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Communication and Learning

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  • 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.

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Paper provided by UCLA Department of Economics in its series Levine's Bibliography with number 122247000000001868.

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Date of creation: 08 Feb 2008
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Handle: RePEc:cla:levrem:122247000000001868

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  1. V. Crawford & J. Sobel, 2010. "Strategic Information Transmission," Levine's Working Paper Archive 544, David K. Levine.
  2. Roger Lagunoff, 2002. "Credible Communication in Dynastic Government," Game Theory and Information 0203003, EconWPA.
  3. Roger Lagunoff & Akihiko Matsui, 2004. "Organizations and overlapping generations games: Memory, communication, and altruism," Review of Economic Design, Springer, vol. 8(4), pages 383-411, 04.
  4. Mailath, George J. & Samuelson, Larry, 2006. "Repeated Games and Reputations: Long-Run Relationships," OUP Catalogue, Oxford University Press, number 9780195300796, September.
  5. Joseph Farrell & Matthew Rabin, 1996. "Cheap Talk," Journal of Economic Perspectives, American Economic Association, vol. 10(3), pages 103-118, Summer.
  6. Mikhail Golosov & Vasiliki Skreta & Aleh Tsyvinski & Andrea Wilson, 2011. "Dynamic Strategic Information Transmission," EIEF Working Papers Series 1110, Einaudi Institute for Economics and Finance (EIEF), revised May 2011.
  7. Forges, F., 1984. "An approach to communication equilibria," CORE Discussion Papers 1984035, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. Marco Ottaviani & Peter Sorensen, 1999. "Professional Advice," Game Theory and Information 9906003, EconWPA.
  9. Luca Anderlini & Roger Lagunoff, 2005. "Communication in dynastic repeated games: ‘Whitewashes’ and ‘coverups’," Economic Theory, Springer, vol. 26(2), pages 265-299, 08.
  10. Vijay Krishna & John Morgan, 1999. "A Model of Expertise," Game Theory and Information 9902003, EconWPA.
    • Krishna, V. & Morgan, J., 1999. "A Model of Expertise," Papers 206, Princeton, Woodrow Wilson School - Public and International Affairs.
    • Vijay Krishna & John Morgan, 1999. "A Model of Expertise," Working Papers 154, Princeton University, Woodrow Wilson School of Public and International Affairs, Discussion Papers in Economics..
  11. Smith, L, 1996. "Social Learning in a Changing World," Working papers 96-34, Massachusetts Institute of Technology (MIT), Department of Economics.
  12. David Spector, 2000. "Rational Debate And One-Dimensional Conflict," The Quarterly Journal of Economics, MIT Press, vol. 115(1), pages 181-200, February.
  13. David Kreps & Robert Wilson, 1998. "Sequential Equilibria," Levine's Working Paper Archive 237, David K. Levine.
  14. Banerjee, Abhijit V, 1992. "A Simple Model of Herd Behavior," The Quarterly Journal of Economics, MIT Press, vol. 107(3), pages 797-817, August.
  15. Hajime Kobayashi, 2007. "Folk Theorems For Infinitely Repeated Games Played By Organizations With Short-Lived Members," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 48(2), pages 517-549, 05.
  16. Luca Anderlini & Dino Gerardi & Roger Lagunoff, 2007. "Social Memory and Evidence from the Past," Levine's Bibliography 321307000000000850, UCLA Department of Economics.
  17. Gale, Douglas, 1996. "What have we learned from social learning?," European Economic Review, Elsevier, vol. 40(3-5), pages 617-628, April.
  18. Myerson, Roger B., 1982. "Optimal coordination mechanisms in generalized principal-agent problems," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 67-81, June.
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Cited by:
  1. Mikhail Golosov & Vasiliki Skreta & Aleh Tsyvinski & Andrea Wilson, 2011. "Dynamic Strategic Information Transmission," Cowles Foundation Discussion Papers 1802, Cowles Foundation for Research in Economics, Yale University, revised Jun 2011.
  2. Roger Lagunoff, 2002. "Credible Communication in Dynastic Government," Wallis Working Papers WP34, University of Rochester - Wallis Institute of Political Economy.
  3. Berno Buechel & Tim Hellmann & Stefan Kölßner, 2014. "Opinion Dynamics and Wisdom under Conformity," Working Papers 2014.51, Fondazione Eni Enrico Mattei.
  4. Luca Anderlini & Dino Gerardi & Roger Lagunoff, 2008. "A “Super” Folk Theorem for dynastic repeated games," Economic Theory, Springer, vol. 37(3), pages 357-394, December.
  5. 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.

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