Costly information transmission in continuous time with implications for credit rating announcements
AbstractThis paper formulates a continuous-time information transmission model in which an altruistic sender privately observes a stochastic state variable, and incurs a communication cost when she broadcasts a message. We characterize the sender's optimal announcement strategy using an ordinary differential equation. We prove the optimality of the sender's strategies using a martingale verification argument and show that the sender's optimal strategy involves sending discrete messages. Furthermore, we apply the model to the timing decision of credit rating announcements and provide a framework to study various aspects of rating announcements, such as the probability of rating reversals and the expected time before a rating change.
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Bibliographic InfoArticle provided by Elsevier in its journal Journal of Economic Dynamics and Control.
Volume (Year): 36 (2012)
Issue (Month): 9 ()
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Web page: http://www.elsevier.com/locate/jedc
Dynamic information transmission; Costly talk; Credit rating announcement;
Find related papers by JEL classification:
- D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
- D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Holthausen, Robert W. & Leftwich, Richard W., 1986. "The effect of bond rating changes on common stock prices," Journal of Financial Economics, Elsevier, vol. 17(1), pages 57-89, September.
- Colin Rowat, 2005.
"Non-Linear Strategies in a Linear Quadratic Differential Game,"
05-05, Department of Economics, University of Birmingham.
- Rowat, Colin, 2007. "Non-linear strategies in a linear quadratic differential game," Journal of Economic Dynamics and Control, Elsevier, vol. 31(10), pages 3179-3202, October.
- Colin Rowat, 2005. "Non-linear strategies in a linear quadratic differential game," GE, Growth, Math methods 0502001, EconWPA.
- Hand, John R M & Holthausen, Robert W & Leftwich, Richard W, 1992. " The Effect of Bond Rating Agency Announcements on Bond and Stock Prices," Journal of Finance, American Finance Association, vol. 47(2), pages 733-52, June.
- Sobel, Joel, 1985. "A Theory of Credibility," Review of Economic Studies, Wiley Blackwell, vol. 52(4), pages 557-73, October.
- Rincon-Zapatero, J. P., 2004. "Characterization of Markovian equilibria in a class of differential games," Journal of Economic Dynamics and Control, Elsevier, vol. 28(7), pages 1243-1266, April.
- Altman, Edward I. & Rijken, Herbert A., 2004. "How rating agencies achieve rating stability," Journal of Banking & Finance, Elsevier, vol. 28(11), pages 2679-2714, November.
- Lockwood, Ben, 1996. "Uniqueness of Markov-perfect equilibrium in infinite-time affine-quadratic differential games," Journal of Economic Dynamics and Control, Elsevier, vol. 20(5), pages 751-765, May.
- Duffie, Darrell, et al, 1994. "Stationary Markov Equilibria," Econometrica, Econometric Society, vol. 62(4), pages 745-81, July.
- Martin-Herran, G. & Rincon-Zapatero, J.P., 2005. "Efficient Markov perfect Nash equilibria: theory and application to dynamic fishery games," Journal of Economic Dynamics and Control, Elsevier, vol. 29(6), pages 1073-1096, June.
- Austen-Smith, David, 1994. "Strategic Transmission of Costly Information," Econometrica, Econometric Society, vol. 62(4), pages 955-63, July.
- V. Crawford & J. Sobel, 2010.
"Strategic Information Transmission,"
Levine's Working Paper Archive
544, David K. Levine.
- Stephen Morris, 2001.
Journal of Political Economy,
University of Chicago Press, vol. 109(2), pages 231-265, April.
- Doraszelski, Ulrich & Escobar, Juan, 2008.
"A Theory of Regular Markov Perfect Equilibria in Dynamic Stochastic Games: Genericity, Stability, and Purification,"
CEPR Discussion Papers
6805, C.E.P.R. Discussion Papers.
- Doraszelski, Ulrich & Escobar, Juan, 2010. "A theory of regular Markov perfect equilibria in dynamic stochastic games: genericity, stability, and purification," Theoretical Economics, Econometric Society, vol. 5(3), September.
- Juan Escobar & Ulrich Doraszelski, 2008. "A Theory of Regular Markov Perfect Equilibria\\in Dynamic Stochastic Games: Genericity, Stability, and Purification," 2008 Meeting Papers 453, Society for Economic Dynamics.
- Hefei Wang, 2009. "Reputation acquisition of underwriter analysts - Theory and evidence," Journal of Applied Economics, Universidad del CEMA, vol. 0, pages 331-363, November.
- Navin Kartik, 2008.
"Strategic Communication with Lying Costs,"
2008 Meeting Papers
350, Society for Economic Dynamics.
- Verrecchia, Robert E., 2001. "Essays on disclosure," Journal of Accounting and Economics, Elsevier, vol. 32(1-3), pages 97-180, December.
- Austen-Smith, David & Banks, Jeffrey S., 2000.
"Cheap Talk and Burned Money,"
Journal of Economic Theory,
Elsevier, vol. 91(1), pages 1-16, March.
- Verrecchia, Robert E., 1983. "Discretionary disclosure," Journal of Accounting and Economics, Elsevier, vol. 5(1), pages 179-194, April.
- Anat R. Admati & Paul Pfleiderer, 2004. "Broadcasting Opinions with an Overconfident Sender," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(2), pages 467-498, 05.
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