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Multistage communication with and without verifiable types

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 des Ponts ParisTech - 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 des Ponts ParisTech - 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

We survey selected results on strategic information transmission. We distinguish between "cheap talk" and "persuasion". In the latter model, the informed player's message set depends on his type. As a benchmark, we first assume that the informed player sends a single message to the decision maker. We state characterization results for the sets of equilibrium payoffs, with and without verifiable types. We then show that multistage, bilateral communication enables the players to achieve new equilibrium outcomes, even if types are verifiable. We also propose complete characterizations of the equilibrium payoffs that are achievable with a bounded number of communication rounds.

Suggested Citation

  • Frédéric Koessler & Francoise Forges, 2008. "Multistage communication with and without verifiable types," PSE-Ecole d'économie de Paris (Postprint) hal-00360739, HAL.
    • Handle: RePEc:hal:pseptp:hal-00360739
    DOI: 10.1142/S0219198908001844
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    References listed on IDEAS

    as
    1. Robert J. Aumann, 1995. "Repeated Games with Incomplete Information," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262011476, April.
    2. Forges, Françoise & Koessler, Frédéric, 2008. "Long persuasion games," Journal of Economic Theory, Elsevier, vol. 143(1), pages 1-35, November.
    3. Daniel J. Seidmann & Eyal Winter, 1997. "Strategic Information Transmission with Verifiable Messages," Econometrica, Econometric Society, vol. 65(1), pages 163-170, January.
    4. Jérôme Renault, 2000. "On Two-Player Repeated Games with Lack of Information on One Side and State-Independent Signalling," Mathematics of Operations Research, INFORMS, vol. 25(4), pages 552-572, November.
    5. Watson, Joel, 1996. "Information Transmission When the Informed Party Is Confused," Games and Economic Behavior, Elsevier, vol. 12(1), pages 143-161, January.
    6. Blume Andreas, 1994. "Equilibrium Refinements in Sender-Receiver Games," Journal of Economic Theory, Elsevier, vol. 64(1), pages 66-77, October.
    7. Paul Milgrom & John Roberts, 1986. "Relying on the Information of Interested Parties," RAND Journal of Economics, The RAND Corporation, vol. 17(1), pages 18-32, Spring.
    8. Jérôme Renault, 2001. "3-player repeated games with lack of information on one side," International Journal of Game Theory, Springer;Game Theory Society, vol. 30(2), pages 221-245.
    9. repec:dau:papers:123456789/6109 is not listed on IDEAS
    10. Crawford, Vincent P & Sobel, Joel, 1982. "Strategic Information Transmission," Econometrica, Econometric Society, vol. 50(6), pages 1431-1451, November.
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    Cited by:

    1. Frédéric Loss & Estelle Malavolti & Thibaud Vergé, 2013. "Communication and Binary Decisions: Is it Better to Communicate?," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 169(3), pages 451-467, September.
    2. , & ,, 2013. "Implementation of communication equilibria by correlated cheap talk: The two-player case," Theoretical Economics, Econometric Society, vol. 8(1), January.
    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.

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    More about this item

    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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