Economie Théorique et Appliquée, ULP, Strasbourg. [Downloadable!]
  5. Lipman Barton L. & Seppi Duane J., 1995. "Robust Inference in Communication Games with Partial Provability," Journal of Economic Theory, Elsevier, vol. 66(2), pages 370-405, August. [Downloadable!] (restricted)
  6. Okuno-Fujiwara, Masahiro & Postlewaite, Andrew & Suzumura, Kotaro, 1990. "Strategic Information Revelation," Review of Economic Studies, Blackwell Publishing, vol. 57(1), pages 25-47, January. [Downloadable!] (restricted)
  7. Farrell, Joseph & Rabin, Matthew, 1996. "Cheap Talk," Journal of Economic Perspectives, American Economic Association, vol. 10(3), pages 103-18, Summer. [Downloadable!] (restricted)
  8. Parikh, Rohit & Krasucki, Paul, 1990. "Communication, consensus, and knowledge," Journal of Economic Theory, Elsevier, vol. 52(1), pages 178-189, October. [Downloadable!] (restricted)
  9. Krasucki, Paul, 1996. "Protocols Forcing Consensus," Journal of Economic Theory, Elsevier, vol. 70(1), pages 266-272, July. [Downloadable!] (restricted)
  10. Shin Hyun Song, 1994. "The Burden of Proof in a Game of Persuasion," Journal of Economic Theory, Elsevier, vol. 64(1), pages 253-264, October. [Downloadable!] (restricted)
  11. Glazer, Jacob & Rubinstein, Ariel, 2001. "Debates and Decisions: On a Rationale of Argumentation Rules," Games and Economic Behavior, Elsevier, vol. 36(2), pages 158-173, August. [Downloadable!] (restricted)
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  12. John Geanakoplos, 1989. "Game Theory Without Partitions, and Applications to Speculation and Consensus," Cowles Foundation Discussion Papers 914, Cowles Foundation, Yale University. [Downloadable!]
  13. Forges, Francoise, 1990. "Universal Mechanisms," Econometrica, Econometric Society, vol. 58(6), pages 1341-64, November. [Downloadable!] (restricted)
  14. Paul R. Milgrom, 1981. "Good News and Bad News: Representation Theorems and Applications," Bell Journal of Economics, The RAND Corporation, vol. 12(2), pages 380-391, Autumn. [Downloadable!] (restricted)
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  15. Paul Milgrom & John Roberts, 1986. "Relying on the Information of Interested Parties," RAND Journal of Economics, The RAND Corporation, vol. 17(1), pages 18-32, Spring. [Downloadable!] (restricted)
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  16. Stephen Morris & Hyun Song Shin, 2000. "Global Games: Theory and Applications," Cowles Foundation Discussion Papers 1275, Cowles Foundation, Yale University. [Downloadable!]
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  17. Modica, Salvatore & Rustichini, Aldo, 1999. "Unawareness and Partitional Information Structures," Games and Economic Behavior, Elsevier, vol. 27(2), pages 265-298, May. [Downloadable!] (restricted)
  18. Daniel J. Seidmann & Eyal Winter, 1997. "Strategic Information Transmission with Verifiable Messages," Econometrica, Econometric Society, vol. 65(1), pages 163-170, January.
  19. Crawford, Vincent P & Sobel, Joel, 1982. "Strategic Information Transmission," Econometrica, Econometric Society, vol. 50(6), pages 1431-51, November. [Downloadable!] (restricted)
  20. Eddie Dekel & Barton L. Lipman & Aldo Rustichini, 1998. "Standard State-Space Models Preclude Unawareness," Econometrica, Econometric Society, vol. 66(1), pages 159-174, January.
  21. Kreps, David M & Wilson, Robert, 1982. "Sequential Equilibria," Econometrica, Econometric Society, vol. 50(4), pages 863-94, July. [Downloadable!] (restricted)
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  1. Frédéric KOESSLER, 2002. "Strategic Knowledge Sharing in Bayesian Games: Applications," Working Papers of BETA 2002-02, Bureau d'Economie Théorique et Appliquée, ULP, Strasbourg. [Downloadable!]
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