Nash Codes for Noisy Channels
This paper studies the stability of communication protocols that deal with transmission errors. We consider a coordination game between an informed sender and an uninformed receiver, who communicate over a noisy channel. The sender’s strategy, called a code, maps states of nature to signals. The receiver’s best response is to decode the received channel output as the state with highest expected receiver payoff. Given this decoding, an equilibrium or “Nash code” results if the sender encodes every state as prescribed. We show two theorems that give sufficient conditions for Nash codes. First, a receiver-optimal code defines a Nash code. A second, more surprising observation holds for communication over a binary channel, which is used independently a number of times, a basic model of information transmission: under a minimal “monotonicity” requirement for breaking ties when decoding, which holds generically, every code is a Nash code.
Volume (Year): 62 (2014)
Issue (Month): 6 (December)
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- Emir Kamenica & Matthew Gentzkow, 2011.
American Economic Review,
American Economic Association, vol. 101(6), pages 2590-2615, October.
- Emir Kamenica & Matthew Gentzkow, 2009. "Bayesian Persuasion," NBER Working Papers 15540, National Bureau of Economic Research, Inc.
- Emir Kamenica & Matthew Gentzkow, 2009. "Bayesian Persuasion," NajEcon Working Paper Reviews 814577000000000369, www.najecon.org.
- Hernández, Penélope & Urbano, Amparo & Vila, José E., 2012. "Pragmatic languages with universal grammars," Games and Economic Behavior, Elsevier, vol. 76(2), pages 738-752.
- Penelope Hernandez & Amparo Urbano Salvador & Jose E. Vila, 2010. "Pragmatic Languages with Universal Grammars," Discussion Papers in Economic Behaviour 0110, University of Valencia, ERI-CES.
- Penelope Hernandez & Amparo Urbano Salvador & Jose E. Vila, 2010. "Nash Equilibrium and information transmission coding and decoding rules," Discussion Papers in Economic Behaviour 0910, University of Valencia, ERI-CES.
- Pawlowitsch, Christina, 2008. "Why evolution does not always lead to an optimal signaling system," Games and Economic Behavior, Elsevier, vol. 63(1), pages 203-226, May.
- Rubinstein, Ariel & Glazer, Jacob, 2006. "A study in the pragmatics of persuasion: a game theoretical approach," Theoretical Economics, Econometric Society, vol. 1(4), pages 395-410, December.
- Warneryd Karl, 1993. "Cheap Talk, Coordination, and Evolutionary Stability," Games and Economic Behavior, Elsevier, vol. 5(4), pages 532-546, October.
- Jäger, 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.
- repec:pit:wpaper:381 is not listed on IDEAS
- Koessler, Frederic, 2001. "Common knowledge and consensus with noisy communication," Mathematical Social Sciences, Elsevier, vol. 42(2), pages 139-159, September.
- Frédéric Koessler, 2000. "Common knowledge and consensus with noisy communication," Working Papers of BETA 2000-05, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
- Frederic Koessler, 2000. "Common Knowledge and Consensus with Noisy Communication," Econometric Society World Congress 2000 Contributed Papers 0887, Econometric Society.
- Jacob Glazer & Ariel Rubinstein, 2004. "On Optimal Rules of Persuasion," Econometrica, Econometric Society, vol. 72(6), pages 1715-1736, November.
- 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.
- Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
- Michael Spence, 1973. "Job Market Signaling," The Quarterly Journal of Economics, Oxford University Press, vol. 87(3), pages 355-374. Full references (including those not matched with items on IDEAS)
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