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Persuasion games with higher-order uncertainty

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  • Koessler, Frederic

Abstract

In persuasion games, it is well known that a perfectly revealing equilibrium may fail to exist when the decision maker is uncertain about the interested party\'s payoff-relevant information. However, by explicitly integrating higher order uncertainty into the information structure, this paper shows that a perfectly revealing equilibrium does exist when disclosures are not restrained to intervals of the payoff-relevant state space. On the contrary, when payoff-irrelevant disclosures are impossible, a perfectly revealing equilibrium fails to exist as long as there is a strictly positive probability that the decision maker does not know whether the interested party is informed or not. In this case, a partially revealing equilibrium and associated inferences are characterized.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 110 (2003)
Issue (Month): 2 (June)
Pages: 393-399

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Handle: RePEc:eee:jetheo:v:110:y:2003:i:2:p:393-399

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Web page: http://www.elsevier.com/locate/inca/622869

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References

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  1. Paul R. Milgrom, 1979. "Good Nevs and Bad News: Representation Theorems and Applications," Discussion Papers 407R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  2. Kreps, David M & Wilson, Robert, 1982. "Sequential Equilibria," Econometrica, Econometric Society, vol. 50(4), pages 863-94, July.
  3. Morris, Stephen & Postlewaite, Andrew & Shin, Hyun Song, 1995. "Depth of Knowledge and the Effect of Higher Order Uncertainty," Economic Theory, Springer, vol. 6(3), pages 453-67, November.
  4. Okuno-Fujiwara, Masahiro & Postlewaite, Andrew & Suzumura, Kotaro, 1990. "Strategic Information Revelation," Review of Economic Studies, Wiley Blackwell, vol. 57(1), pages 25-47, January.
  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. Sanford Grossman & Oliver Hart, . "Disclosure Laws and Takeover Bids," Rodney L. White Center for Financial Research Working Papers 23-79, Wharton School Rodney L. White Center for Financial Research.
  7. H.S. Shin, 1994. "News Management and the Value of Firms," RAND Journal of Economics, The RAND Corporation, vol. 25(1), pages 58-71, Spring.
  8. Sergiu Hart & Aviad Heifetz & Dov Samet, 1994. "'Knowing Whether', 'Knowing That' and the Cardinality of State Spaces," Game Theory and Information 9404002, EconWPA.
  9. 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.
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Citations

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Cited by:
  1. Jerome Mathis, 2006. "Full Revelation of Information in Sender-Receiver Games of Persuasion," THEMA Working Papers 2006-02, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  2. Forges, Francoise & Koessler, Frederic, 2005. "Communication equilibria with partially verifiable types," Journal of Mathematical Economics, Elsevier, vol. 41(7), pages 793-811, November.
  3. T. Lanzi & J. Mathis, 2005. "Consulting an expert with potentially conflicting preferences," THEMA Working Papers 2005-07, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  4. Koessler, Frederic, 2004. "Strategic knowledge sharing in Bayesian games," Games and Economic Behavior, Elsevier, vol. 48(2), pages 292-320, August.
  5. Deborah Wilson, 2005. "Acquisition and disclosure of genetic information under alternative policy regimes," The Centre for Market and Public Organisation 05/118, Department of Economics, University of Bristol, UK.
  6. T. Lanzi & J. Mathis, 2004. "Argumentation in Sender-Receiver Games," THEMA Working Papers 2004-19, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  7. Thomas Lanzi & Jerome Mathis, 2011. "How to consult an expert? Opinion versus evidence," Theory and Decision, Springer, vol. 70(4), pages 447-474, April.

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