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Information Transmission in Nested Sender-Receiver Games

Author

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  • Sidartha Gordon

    (Département d'économie)

  • Ying Chen

    (Department of Economics (Johns Hopkins University))

Abstract

We introduce a “nestedness” relation for a general class of sender-receiver games and compare equilibrium properties, in particular the amount of information transmitted, across games that are nested. Roughly, game is nested in game if the players’s optimal actions are closer in game. We show that under some conditions, more information is transmitted in the nested game in the sense that the receiver’s expected equilibrium payoff is higher. The results generalize the comparative statics and welfare comparisons with respect to preferences in the seminal paper of Crawford and Sobel (1982). We also derive new results with respect to changes in priors in addition to changes in preferences. We illustrate the usefulness of the results in three applications: (i) delegation to an intermediary with a different prior, the choice between centralization and delegation, and two-way communication with an informed principal.

Suggested Citation

  • Sidartha Gordon & Ying Chen, 2014. "Information Transmission in Nested Sender-Receiver Games," Sciences Po Economics Discussion Papers 2014-04, Sciences Po Departement of Economics.
  • Handle: RePEc:spo:wpecon:info:hdl:2441/5adcidkke9omt0s9p6m01j1rh
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    References listed on IDEAS

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    1. Junichiro Ishida & Takashi Shimizu, 2016. "Cheap talk with an informed receiver," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(1), pages 61-72, April.
    2. Seidmann, Daniel J., 1990. "Effective cheap talk with conflicting interests," Journal of Economic Theory, Elsevier, vol. 50(2), pages 445-458, April.
    3. Yeon-Koo Che & Navin Kartik, 2009. "Opinions as Incentives," Journal of Political Economy, University of Chicago Press, vol. 117(5), pages 815-860, October.
    4. Watson, Joel, 1996. "Information Transmission When the Informed Party Is Confused," Games and Economic Behavior, Elsevier, vol. 12(1), pages 143-161, January.
    5. John K.‐H. Quah & Bruno Strulovici, 2012. "Aggregating the Single Crossing Property," Econometrica, Econometric Society, vol. 80(5), pages 2333-2348, September.
    6. Milgrom, Paul & Roberts, John, 1994. "Comparing Equilibria," American Economic Review, American Economic Association, vol. 84(3), pages 441-459, June.
    7. Natalia Lazzati, 2013. "Comparison of equilibrium actions and payoffs across players in games of strategic complements," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(3), pages 777-788, November.
    8. Ottaviani, Marco & Sorensen, Peter Norman, 2006. "Professional advice," Journal of Economic Theory, Elsevier, vol. 126(1), pages 120-142, January.
    9. Olszewski, Wojciech, 2004. "Informal communication," Journal of Economic Theory, Elsevier, vol. 117(2), pages 180-200, August.
    10. Ivanov, Maxim, 2010. "Communication via a strategic mediator," Journal of Economic Theory, Elsevier, vol. 145(2), pages 869-884, March.
    11. Ying Chen & Navin Kartik & Joel Sobel, 2008. "Selecting Cheap-Talk Equilibria," Econometrica, Econometric Society, vol. 76(1), pages 117-136, January.
    12. 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.
    13. Wouter Dessein, 2002. "Authority and Communication in Organizations," Review of Economic Studies, Oxford University Press, vol. 69(4), pages 811-838.
    14. Wei Li, 2010. "Peddling Influence through Intermediaries," American Economic Review, American Economic Association, vol. 100(3), pages 1136-1162, June.
    15. Chen, Ying, 2012. "Value of public information in sender–receiver games," Economics Letters, Elsevier, vol. 114(3), pages 343-345.
    16. 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.
    17. Ambrus, Attila & Azevedo, Eduardo M. & Kamada, Yuichiro, 2013. "Hierarchical cheap talk," Theoretical Economics, Econometric Society, vol. 8(1), January.
    18. Milton Harris & Artur Raviv, 2005. "Allocation of Decision-making Authority," Review of Finance, Springer, vol. 9(3), pages 353-383, September.
    19. Lai, Ernest K., 2014. "Expert advice for amateurs," Journal of Economic Behavior & Organization, Elsevier, vol. 103(C), pages 1-16.
    20. 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.
    21. Szalay, Dezsö, 2012. "Strategic information transmission and stochastic orders," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 386, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    22. 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. Bilancini, Ennio & Boncinelli, Leonardo, 2018. "Signaling with costly acquisition of signals," Journal of Economic Behavior & Organization, Elsevier, vol. 145(C), pages 141-150.
    2. Gordon Rausser & Leo Simon & Jinhua Zhao, 2015. "Rational exaggeration and counter-exaggeration in information aggregation games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(1), pages 109-146, May.
    3. Kellner, Christian & Le Quement, Mark T., 2018. "Endogenous ambiguity in cheap talk," Journal of Economic Theory, Elsevier, vol. 173(C), pages 1-17.
    4. Saori Chiba & Kazumi Hori, 2020. "Two-sided Strategic Information Transmission," KIER Working Papers 1029, Kyoto University, Institute of Economic Research.
    5. Frug, Alexander, 2016. "A note on optimal cheap talk equilibria in a discrete state space," Games and Economic Behavior, Elsevier, vol. 99(C), pages 180-185.
    6. Oded Berman & Mohammad M. Fazel-Zarandi & Dmitry Krass, 2019. "Truthful Cheap Talk: Why Operational Flexibility May Lead to Truthful Communication," Management Science, INFORMS, vol. 65(4), pages 1624-1641, April.
    7. Alonso, Ricardo & Dessein, Wouter & Matouschek, Niko, 2015. "Organizing to adapt and compete," LSE Research Online Documents on Economics 58647, London School of Economics and Political Science, LSE Library.
    8. Szalay, Dezsö, 2012. "Strategic information transmission and stochastic orders," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 386, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.

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    More about this item

    Keywords

    sender-receiver games; information transmission; nestedness; inter- mediary; delegation; informed principal.;
    All these keywords.

    JEL classification:

    • D23 - Microeconomics - - Production and Organizations - - - Organizational Behavior; Transaction Costs; Property Rights
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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