Hertel, Johanna and Smith, John (2010): Not so cheap talk: Costly and discrete communication.
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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.
|Item Type:||MPRA Paper|
|Original Title:||Not so cheap talk: Costly and discrete communication|
|Keywords:||information transmission; cheap talk; costly communication|
|Subjects:||D - Microeconomics > D8 - Information, Knowledge, and Uncertainty > D82 - Asymmetric and Private Information ; Mechanism Design
D - Microeconomics > D8 - Information, Knowledge, and Uncertainty > D83 - Search ; Learning ; Information and Knowledge ; Communication ; Belief ; Unawareness
C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C72 - Noncooperative Games
|Depositing User:||John Smith|
|Date Deposited:||29. Jun 2010 19:34|
|Last Modified:||26. Feb 2013 19:20|
Austen-Smith, David (1994), "Strategic Transmission of Costly Information." Econometrica, 62(4), 955-963.
Austen-Smith, David and Banks, Jeffrey (2000), "Cheap Talk and Burned Money." Journal of Economic Theory, 91, 1-16.
Banks, Jeffrey and Sobel, Joel (1987), "Equilibrium Selection in Signalling Games." Econometrica, 55, 647-661.
Blume, Andreas and Board, Oliver (2009), "Language Barriers." Working paper University of Pittsburgh.
Blume, Andreas, Board, Oliver and Kawamura, Kohei (2007), "Noisy talk." Theoretical Economics, 2, 395-440.
Blume, Andreas, DeJong, Douglas, Kim, Yong-Gwan and Sprinkle, Jeffrey (1998), "Experimental evidence on the evolution of meaning of messages in sender-reciever games." American Economic Review, 88, 1323-1340.
Blume, Andreas, DeJong, Douglas, Kim, Yong-Gwan and Sprinkle, Jeffrey (2001), "Evolution of Communication with Partial Common Interest." Games and Economic Behavior, 37, 79-120.
Cai, Hongbin and Wang, Joseph Tao-Yi (2006), "Overcommunication in strategic information transmission games." Games and Economic Behavior, 56, 7-36.
Calvo-Armengol, Antoni, de Marti, Joan and Prat, Andrea (2009), "Endogenous Communication in Complex Organizations." Working paper, Autonoma de Barcelona, Pompeu Fabra and London School of Economics.
Che, Yeon-Koo and Kartik, Navin (2009), "Opinions as Incentives." Journal of Politial Economy, 117(5), 815-860.
Chen, Ying, Kartik, Navin and Sobel, Joel (2008), "Selecting Cheap-Talk Equilibria." Econometrica, 76(1), 117-136.
Cho, In-Koo and Kreps, David (1987), "Signaling Games and Stable Equilibria." Quarterly Journal of Economics, 102, 179-221.
Crawford, Vincent and Sobel, Joel (1982), "Strategic Information Transmission." Econometrica, 50(6), 1431-1451.
Cremer, Jacques, Garicano, Luis and Prat, Andrea (2007), "Language and the Theory of the Firm." Quarterly Journal of Economics, 117, 373-407.
Dewatripoint, Mathias and Tirole, Jean (2005), "Modes of Communication." Journal of Political Economy, 113(6), 1217-1238.
Farrell, Joseph (1993), "Meaning and Credibility in Cheap-Talk Games." Games and Economic Behavior, 5, 514-531.
Fischer, Paul and Stocken, Phillip (2001), "Imperfect Information and Credible Communication." Journal of Accounting Research, 39(1), 119-134.
Goltsman, Maria , Horner, Johannes, Pavlov, Gregory and Squintani, Francesco (2009), "Mediation, Arbitration and Negotiation." Journal of Economic Theory, 144, 1397-1420.
Gossner, Olivier, Hernandez, Penelope and Neyman, Abraham (2006), "Optimal Use of Communication Resources." Econometrica, 74(6), 1603-1636.
Jager, Gerhard, Koch-Metzger, Lars and Riedel, Frank (2009), "Voronoi Languages: Equilibria in Cheap-Talk Games with High-Dimensional Types and Few Signals." Working paper Bielefeld University.
Kartik, Navin (2007), "A Note on Cheap Talk and Burned Money." Journal of Economic Theory, 136, 749-758.
Kawagoe, Toshiji and Takizawa, Hirokazu (2009), "Equilibrium refinement vs.level-k analysis: An experimental study of cheap-talk games with private information." Games and Economic Behavior, 66, 238-255.
Kohlberg, Elon and Mertens, Jean-Francois (1987), "On the Strategic Stability of Equilibria." Econometrica, 54, 1003-1037.
Lipman, Barton (2006), "Why is Language Vague?" Working paper, Boston University.
Matthews, Steven, Okuno-Fujiwara, Masahiro and Postlewaite, Andrew (1991), "Refining Cheap-Talk Equilibria." Journal of Economic Theory, 55, 247-273.
Morgan, John and Stocken, Phillip (2003), "An Analysis of Stock Recommendations," RAND Journal of Economics, 34(1), 183-203.
Morris, Steven (2001), "Political Correctness." Journal of Political Economy, 109(2), 231-265.
Spector, David (2000), "Pure Communication Between Agents with Close Preferences." Economics Letters, 66, 171-178.
Spence, Michael (1973), "Job Market Signaling." Quarterly Journal of Economics, 87(3), 355-374.
Vartiainen, Hannu (2009), "A Simple Model of Secure Public Communication." Theory and Decision, 67, 101-122.
Verrecchia, Robert (1983), "Discretionary disclosure." Journal of Accounting and Economics, 5, 179-194.
Verrecchia, Robert (2001), "Essays on Disclosure." Journal of Accounting and Economics, 32, 97-180.