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Language, meaning and games A model of communication, coordination and evolution

Author

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  • Stefano Demichelis

    (UNIPV - Università degli Studi di Pavia = University of Pavia)

  • Jörgen Weibull

    (SSE - Department of Economics - SSE - Stockholm School of Economics, X-DEP-ECO - Département d'Économie de l'École Polytechnique - X - École polytechnique)

Abstract

Language is arguably a powerful coordination device in real-life interactions. We here develop a game-theoretic model of pre-play communication that generalizes the cheap-talk approach by way of introducing a meaning correspondence between messages and actions, and postulating two axioms met by natural languages. Deviations from this correspondence are called dishonest and players have a lexicographic preference for honesty, second to material payoffs. The model is first applied to two-sided preplay communication in finite and symmetric two-player games and we establish that, in generic and symmetric n × n - coordination games, a Nash equilibrium component in such a lexicographic communication game is evolutionarily stable if and only if it results in the unique Pareto efficient outcome of the underlying game. We extend the approach to one-sided communication in finite, not necessarily symmetric, two-player games.

Suggested Citation

  • Stefano Demichelis & Jörgen Weibull, 2009. "Language, meaning and games A model of communication, coordination and evolution," Working Papers hal-00354224, HAL.
  • Handle: RePEc:hal:wpaper:hal-00354224
    Note: View the original document on HAL open archive server: https://hal.science/hal-00354224
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    1. Kenneth Clark & Stephen Kay & Martin Sefton, 2001. "When are Nash equilibria self-enforcing? An experimental analysis," International Journal of Game Theory, Springer;Game Theory Society, vol. 29(4), pages 495-515.
    2. Bomze Immanuel M. & Weibull Jorgen W., 1995. "Does Neutral Stability Imply Lyapunov Stability?," Games and Economic Behavior, Elsevier, vol. 11(2), pages 173-192, November.
    3. John Conlisk, 2001. "Costly Predation and the Distribution of Competence," American Economic Review, American Economic Association, vol. 91(3), pages 475-484, June.
    4. Charness, Gary & Dufwenberg, Martin, 2003. "Promises & Partnership," Research Papers in Economics 2003:3, Stockholm University, Department of Economics.
    5. Warneryd, Karl, 1991. "Evolutionary stability in unanimity games with cheap talk," Economics Letters, Elsevier, vol. 36(4), pages 375-378, August.
    6. Robson, A.J., 1989. "Efficiency In Evolutionary Games: Darwin, Nash And Secret Handshake," Papers 89-22, Michigan - Center for Research on Economic & Social Theory.
    7. Van Huyck, John B & Battalio, Raymond C & Beil, Richard O, 1990. "Tacit Coordination Games, Strategic Uncertainty, and Coordination Failure," American Economic Review, American Economic Association, vol. 80(1), pages 234-248, March.
    8. Tore Ellingsen & Magnus Johannesson, 2004. "Promises, Threats and Fairness," Economic Journal, Royal Economic Society, vol. 114(495), pages 397-420, April.
    9. Myerson, Roger B., 1989. "Credible negotiation statements and coherent plans," Journal of Economic Theory, Elsevier, vol. 48(1), pages 264-303, June.
    10. Ingela Alger & Régis Renault, 2006. "Screening Ethics When Honest Agents Care About Fairness ," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(1), pages 59-85, February.
    11. Charness, Gary, 2000. "Self-Serving Cheap Talk: A Test Of Aumann's Conjecture," Games and Economic Behavior, Elsevier, vol. 33(2), pages 177-194, November.
    12. Karl WÄrneryd, 1998. "Communication, complexity, and evolutionary stability," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(4), pages 599-609.
    13. Blume Andreas & Kim Yong-Gwan & Sobel Joel, 1993. "Evolutionary Stability in Games of Communication," Games and Economic Behavior, Elsevier, vol. 5(4), pages 547-575, October.
