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Long Persuasion Games

Author

Listed:
  • Francoise Forges

    (CEREMADE, Paris-Dauphine University)

  • Frederic Koessler

    (THEMA, Université de Cergy-Pontoise)

Abstract

This paper characterizes geometrically the set of all Nash equilibrium payoffs achievable with unmediated communication in persuasion games, i.e., games with an informed expert and an uninformed decisionmaker in which the expert's information is certifiable. The first equilibrium characterization is provided for unilateral persuasion games, and the second for multistage, bilateral persuasion games. As in Aumann and Hart (2003), we use the concepts of diconvexification and dimartingale. A leading example illustrates both geometric characterizations and shows how the expert, whatever his type, can increase his equilibrium payoff compared to all equilibria of the unilateral persuasion game by delaying information certification.

Suggested Citation

  • Francoise Forges & Frederic Koessler, 2006. "Long Persuasion Games," THEMA Working Papers 2006-01, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    • Handle: RePEc:ema:worpap:2006-01
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Miura, Shintaro, 2014. "A characterization of equilibrium set of persuasion games with binary actions," Journal of Mathematical Economics, Elsevier, vol. 51(C), pages 55-68.
    2. Jacquemet, Nicolas & Koessler, Frédéric, 2013. "Using or hiding private information? An experimental study of zero-sum repeated games with incomplete information," Games and Economic Behavior, Elsevier, vol. 78(C), pages 103-120.
    3. Ben-Porath, Elchanan & Lipman, Barton L., 2012. "Implementation with partial provability," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1689-1724.
    4. Golosov, Mikhail & Skreta, Vasiliki & Tsyvinski, Aleh & Wilson, Andrea, 2014. "Dynamic strategic information transmission," Journal of Economic Theory, Elsevier, vol. 151(C), pages 304-341.
    5. Elchanan Ben-Porath & Eddie Dekel & Barton L Lipman, 2018. "Disclosure and Choice," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 85(3), pages 1471-1501.
    6. Johannes Hörner & Andrzej Skrzypacz, 2016. "Selling Information," Journal of Political Economy, University of Chicago Press, vol. 124(6), pages 1515-1562.
    7. Frédéric Koessler & Françoise Forges, 2008. "Multistage Communication With And Without Verifiable Types," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 10(02), pages 145-164.
    8. Arnold Polanski & Mark Quement, 2023. "The battle of opinion: dynamic information revelation by ideological senders," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(2), pages 463-483, June.
    9. Hitoshi Sadakane, 2017. "Multistage Information Transmission with Voluntary Monetary Transfer," ISER Discussion Paper 1006, Institute of Social and Economic Research, Osaka University.
    10. Shih-Tang Su & Vijay G. Subramanian & Grant Schoenebeck, 2021. "Bayesian Persuasion in Sequential Trials," Papers 2110.09594, arXiv.org, revised Nov 2021.
    11. Hitoshi Sadakane, 2017. "Multistage Information Transmission with Voluntary Monetary Transfer," ISER Discussion Paper 1006r, Institute of Social and Economic Research, Osaka University, revised Jun 2018.
    12. Hitoshi Sadakane, 2017. "Multistage Information Transmission with Voluntary Monetary Transfer," ISER Discussion Paper 1006rr, Institute of Social and Economic Research, Osaka University, revised Jan 2018.
    13. Elchanan Ben-Porath & Barton L. Lipman, 2009. "Implementation and Partial Provability," Boston University - Department of Economics - Working Papers Series wp2009-002, Boston University - Department of Economics.
    14. Honryo, Takakazu, 2018. "Dynamic persuasion," Journal of Economic Theory, Elsevier, vol. 178(C), pages 36-58.
    15. Wagner, P.Achim, 2011. "Unmediated communication with partially verifiable types," Journal of Mathematical Economics, Elsevier, vol. 47(1), pages 99-107, January.
    16. Eso, Peter & Wallace, Chris, 2016. "Persuasion and Pricing : Dynamic Trading with Hard Evidence," CRETA Online Discussion Paper Series 24, Centre for Research in Economic Theory and its Applications CRETA.
    17. Hedlund, Jonas, 2015. "Persuasion with communication costs," Games and Economic Behavior, Elsevier, vol. 92(C), pages 28-40.
    18. Solan, Eilon & Solan, Omri N. & Solan, Ron, 2020. "Jointly controlled lotteries with biased coins," Games and Economic Behavior, Elsevier, vol. 119(C), pages 383-391.

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    More about this item

    Keywords

    Cheap talk; communication; diconvexification; dimartingale; disclosure of certifiable information; jointly controlled lotteries; long conversation; persuasion; verifiable types;
    All these keywords.

    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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