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Strategic Knowledge Sharing in Bayesian Games: A General Model

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  • Frédéric KOESSLER

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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Bibliographic Info

Paper provided by Bureau d'Economie Théorique et Appliquée, UDS, 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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Keywords: Strategic information revelation; Interactive knowledge; Bayesian games; Knowledge revision; Consistent beliefs.;

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References

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  1. 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.
  2. Forges, F., 1987. "Universal mechanisms," CORE Discussion Papers 1987004, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  3. Fudenberg, Drew & Tirole, Jean, 1991. "Perfect Bayesian equilibrium and sequential equilibrium," Journal of Economic Theory, Elsevier, vol. 53(2), pages 236-260, April.
  4. Modica, Salvatore & Rustichini, Aldo, 1999. "Unawareness and Partitional Information Structures," Games and Economic Behavior, Elsevier, vol. 27(2), pages 265-298, May.
  5. Grossman, Sanford J, 1981. "The Informational Role of Warranties and Private Disclosure about Product Quality," Journal of Law and Economics, University of Chicago Press, vol. 24(3), pages 461-83, December.
  6. 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.
  7. Kreps, David M & Wilson, Robert, 1982. "Sequential Equilibria," Econometrica, Econometric Society, vol. 50(4), pages 863-94, July.
  8. Stephen Morris & Hyun Song Shin, 2000. "Global Games: Theory and Applications," Cowles Foundation Discussion Papers 1275, Cowles Foundation for Research in Economics, Yale University.
  9. Okuno-Fujiwara, Masahiro & Postlewaite, Andrew & Suzumura, Kotaro, 1990. "Strategic Information Revelation," Review of Economic Studies, Wiley Blackwell, vol. 57(1), pages 25-47, January.
  10. Eddie Dekel & Barton L. Lipman & Aldo Rustichini, 1998. "Standard State-Space Models Preclude Unawareness," Econometrica, Econometric Society, vol. 66(1), pages 159-174, January.
  11. Frédéric KOESSLER, 2002. "Strategic Knowledge Sharing in Bayesian Games: Applications," Working Papers of BETA 2002-02, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
  12. Daniel J. Seidmann & Eyal Winter, 1997. "Strategic Information Transmission with Verifiable Messages," Econometrica, Econometric Society, vol. 65(1), pages 163-170, January.
  13. Joseph Farrell & Matthew Rabin, 1996. "Cheap Talk," Journal of Economic Perspectives, American Economic Association, vol. 10(3), pages 103-118, Summer.
  14. Krasucki, Paul, 1996. "Protocols Forcing Consensus," Journal of Economic Theory, Elsevier, vol. 70(1), pages 266-272, July.
  15. Crawford, Vincent P & Sobel, Joel, 1982. "Strategic Information Transmission," Econometrica, Econometric Society, vol. 50(6), pages 1431-51, November.
  16. 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.
  17. John Geanakoplos, 1989. "Game Theory Without Partitions, and Applications to Speculation and Consensus," Cowles Foundation Discussion Papers 914, Cowles Foundation for Research in Economics, Yale University.
  18. 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.
  19. Parikh, Rohit & Krasucki, Paul, 1990. "Communication, consensus, and knowledge," Journal of Economic Theory, Elsevier, vol. 52(1), pages 178-189, October.
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Cited by:
  1. Koessler, Frederic, 2004. "Strategic knowledge sharing in Bayesian games," Games and Economic Behavior, Elsevier, vol. 48(2), pages 292-320, August.
  2. Frédéric KOESSLER, 2002. "Strategic Knowledge Sharing in Bayesian Games: Applications," Working Papers of BETA 2002-02, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.

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