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Long persuasion games

Author

Listed:
  • Frédéric Koessler

    (PJSE - Paris-Jourdan Sciences Economiques - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

  • Francoise Forges

    (CEREMADE - CEntre de REcherches en MAthématiques de la DEcision - Université Paris Dauphine-PSL - PSL - Université Paris Sciences et Lettres - CNRS - Centre National de la Recherche Scientifique)

Abstract

This paper characterizes geometrically the sets of all Nash and perfect Bayesian 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 [R.J. Aumann, S. Hart, Long cheap talk, Econometrica 71 (6) (2003) 1619-1660], 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

  • Frédéric Koessler & Francoise Forges, 2008. "Long persuasion games," PSE-Ecole d'économie de Paris (Postprint) hal-00360719, HAL.
  • Handle: RePEc:hal:pseptp:hal-00360719
    DOI: 10.1016/j.jet.2007.02.006
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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. 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.
    3. Johannes Hörner & Andrzej Skrzypacz, 2016. "Selling Information," Journal of Political Economy, University of Chicago Press, vol. 124(6), pages 1515-1562.
    4. Aïd, René & Bonesini, Ofelia & Callegaro, Giorgia & Campi, Luciano, 2025. "Continuous-time persuasion by filtering," LSE Research Online Documents on Economics 127889, London School of Economics and Political Science, LSE Library.
    5. 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.
    6. Ben-Porath, Elchanan & Lipman, Barton L., 2012. "Implementation with partial provability," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1689-1724.
    7. 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.
    8. Golosov, Mikhail & Skreta, Vasiliki & Tsyvinski, Aleh & Wilson, Andrea, 2014. "Dynamic strategic information transmission," Journal of Economic Theory, Elsevier, vol. 151(C), pages 304-341.
    9. 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.
    10. Hitoshi Sadakane, 2017. "Multistage Information Transmission with Voluntary Monetary Transfer," ISER Discussion Paper 1006, Institute of Social and Economic Research, The University of Osaka.
    11. Shih-Tang Su & Vijay G. Subramanian & Grant Schoenebeck, 2021. "Bayesian Persuasion in Sequential Trials," Papers 2110.09594, arXiv.org, revised Nov 2021.
    12. Hitoshi Sadakane, 2017. "Multistage Information Transmission with Voluntary Monetary Transfer," ISER Discussion Paper 1006r, Institute of Social and Economic Research, The University of Osaka, revised Jun 2018.
    13. Hitoshi Sadakane, 2017. "Multistage Information Transmission with Voluntary Monetary Transfer," ISER Discussion Paper 1006rr, Institute of Social and Economic Research, The University of Osaka, revised Jan 2019.
    14. 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.
    15. Honryo, Takakazu, 2018. "Dynamic persuasion," Journal of Economic Theory, Elsevier, vol. 178(C), pages 36-58.
    16. repec:hal:journl:halshs-00565157 is not listed on IDEAS
    17. Wagner, P.Achim, 2011. "Unmediated communication with partially verifiable types," Journal of Mathematical Economics, Elsevier, vol. 47(1), pages 99-107, January.
    18. 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.
    19. Hedlund, Jonas, 2015. "Persuasion with communication costs," Games and Economic Behavior, Elsevier, vol. 92(C), pages 28-40.
    20. Rene Aid & Anupama Kowli & Ankur A. Kulkarni, 2025. "Signalling for electricity demand response: When is truth telling optimal?," Economics Bulletin, AccessEcon, vol. 45(4), pages 1850-1859.
    21. 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.

    More about this item

    Keywords

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    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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