Pragmatic languages with universal grammars
This paper constructs the equilibrium for a specific code that can be seen as a “universal grammar” in a class of common interest Sender–Receiver games where players communicate through a noisy channel. We propose a Senderʼs signaling strategy which does not depend on either the game payoffs or the initial probability distribution. The Receiverʼs strategy partitions the set of possible sequences into subsets, with a single action assignment to each of them. The Senderʼs signaling strategy is a Nash equilibrium, i.e. when the Receiver responds best to the Senderʼs strategy, the Sender has no incentive to deviate. An example shows that a tie-breaking decoding is crucial for the block-coding strategy to be an equilibrium. Efficiency is analyzed by comparing how close ex-ante expected payoffs are to those of noiseless communication. Moreover, we study how long communication should be to achieve a given payoff-approximation.
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- Jacques Crémer & Luis Garicano & Andrea Prat, 2007.
"Language and the Theory of the Firm,"
The Quarterly Journal of Economics,
Oxford University Press, vol. 122(1), pages 373-407.
- Jacques Cremer & Luis Garicano & Andrea Prat, 2006. "Language and the Theory of the Firm," Levine's Bibliography 784828000000000373, UCLA Department of Economics.
- Lipman Barton L. & Seppi Duane J., 1995. "Robust Inference in Communication Games with Partial Provability," Journal of Economic Theory, Elsevier, vol. 66(2), pages 370-405, August.
- Stefano Demichelis & Jorgen W. Weibull, 2008. "Language, Meaning, and Games: A Model of Communication, Coordination, and Evolution," American Economic Review, American Economic Association, vol. 98(4), pages 1292-1311, September.
- Stefano Demichelis & Jörgen W. Weibull, 2007. "Language, meaning and games: a model of communication, coordination and evolution," Carlo Alberto Notebooks 61, Collegio Carlo Alberto.
- Stefano Demichelis & Jörgen Weibull, 2009. "Language, meaning and games A model of communication, coordination and evolution," Working Papers hal-00354224, HAL.
- repec:pit:wpaper:365 is not listed on IDEAS
- Rubinstein,Ariel, 2000. "Economics and Language," Cambridge Books, Cambridge University Press, number 9780521789905, December.
- Ariel Rubinstein, 2000. "Economics and Language," Online economics textbooks, SUNY-Oswego, Department of Economics, number lang1.
- Rubinstein,Ariel, 2000. "Economics and Language," Cambridge Books, Cambridge University Press, number 9780521593069, December.
- Rubinstein, A., 1998. "Economics and Language," Papers 14-98, Tel Aviv.
- Ariel Rubinstein, 2005. "Economics and Language," Levine's Bibliography 666156000000000654, UCLA Department of Economics.
- A. Rubinstein, 1999. "Economics and Language," Princeton Economic Theory Papers 00s6, Economics Department, Princeton University.
- Board, Oliver J. & Blume, Andreas & Kawamura, Kohei, 2007. "Noisy talk," Theoretical Economics, Econometric Society, vol. 2(4), December.
- Andreas Blume & Oliver Board & Kohei Kawamura, 2007. "Noisy Talk," ESE Discussion Papers 167, Edinburgh School of Economics, University of Edinburgh.
- Michel Balinski & Rida Laraki, 2007. "Election by Majority Judgement: Experimental Evidence," Working Papers hal-00243076, HAL.
- Yaron Azrieli & Ehud Lehrer, 2004. "Categorization generated by prototypes -- an axiomatic approach," Game Theory and Information 0405003, EconWPA.
- Rubinstein, Ariel, 1996. "Why Are Certain Properties of Binary Relations Relatively More Common in Natural Language?," Econometrica, Econometric Society, vol. 64(2), pages 343-355, March.
- 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.
- Koessler, Frederic, 2004. "Strategic knowledge sharing in Bayesian games," Games and Economic Behavior, Elsevier, vol. 48(2), pages 292-320, August.
- Crawford, Vincent P & Sobel, Joel, 1982. "Strategic Information Transmission," Econometrica, Econometric Society, vol. 50(6), pages 1431-1451, November.