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Nash Codes for Noisy Channels

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Author Info

  • Penélope Hernández

    ()
    (ERI-CES)

  • Bernhard von Stengel

    ()
    (London School of Economics)

Abstract

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 decision maker, the 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, any code is a Nash code.

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File URL: http://www.uv.es/erices/RePEc/WP/2012/0912.pdf
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Bibliographic Info

Paper provided by University of Valencia, ERI-CES in its series Discussion Papers in Economic Behaviour with number 0912.

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Date of creation: May 2012
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Handle: RePEc:dbe:wpaper:0912

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Related research

Keywords: sender-receiver game; communication; noisy channel;

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  1. Hernández, Penélope & Urbano, Amparo & Vila, José E., 2012. "Pragmatic languages with universal grammars," Games and Economic Behavior, Elsevier, vol. 76(2), pages 738-752.
  2. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
  3. Oliver Board & Andreas Blume, 2008. "Intentional Vagueness," Working Papers 365, University of Pittsburgh, Department of Economics, revised Aug 2008.
  4. Jacob Glazer & Ariel Rubinstein, 2004. "On Optimal Rules of Persuasion," Econometrica, Econometric Society, vol. 72(6), pages 1715-1736, November.
  5. Frédéric Koessler, 2000. "Common knowledge and consensus with noisy communication," Working Papers of BETA 2000-05, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
  6. Crawford, Vincent P & Sobel, Joel, 1982. "Strategic Information Transmission," Econometrica, Econometric Society, vol. 50(6), pages 1431-51, November.
  7. 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.
  8. Spence, A Michael, 1973. "Job Market Signaling," The Quarterly Journal of Economics, MIT Press, vol. 87(3), pages 355-74, August.
  9. Emir Kamenica & Matthew Gentzkow, 2011. "Bayesian Persuasion," American Economic Review, American Economic Association, vol. 101(6), pages 2590-2615, October.
  10. 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.
  11. 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.
  12. Gerhard Jäger & Lars Koch-Metzger & Frank Riedel, 2009. "Voronoi languages: Equilibria in cheap-talk games with high-dimensional types and few signals," Working Papers 420, Bielefeld University, Center for Mathematical Economics.
  13. Warneryd Karl, 1993. "Cheap Talk, Coordination, and Evolutionary Stability," Games and Economic Behavior, Elsevier, vol. 5(4), pages 532-546, October.
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