    14. repec:hoo:wpaper:e-89-7 is not listed on IDEAS
    15. Uri Gneezy, 2005. "Deception: The Role of Consequences," American Economic Review, American Economic Association, vol. 95(1), pages 384-394, March.
    16. Farrell, Joseph & Gibbons, Robert, 1989. "Cheap Talk with Two Audiences," American Economic Review, American Economic Association, vol. 79(5), pages 1214-1223, December.
    17. Roland Benabou & Guy Laroque, 1992. "Using Privileged Information to Manipulate Markets: Insiders, Gurus, and Credibility," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(3), pages 921-958.
    18. Farrell, Joseph, 1988. "Communication, coordination and Nash equilibrium," Economics Letters, Elsevier, vol. 27(3), pages 209-214.
    19. Crawford, Vincent, 1998. "A Survey of Experiments on Communication via Cheap Talk," Journal of Economic Theory, Elsevier, vol. 78(2), pages 286-298, February.
    20. Ariel Rubinstein, 2000. "Economics and Language," Online economics textbooks, SUNY-Oswego, Department of Economics, number lang1.
    21. Gary Charness & Martin Dufwenberg, 2006. "Promises and Partnership," Econometrica, Econometric Society, vol. 74(6), pages 1579-1601, November.
    22. Ingela Alger & Régis Renault, 2007. "Screening Ethics when Honest Agents Keep their Word," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 30(2), pages 291-311, February.
    23. Binmore, Kenneth G. & Samuelson, Larry, 1992. "Evolutionary stability in repeated games played by finite automata," Journal of Economic Theory, Elsevier, vol. 57(2), pages 278-305, August.
    24. Blume, Andreas, 1998. "Communication, Risk, and Efficiency in Games," Games and Economic Behavior, Elsevier, vol. 22(2), pages 171-202, February.
    25. Abreu, Dilip & Rubinstein, Ariel, 1988. "The Structure of Nash Equilibrium in Repeated Games with Finite Automata," Econometrica, Econometric Society, vol. 56(6), pages 1259-1281, November.
    26. Banerjee, A. & Weibull, J.W., 1993. "Evolutionary Selection with Discriminating Players," Harvard Institute of Economic Research Working Papers 1637, Harvard - Institute of Economic Research.
    27. Ken Binmore & Larry Samuelson, "undated". "Evolutionary Drift And Equilibrium Selection," ELSE working papers 049, ESRC Centre on Economics Learning and Social Evolution.
    28. Banerjee, Abhijit & Weibull, Jorgen W., 2000. "Neutrally Stable Outcomes in Cheap-Talk Coordination Games," Games and Economic Behavior, Elsevier, vol. 32(1), pages 1-24, July.
    29. Sobel, Joel, 1993. "Evolutionary stability and efficiency," Economics Letters, Elsevier, vol. 42(2-3), pages 301-312.
    30. Alger, Ingela & Albert Ma, Ching-to, 2003. "Moral hazard, insurance, and some collusion," Journal of Economic Behavior & Organization, Elsevier, vol. 50(2), pages 225-247, February.
    31. Farrell Joseph, 1993. "Meaning and Credibility in Cheap-Talk Games," Games and Economic Behavior, Elsevier, vol. 5(4), pages 514-531, October.
    32. Lundquist, Tobias & Ellingsen, Tore & Gribbe, Erik & Johannesson, Magnus, 2007. "The cost of lying," SSE/EFI Working Paper Series in Economics and Finance 666, Stockholm School of Economics.
    33. Miettinen, Topi, 2013. "Promises and conventions – An approach to pre-play agreements," Games and Economic Behavior, Elsevier, vol. 80(C), pages 68-84.
    34. Sjaak Hurkens & Karl Schlag, 2003. "Evolutionary insights on the willingness to communicate," International Journal of Game Theory, Springer;Game Theory Society, vol. 31(4), pages 511-526, September.
    35. Vincent P. Crawford, 2003. "Lying for Strategic Advantage: Rational and Boundedly Rational Misrepresentation of Intentions," American Economic Review, American Economic Association, vol. 93(1), pages 133-149, March.
    36. K. Schlag, 2010. "Cheap Talk and Evolutionary Dynamics," Levine's Working Paper Archive 541, David K. Levine.
