Not so cheap talk: Costly and discrete communication
We model an interaction between an informed sender and an uninformed receiver. Like the classic cheap talk setup, the informed player sends a message to an uninformed receiver who is to take an action which affects the payoffs of both players. However, unlike the classic cheap talk setup, the sender can communicate only through the use of discrete messages. In particular, the sender has a finite set of message elements with which to compose messages. The sender incurs a communication cost which is increasing in the number of elements contained in the message. We characterize the resulting equilibria with a permissive out-of-equilibrium restriction. We introduce a stronger out-of-equilibrium requirement and show that if the sender and receiver have aligned preferences regarding the action of the receiver then only the most informative equilibrium exists. When the preferences between players are not aligned, we show that our stronger condition does not guarantee uniqueness and we provide an example where an increase in communication costs can improve communication. As we show in an example, this improvement can occur to such an extent that an equilibrium can outperform the Goltsman et. al. (2009) upper bound for payoffs in mediated communication.
|Date of creation:||28 Jun 2010|
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- 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.
- Duffy, Sean & Hartwig, Tyson & Smith, John, 2011.
"Costly and discrete communication: An experimental investigation,"
30914, University Library of Munich, Germany.
- Sean Duffy & Tyson Hartwig & John Smith, 2014. "Costly and discrete communication: an experimental investigation," Theory and Decision, Springer, vol. 76(3), pages 395-417, March.
- Duffy, Sean & Hartwig, Tyson & Smith, John, 2010. "Costly and discrete communication: An experimental investigation," MPRA Paper 24148, University Library of Munich, Germany.
- Dewatripont, Mathias & Tirole, Jean, 2004.
"Modes of Communication,"
IDEI Working Papers
323, Institut d'Économie Industrielle (IDEI), Toulouse.
- Blume, A. & DeJong, D.V. & Kim, Y-G. & Sprinkle, G., 1997.
"Evolution of Communication With Partial Common Interest,"
1997-115, Tilburg University, Center for Economic Research.
- Blume, Andreas & DeJong, Douglas V. & Kim, Yong-Gwan & Sprinkle, Geoffrey B., 2001. "Evolution of Communication with Partial Common Interest," Games and Economic Behavior, Elsevier, vol. 37(1), pages 79-120, October.
- Blume, Andreas & DeJong, Douglas V. & Kim, Yong-Gwan & Sprinkle, Geoffrey B., 1997. "Evolution of Communication with Partial Common Interest," Working Papers 97-18, University of Iowa, Department of Economics.
- Joseph Farrell., 1986.
"Meaning and Credibility in Cheap-Talk Games,"
Economics Working Papers
8609, University of California at Berkeley.
- J. Farrell, 2010. "Meaning and Credibility in Cheap Talk Games," Levine's Working Paper Archive 533, David K. Levine.
- Farrell, Joseph, 1986. "Meaning and Credibility in Cheap-Talk Games," Department of Economics, Working Paper Series qt4968n3fz, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
- Andreas Blume & Oliver Board & Kohei Kawamura, 2007.
ESE Discussion Papers
167, Edinburgh School of Economics, University of Edinburgh.
- Olivier Gossner & Pénélope Hernández & Abraham Neyman, 2006.
"Optimal use of communication resources,"
- Olivier Gossner & Abraham Neyman & Penélope Hernández, 2005. "Optimal Use Of Communication Resources," Working Papers. Serie AD 2005-06, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- Olivier Gossner & Penelope Hernandez & Abraham Neyman, 2004. "Optimal Use of Communication Resources," Discussion Paper Series dp377, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
- E. Kohlberg & J.-F. Mertens, 1998.
"On the Strategic Stability of Equilibria,"
Levine's Working Paper Archive
445, David K. Levine.
- Jacques Cremer & Luis Garicano & Andrea Prat, 2006.
"Language and the Theory of the Firm,"
784828000000000373, UCLA Department of Economics.
- Kartik, Navin, 2007. "A note on cheap talk and burned money," Journal of Economic Theory, Elsevier, vol. 136(1), pages 749-758, September.
- Matthews, Steven A. & Okuno-Fujiwara, Masahiro & Postlewaite, Andrew, 1991.
"Refining cheap-talk equilibria,"
Journal of Economic Theory,
Elsevier, vol. 55(2), pages 247-273, December.
