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Long persuasion games

Author

Listed:
  • Frédéric Koessler

    (PJSE - Paris-Jourdan Sciences Economiques - ENS Paris - École normale supérieure - Paris - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics)

  • Francoise Forges

    () (CEREMADE - CEntre de REcherches en MAthématiques de la DEcision - Université Paris-Dauphine - 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," Post-Print hal-00360719, HAL.
  • Handle: RePEc:hal:journl:hal-00360719
    DOI: 10.1016/j.jet.2007.02.006
    Note: View the original document on HAL open archive server: https://hal.archives-ouvertes.fr/hal-00360719
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    References listed on IDEAS

    as
    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.
    2. Fudenberg, Drew & Tirole, Jean, 1991. "Perfect Bayesian equilibrium and sequential equilibrium," Journal of Economic Theory, Elsevier, vol. 53(2), pages 236-260, April.
    3. Robert J. Aumann, 1995. "Repeated Games with Incomplete Information," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262011476.
    4. Daniel J. Seidmann & Eyal Winter, 1997. "Strategic Information Transmission with Verifiable Messages," Econometrica, Econometric Society, vol. 65(1), pages 163-170, January.
    5. Forges, Francoise, 1992. "Repeated games of incomplete information: Non-zero-sum," Handbook of Game Theory with Economic Applications,in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 6, pages 155-177 Elsevier.
    6. Aumann, Robert J. & Heifetz, Aviad, 2002. "Incomplete information," Handbook of Game Theory with Economic Applications,in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 43, pages 1665-1686 Elsevier.
    7. Forges, Francoise, 1990. "Universal Mechanisms," Econometrica, Econometric Society, vol. 58(6), pages 1341-1364, November.
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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. Ben-Porath, Elchanan & Lipman, Barton L., 2012. "Implementation with partial provability," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1689-1724.
    3. Golosov, Mikhail & Skreta, Vasiliki & Tsyvinski, Aleh & Wilson, Andrea, 2014. "Dynamic strategic information transmission," Journal of Economic Theory, Elsevier, vol. 151(C), pages 304-341.
    4. Elchanan Ben-Porath & Eddie Dekel & Barton L Lipman, 2018. "Disclosure and Choice," Review of Economic Studies, Oxford University Press, vol. 85(3), pages 1471-1501.
    5. Johannes Hörner & Andrzej Skrzypacz, 2016. "Selling Information," Journal of Political Economy, University of Chicago Press, vol. 124(6), pages 1515-1562.
    6. 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.
    7. Hitoshi Sadakane, 2017. "Multistage Information Transmission with Voluntary Monetary Transfer," ISER Discussion Paper 1006, Institute of Social and Economic Research, Osaka University.
    8. 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.
    9. 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.
    10. Wagner, P.Achim, 2011. "Unmediated communication with partially verifiable types," Journal of Mathematical Economics, Elsevier, vol. 47(1), pages 99-107, January.
    11. Hedlund, Jonas, 2015. "Persuasion with communication costs," Games and Economic Behavior, Elsevier, vol. 92(C), pages 28-40.

    More about this item

    Keywords

    Belief consistency; Cheap talk; Diconvexification; Dimartingale; Disclosure of certifiable information; Jointly controlled lotteries; Long conversation; Persuasion; Sequential rationality; Verifiable types;

    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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