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Dynamic Strategic Information Transmission

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Abstract

This paper studies strategic information transmission in a dynamic environment where, each period, a privately informed expert sends a message and a decision maker takes an action. Our main result is that, in contrast to a static environment, full information revelation is possible. The gradual revelation of information and the eventual full revelation is supported by the dynamic rewards and punishments. The construction of a fully revealing equilibrium relies on two key features. The first feature is that the expert is incentivized, via appropriate actions, to join separable groups in which she initially pools with far-away types, then later reveals her type. The second feature is the use of trigger strategies. The decision maker is incentivized by the reward of further information revelation if he chooses the separation-inducing actions, and the threat of a stop in information release if he does not. Our equilibrium is non-monotonic. With monotonic partition equilibria, full revelation is impossible.

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Bibliographic Info

Paper provided by Cowles Foundation for Research in Economics, Yale University in its series Cowles Foundation Discussion Papers with number 1802.

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Length: 48 pages
Date of creation: May 2011
Date of revision: Jun 2011
Handle: RePEc:cwl:cwldpp:1802

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Keywords: Asymmetric information; Cheap talk; Dynamic strategic communication; Full information revelation;

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References

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  1. V. Crawford & J. Sobel, 2010. "Strategic Information Transmission," Levine's Working Paper Archive 544, David K. Levine.
  2. Sandeep Baliga & Tomas Sjostrom, 2001. "Arms Races and Negotiations," Levine's Working Paper Archive 391749000000000005, David K. Levine.
  3. Luca Anderlini & Dino Gerardi & Roger Lagunoff, 2012. "Communication and Learning," Review of Economic Studies, Oxford University Press, vol. 79(2), pages 419-450.
  4. Jerome Mathis, 2006. "Full Revelation of Information in Sender-Receiver Games of Persuasion," THEMA Working Papers 2006-02, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  5. Robert J. Aumann & Sergiu Hart, 2002. "Long Cheap Talk," Discussion Paper Series dp284, The Center for the Study of Rationality, Hebrew University, Jerusalem, revised Nov 2002.
  6. Goltsman, Maria & Hörner, Johannes & Pavlov, Gregory & Squintani, Francesco, 2009. "Mediation, arbitration and negotiation," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1397-1420, July.
  7. Maria Goltsman & Gregory Pavlov, 2008. "How to Talk to Multiple Audiences," UWO Department of Economics Working Papers 20081, University of Western Ontario, Department of Economics.
  8. Ronny Razin & Gilat Levy, 2004. "Multidimentional Cheap Talk," 2004 Meeting Papers 184, Society for Economic Dynamics.
  9. Francoise Forges & Frédéric Koessler, 2006. "Long Persuasion Games," CESifo Working Paper Series 1669, CESifo Group Munich.
  10. Susan Athey & Ilya Segal, 2007. "An Efficient Dynamic Mechanism," Levine's Bibliography 122247000000001134, UCLA Department of Economics.
  11. Kartik, Navin & Ottaviani, Marco & Squintani, Francesco, 2007. "Credulity, lies, and costly talk," Journal of Economic Theory, Elsevier, vol. 134(1), pages 93-116, May.
  12. Marco Ottaviani & Peter Sorensen, 1999. "Professional Advice," Game Theory and Information 9906003, EconWPA.
  13. Renault, Jérôme & Solan, Eilon & Vieille, Nicolas, 2013. "Dynamic sender–receiver games," Journal of Economic Theory, Elsevier, vol. 148(2), pages 502-534.
  14. Gilat Levy & Ronny Razin, 2007. "On the Limits of Communication in Multidimensional Cheap Talk: A Comment," Econometrica, Econometric Society, vol. 75(3), pages 885-893, 05.
  15. Ying Chen & Navin Kartik & Joel Sobel, 2008. "Selecting Cheap-Talk Equilibria," Econometrica, Econometric Society, vol. 76(1), pages 117-136, 01.
  16. repec:rje:randje:v:37:y:2006:1:p:155-175 is not listed on IDEAS
  17. Sandeep Baliga & Tomas Sjöström, 2006. "Strategic Ambiguity and Arms Proliferation," Levine's Bibliography 122247000000001247, UCLA Department of Economics.
  18. Sandeep Baliga & Tomas Sjostrom, 2012. "The Strategy of Manipulating Conflict," American Economic Review, American Economic Association, vol. 102(6), pages 2897-2922, October.
  19. Frédéric Koessler & Françoise Forges, 2008. "Multistage Communication With And Without Verifiable Types," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 10(02), pages 145-164.
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Citations

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Cited by:
  1. Luca Anderlini & Dino Gerardi & Roger Lagunoff, 2008. "Communication and Learning," Cowles Foundation Discussion Papers 1639, Cowles Foundation for Research in Economics, Yale University.
  2. Forges, Françoise, 2010. "Communication in Bayesian games: Overview of work on implementing mediators in game theory," Economics Papers from University Paris Dauphine 123456789/5279, Paris Dauphine University.
  3. Peter Thompson & Jing Chen, 2011. "Disagreements, employee spinoffs and the choice of technology," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 14(3), pages 455-474, July.
  4. Anton Kolotilin, 2013. "Optimal Information Disclosure: Quantity vs. Quality," Discussion Papers 2013-19, School of Economics, The University of New South Wales.

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