- Paul E. Fischer & Phillip C. Stocken, 2001. "Imperfect Information and Credible Communication," Journal of Accounting Research, Wiley Blackwell, vol. 39(1), pages 119-134, 06.
- Cai, Hongbin & Wang, Joseph Tao-Yi, 2006. "Overcommunication in strategic information transmission games," Games and Economic Behavior, Elsevier, vol. 56(1), pages 7-36, July.
- Yeon-Koo Che & Navin Kartik, 2009.
"Opinions as Incentives,"
Journal of Political Economy,
University of Chicago Press, vol. 117(5), pages 815-860, October.
- Stephen Morris, 1999.
Cowles Foundation Discussion Papers
1242, Cowles Foundation for Research in Economics, Yale University.
- Austen-Smith, David & Banks, Jeffrey S., 2000.
"Cheap Talk and Burned Money,"
Journal of Economic Theory,
Elsevier, vol. 91(1), pages 1-16, March.
- Hugo M. Mialon & Sue H. Mialon, 2013. "Go Figure: The Strategy of Nonliteral Speech," American Economic Journal: Microeconomics, American Economic Association, vol. 5(2), pages 186-212, May.
- Banks, Jeffrey S & Sobel, Joel, 1987.
"Equilibrium Selection in Signaling Games,"
Econometric Society, vol. 55(3), pages 647-61, May.
- Verrecchia, Robert E., 2001. "Essays on disclosure," Journal of Accounting and Economics, Elsevier, vol. 32(1-3), pages 97-180, December.
- Kartik, Navin & Ottaviani, Marco & Squintani, Francesco, 2007. "Credulity, lies, and costly talk," Journal of Economic Theory, Elsevier, vol. 134(1), pages 93-116, May.
- Verrecchia, Robert E., 1983. "Discretionary disclosure," Journal of Accounting and Economics, Elsevier, vol. 5(1), pages 179-194, April.
- Blume, Andreas, et al, 1998. "Experimental Evidence on the Evolution of Meaning of Messages in Sender-Receiver Games," American Economic Review, American Economic Association, vol. 88(5), pages 1323-40, December.
- Kawagoe, Toshiji & Takizawa, Hirokazu, 2009. "Equilibrium refinement vs. level-k analysis: An experimental study of cheap-talk games with private information," Games and Economic Behavior, Elsevier, vol. 66(1), pages 238-255, May.
- In-Koo Cho & David M. Kreps, 1987.
"Signaling Games and Stable Equilibria,"
The Quarterly Journal of Economics,
Oxford University Press, vol. 102(2), pages 179-221.
- JÃ¤ger, Gerhard & Koch-Metzger, Lars & Riedel, Frank, 2011. "Voronoi languages. Equilibria in cheap-talk games with high-dimensional types and few signals," Center for Mathematical Economics Working Papers 420, Center for Mathematical Economics, Bielefeld University.
- Austen-Smith, David, 1994. "Strategic Transmission of Costly Information," Econometrica, Econometric Society, vol. 62(4), pages 955-63, July.
- Spector, David, 2000. "Pure communication between agents with close preferences," Economics Letters, Elsevier, vol. 66(2), pages 171-178, February.
- Hannu Vartiainen, 2009. "A Simple Model of Secure Public Communication," Theory and Decision, Springer, vol. 67(1), pages 101-122, July.
- Ying Chen & Navin Kartik & Joel Sobel, 2008. "Selecting Cheap-Talk Equilibria," Econometrica, Econometric Society, vol. 76(1), pages 117-136, 01.
- Cho, In-Koo & Sobel, Joel, 1990. "Strategic stability and uniqueness in signaling games," Journal of Economic Theory, Elsevier, vol. 50(2), pages 381-413, April.
- V. Crawford & J. Sobel, 2010.
"Strategic Information Transmission,"
Levine's Working Paper Archive
544, David K. Levine.
- Michael Spence, 1973. "Job Market Signaling," The Quarterly Journal of Economics, Oxford University Press, vol. 87(3), pages 355-374.
- Morgan, John & Stocken, Phillip C, 2003.
" An Analysis of Stock Recommendations,"
RAND Journal of Economics,
The RAND Corporation, vol. 34(1), pages 183-203, Spring.
- Prat, Andrea & de Martí, Joan & Calvó-Armengol, Antoni, 2015. "Communication and influence," Theoretical Economics, Econometric Society, vol. 10(2), May.
- repec:pit:wpaper:365 is not listed on IDEAS
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