IDEAS home Printed from https://ideas.repec.org/p/hal/pseptp/halshs-03229984.html
   My bibliography  Save this paper

Communication with forgetful liars

Author

Listed:
  • Philippe Jehiel

    (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, PJSE - Paris Jourdan Sciences Economiques - 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, UCL - University College of London [London])

Abstract

I consider multi-round cheap talk communication environments in which, after a lie, the informed party has no memory of the content of the lie. I characterize the equilibria with forgetful liars in such settings assuming that a liar's expectation about his past lie coincides with the equilibrium distribution of lies aggregated over all possible realizations of the states. The approach is used to shed light on when the full truth is almost surely elicited, and when multiple lies can arise in equilibrium. Elaborations are proposed to shed light on why non-trivial communication protocols are used in criminal investigations.

Suggested Citation

  • Philippe Jehiel, 2021. "Communication with forgetful liars," PSE-Ecole d'économie de Paris (Postprint) halshs-03229984, HAL.
    • Handle: RePEc:hal:pseptp:halshs-03229984
    DOI: 10.3982/te4154
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Elchanan Ben‐Porath & Eddie Dekel & Barton L. Lipman, 2019. "Mechanisms With Evidence: Commitment and Robustness," Econometrica, Econometric Society, vol. 87(2), pages 529-566, March.
    2. Navin Kartik, 2009. "Strategic Communication with Lying Costs," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(4), pages 1359-1395.
    3. Robert J. Aumann & Sergiu Hart, 2003. "Long Cheap Talk," Econometrica, Econometric Society, vol. 71(6), pages 1619-1660, November.
      • Robert J. Aumann & Sergiu Hart, 2002. "Long Cheap Talk," Discussion Paper Series dp284, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem, revised Nov 2002.
    4. 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.
    5. Krishna, Vijay & Morgan, John, 2004. "The art of conversation: eliciting information from experts through multi-stage communication," Journal of Economic Theory, Elsevier, vol. 117(2), pages 147-179, August.
    6. Jehiel, Philippe, 2005. "Analogy-based expectation equilibrium," Journal of Economic Theory, Elsevier, vol. 123(2), pages 81-104, August.
    7. Françoise Forges, 1990. "Equilibria with Communication in a Job Market Example," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 105(2), pages 375-398.
    8. , & ,, 2006. "A study in the pragmatics of persuasion: a game theoretical approach," Theoretical Economics, Econometric Society, vol. 1(4), pages 395-410, December.
    9. Green, Jerry R. & Stokey, Nancy L., 2007. "A two-person game of information transmission," Journal of Economic Theory, Elsevier, vol. 135(1), pages 90-104, July.
    10. Ivan Balbuzanov, 2019. "Lies and consequences," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(4), pages 1203-1240, December.
    11. Grossman, Sanford J, 1981. "The Informational Role of Warranties and Private Disclosure about Product Quality," Journal of Law and Economics, University of Chicago Press, vol. 24(3), pages 461-483, December.
    12. Piccione, Michele & Rubinstein, Ariel, 1997. "On the Interpretation of Decision Problems with Imperfect Recall," Games and Economic Behavior, Elsevier, vol. 20(1), pages 3-24, July.
    13. Sher, Itai, 2011. "Credibility and determinism in a game of persuasion," Games and Economic Behavior, Elsevier, vol. 71(2), pages 409-419, March.
    14. Grossman, S J & Hart, O D, 1980. "Disclosure Laws and Takeover Bids," Journal of Finance, American Finance Association, vol. 35(2), pages 323-334, May.
    15. Chen, Ying, 2011. "Perturbed communication games with honest senders and naive receivers," Journal of Economic Theory, Elsevier, vol. 146(2), pages 401-424, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. repec:ema:worpap:2021-02_v2 is not listed on IDEAS

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Irene Valsecchi, 2013. "The expert problem: a survey," Economics of Governance, Springer, vol. 14(4), pages 303-331, November.
    2. Winand Emons & Claude Fluet, 2019. "Strategic communication with reporting costs," Theory and Decision, Springer, vol. 87(3), pages 341-363, October.
    3. Gregorio Curello & Ludvig Sinander, 2020. "Screening for breakthroughs," Papers 2011.10090, arXiv.org, revised Feb 2024.
    4. Frédéric Koessler & Eduardo Perez-Richet, 2019. "Evidence reading mechanisms," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(3), pages 375-397, October.
    5. Forges, Francoise & Koessler, Frederic, 2005. "Communication equilibria with partially verifiable types," Journal of Mathematical Economics, Elsevier, vol. 41(7), pages 793-811, November.
    6. Jeanne Hagenbach & Frédéric Koessler, 2017. "Simple versus rich language in disclosure games," Review of Economic Design, Springer;Society for Economic Design, vol. 21(3), pages 163-175, September.
    7. Gayer Gabrielle & Segev Ella, 2012. "Revealing Private Information in Bargaining," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 12(1), pages 1-34, December.
    8. Nika Haghtalab & Nicole Immorlica & Brendan Lucier & Markus Mobius & Divyarthi Mohan, 2022. "Communicating with Anecdotes," Papers 2205.13461, arXiv.org, revised Jul 2024.
    9. Honryo, Takakazu, 2018. "Dynamic persuasion," Journal of Economic Theory, Elsevier, vol. 178(C), pages 36-58.
    10. Eduardo Perez & Delphine Prady, 2012. "Complicating to Persuade?," Working Papers hal-03583827, HAL.
    11. Emir Kamenica & Matthew Gentzkow, 2011. "Bayesian Persuasion," American Economic Review, American Economic Association, vol. 101(6), pages 2590-2615, October.
    12. Hagenbach, Jeanne & Koessler, Frédéric, 2022. "Selective memory of a psychological agent," European Economic Review, Elsevier, vol. 142(C).
    13. 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.
    14. P. Milgrom, 2009. "What the Seller Wont Tell You: Persuasion and Disclosure in Markets," Voprosy Ekonomiki, NP Voprosy Ekonomiki, issue 3.
    15. Forges, Françoise & Koessler, Frédéric, 2008. "Long persuasion games," Journal of Economic Theory, Elsevier, vol. 143(1), pages 1-35, November.
    16. Eduardo Perez, 2012. "Competing with Equivocal Information," SciencePo Working papers Main hal-03583828, HAL.
    17. Alessandro Ispano & Péter Vida, 2020. "Custodial Interrogations," THEMA Working Papers 2020-05, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    18. Levent Celik, 2014. "Information Unraveling Revisited: Disclosure of Horizontal Attributes," Journal of Industrial Economics, Wiley Blackwell, vol. 62(1), pages 113-136, March.
    19. Hugo M. Mialon & Sue H. Mialon, 2013. "Go Figure: The Strategy of Nonliteral Speech," American Economic Journal: Microeconomics, American Economic Association, vol. 5(2), pages 186-212, May.
    20. Giovannoni, Francesco & Xiong, Siyang, 2019. "Communication under language barriers," Journal of Economic Theory, Elsevier, vol. 180(C), pages 274-303.

    More about this item

    Keywords

    Forgetful liars; Lie detection; Analogy-based expectations; Cheap talk;
    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hal:pseptp:halshs-03229984. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Caroline Bauer (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.