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Persuasion Games with Higher Order Uncertainty

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  • Frédéric KOESSLER

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.

Suggested Citation

  • Frédéric KOESSLER, 2001. "Persuasion Games with Higher Order Uncertainty," Working Papers of BETA 2001-14, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
  • Handle: RePEc:ulp:sbbeta:2001-14
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    References listed on IDEAS

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    1. Masahiro Okuno-Fujiwara & Andrew Postlewaite & Kotaro Suzumura, 1990. "Strategic Information Revelation," Review of Economic Studies, Oxford University Press, vol. 57(1), pages 25-47.
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    4. Hart, Sergiu & Heifetz, Aviad & Samet, Dov, 1996. ""Knowing Whether," "Knowing That," and The Cardinality of State Spaces," Journal of Economic Theory, Elsevier, vol. 70(1), pages 249-256, July.
    5. 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.
    6. 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.
    7. Morris, Stephen & Postlewaite, Andrew & Shin, Hyun Song, 1995. "Depth of Knowledge and the Effect of Higher Order Uncertainty," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 6(3), pages 453-467, November.
    8. 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.
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    Citations

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    Cited by:

    1. Mathis, Jérôme, 2008. "Full revelation of information in Sender-Receiver games of persuasion," Journal of Economic Theory, Elsevier, vol. 143(1), pages 571-584, November.
    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. Thomas Lanzi & Jerome Mathis, 2011. "How to consult an expert? Opinion versus evidence," Theory and Decision, Springer, vol. 70(4), pages 447-474, April.
    4. 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.
    5. Thomas Lanzi & Jerome Mathis, 2008. "Consulting an Expert with Potentially Conflicting Preferences," Theory and Decision, Springer, vol. 65(3), pages 185-204, November.
    6. Koessler, Frederic, 2004. "Strategic knowledge sharing in Bayesian games," Games and Economic Behavior, Elsevier, vol. 48(2), pages 292-320, August.
    7. 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.

    More about this item

    Keywords

    Strategic information revelation; Persuasion games; Higher order uncertainty; Provability;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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