Information Transmission in Nested Sender-Receiver Games
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.
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- Yeon-Koo Che & Navin Kartik, 2009.
"Opinions as Incentives,"
Journal of Political Economy,
University of Chicago Press, vol. 117(5), pages 815-860, October.
- Che, Yeon-Koo & Kartik, Navin, 2006. "Opinion as Incentives," MPRA Paper 6094, University Library of Munich, Germany, revised 15 Nov 2007.
- 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.
- Junichiro Ishida & Takashi Shimizu, 2009. "Cheap Talk with an Informed Receiver," ISER Discussion Paper 0746r, Institute of Social and Economic Research, Osaka University, revised Jun 2015.
- Wouter Dessein, 2002. "Authority and Communication in Organizations," Review of Economic Studies, Oxford University Press, vol. 69(4), pages 811-838.
- Wouter Dessein, 2000. "Authority and Communication in Organizations," Econometric Society World Congress 2000 Contributed Papers 1747, Econometric Society.
- Wei Li, 2010. "Peddling Influence through Intermediaries," American Economic Review, American Economic Association, vol. 100(3), pages 1136-1162, June.
- Chen, Ying, 2012. "Value of public information in sender–receiver games," Economics Letters, Elsevier, vol. 114(3), pages 343-345.
- 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.
- Seidmann, Daniel J., 1990. "Effective cheap talk with conflicting interests," Journal of Economic Theory, Elsevier, vol. 50(2), pages 445-458, April.
- Watson, Joel, 1996. "Information Transmission When the Informed Party Is Confused," Games and Economic Behavior, Elsevier, vol. 12(1), pages 143-161, January.
- Ambrus, Attila & Azevedo, Eduardo M. & Kamada, Yuichiro, 2013. "Hierarchical cheap talk," Theoretical Economics, Econometric Society, vol. 8(1), January.
- Milton Harris & Artur Raviv, 2005. "Allocation of Decision-making Authority," Review of Finance, Springer, vol. 9(3), pages 353-383, 09.
- John K.‐H. Quah & Bruno Strulovici, 2012. "Aggregating the Single Crossing Property," Econometrica, Econometric Society, vol. 80(5), pages 2333-2348, 09.
- repec:dpr:wpaper:0746 is not listed on IDEAS
- Lai, Ernest K., 2014. "Expert advice for amateurs," Journal of Economic Behavior & Organization, Elsevier, vol. 103(C), pages 1-16.
- Milgrom, Paul & Roberts, John, 1994. "Comparing Equilibria," American Economic Review, American Economic Association, vol. 84(3), pages 441-459, June.
- 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.
- Jerry R. Green & Nancy L. Stokey, 1980. "A Two-Person Game of Information Transmission," Discussion Papers 418, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- 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.
- 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.
- Crawford, Vincent P & Sobel, Joel, 1982. "Strategic Information Transmission," Econometrica, Econometric Society, vol. 50(6), pages 1431-1451, November.
- V. Crawford & J. Sobel, 2010. "Strategic Information Transmission," Levine's Working Paper Archive 544, David K. Levine.
- 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.
- Paul R. Milgrom, 1979. "Good Nevs and Bad News: Representation Theorems and Applications," Discussion Papers 407R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Olszewski, Wojciech, 2004. "Informal communication," Journal of Economic Theory, Elsevier, vol. 117(2), pages 180-200, August.
- Ivanov, Maxim, 2010. "Communication via a strategic mediator," Journal of Economic Theory, Elsevier, vol. 145(2), pages 869-884, March.
- Ying Chen & Navin Kartik & Joel Sobel, 2008. "Selecting Cheap-Talk Equilibria," Econometrica, Econometric Society, vol. 76(1), pages 117-136, 01. Full references (including those not matched with items on IDEAS)
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