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Communication and Learning

Author

Listed:
  • Luca Anderlini
  • Dino Gerardi
  • Roger Lagunoff

Abstract

We study strategic information transmission in an organization consisting of an infinite sequence of individual decision makers. Each decision maker chooses an action and receives an informative but imperfect signal of the once-and-for-all realization of an unobserved state. The state affects all individuals' preferences over present and future decisions. Decision makers do not directly observe the realized signals or actions of their predecessors. Instead, they must rely on cheap-talk messages in order to accumulate information about the state. Each decision maker is therefore both a receiver of information with respect to his decision, and a sender with respect to all future decisions. We show that if preferences are not perfectly aligned "full learning" equilibria - ones in which the individuals' posterior beliefs eventually place full weight on the true state - do not exist. This is so both in the case of private communication, in which each individual only hears the message of his immediate predecessor, and in the case of public communication, in which a decision maker hears the message of all his predecessors. Surprisingly, in the latter case full learning may be impossible even in the limit as all members of the organization become infinitely patient. We also consider the case where all individuals have access to a mediator who can work across time periods arbitrarily far apart. In this case full learning equilibria exist.

Suggested Citation

  • Luca Anderlini & Dino Gerardi & Roger Lagunoff, 2008. "Communication and Learning," Carlo Alberto Notebooks 82, Collegio Carlo Alberto, revised 2010.
  • Handle: RePEc:cca:wpaper:82
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    Cited by:

    1. Luca Anderlini & Dino Gerardi & Roger Lagunoff, 2014. "Do Actions Speak Louder than Words?," Carlo Alberto Notebooks 355, Collegio Carlo Alberto.
    2. Lagunoff, Roger, 2006. "Credible communication in dynastic government," Journal of Public Economics, Elsevier, vol. 90(1-2), pages 59-86, January.
    3. Redlicki, B., 2017. "Spreading Lies," Cambridge Working Papers in Economics 1747, Faculty of Economics, University of Cambridge.
    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. Luca Anderlini & Dino Gerardi & Roger Lagunoff, 2014. "Do Actions Speak Louder Than Words? Auditing, Disclosure, and Verification in Organizations," Working Papers gueconwpa~14-14-04, Georgetown University, Department of Economics, revised 13 Jun 2015.
    6. Petri Ruuskanen & Tomi Kankainen, 2011. "Dynamic capabilities in small and medium manufacturing firms in rural Finland – role of social capital?," ERSA conference papers ersa11p806, European Regional Science Association.
    7. Buechel, Berno & Hellmann, Tim & Klößner, Stefan, 2015. "Opinion dynamics and wisdom under conformity," Journal of Economic Dynamics and Control, Elsevier, vol. 52(C), pages 240-257.
    8. Garcia, Daniel, 2012. "Communication and Information Acquisition in Networks," MPRA Paper 55481, University Library of Munich, Germany, revised 24 Apr 2014.
    9. Luca Anderlini & Dino Gerardi & Roger Lagunoff, 2008. "A “Super” Folk Theorem for dynastic repeated games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(3), pages 357-394, December.
    10. Anderlini, Luca & Gerardi, Dino & Lagunoff, Roger, 2016. "Auditing, disclosure, and verification in decentralized decision problems," Journal of Economic Behavior & Organization, Elsevier, vol. 131(PA), pages 393-408.

    More about this item

    Keywords

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    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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