    37. Samuelson, Larry & Swinkels, Jeroen M., 2003. "Evolutionary stability and lexicographic preferences," Games and Economic Behavior, Elsevier, vol. 44(2), pages 332-342, August.
    38. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-1037, September.
    39. Rubinstein, Ariel, 1986. "Finite automata play the repeated prisoner's dilemma," Journal of Economic Theory, Elsevier, vol. 39(1), pages 83-96, June.
    40. Gilboa, Itzhak & Matsui, Akihiko, 1991. "Social Stability and Equilibrium," Econometrica, Econometric Society, vol. 59(3), pages 859-867, May.
    41. Rubinstein,Ariel, 2000. "Economics and Language," Cambridge Books, Cambridge University Press, number 9780521593069.
    42. Navin Kartik, 2005. "Information Transmission with Cheap and Almost-Cheap Talk," NajEcon Working Paper Reviews 666156000000000650, www.najecon.org.
    43. Ken Binmore & Larry Samuelson, "undated". "Evolutionary Drift and Equilibrium Selection," ELSE working papers 011, ESRC Centre on Economics Learning and Social Evolution.
    44. Karl H. Schlag, "undated". "When Does Evolution Lead to Efficiency in Communication Games?," ELSE working papers 026, ESRC Centre on Economics Learning and Social Evolution.
    45. Fudenberg, Drew & Maskin, Eric, 1990. "Evolution and Cooperation in Noisy Repeated Games," American Economic Review, American Economic Association, vol. 80(2), pages 274-279, May.
    46. Binmore, K. & Samuelson, L., 1990. "Evolutionary Stability In Repeated Games Played By Finite Automata," Working papers 90-29, Wisconsin Madison - Social Systems.
    47. Russell Cooper & Douglas V. DeJong & Robert Forsythe & Thomas W. Ross, 1989. "Communication in the Battle of the Sexes Game: Some Experimental Results," RAND Journal of Economics, The RAND Corporation, vol. 20(4), pages 568-587, Winter.
    48. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, December.
    49. Valley, Kathleen & Thompson, Leigh & Gibbons, Robert & Bazerman, Max H., 2002. "How Communication Improves Efficiency in Bargaining Games," Games and Economic Behavior, Elsevier, vol. 38(1), pages 127-155, January.
    50. COOPER, R. & DEJONG, D.V. & FORSYTHE, R. & Tom Ross, 1989. "Communication In The Battle Of The Sexes Game," Carleton Industrial Organization Research Unit (CIORU) 89-03, Carleton University, Department of Economics.
    51. Binmore, Ken & Samuelson, Larry, 1997. "Muddling Through: Noisy Equilibrium Selection," Journal of Economic Theory, Elsevier, vol. 74(2), pages 235-265, June.
    52. Blume, Andreas & Ortmann, Andreas, 2007. "The effects of costless pre-play communication: Experimental evidence from games with Pareto-ranked equilibria," Journal of Economic Theory, Elsevier, vol. 132(1), pages 274-290, January.
    53. Rubinstein,Ariel, 2000. "Economics and Language," Cambridge Books, Cambridge University Press, number 9780521789905.
    54. Joel Sobel, 1985. "A Theory of Credibility," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(4), pages 557-573.
    55. Kim, Yong-Gwan & Sobel, Joel, 1995. "An Evolutionary Approach to Pre-play Communication," Econometrica, Econometric Society, vol. 63(5), pages 1181-1193, September.
    56. Gale, John & Binmore, Kenneth G. & Samuelson, Larry, 1995. "Learning to be imperfect: The ultimatum game," Games and Economic Behavior, Elsevier, vol. 8(1), pages 56-90.
    57. Samuelson, Larry & Swinkels, Jeroen M., 2003. "Evolutionary stability and lexicographic preferences," Games and Economic Behavior, Elsevier, vol. 44(2), pages 332-342, August.
    58. Crawford, Vincent P & Sobel, Joel, 1982. "Strategic Information Transmission," Econometrica, Econometric Society, vol. 50(6), pages 1431-1451, November.
    59. Kartik, Navin & Ottaviani, Marco & Squintani, Francesco, 2007. "Credulity, lies, and costly talk," Journal of Economic Theory, Elsevier, vol. 134(1), pages 93-116, May.
    60. Binmore, K. & Samuelson, L. & Gale, J., 1993. "Learning to be Imperfect: The Ultimatum Game," Working papers 9325, Wisconsin Madison - Social Systems.
    61. Sjaak Hurkens & Navin Kartik, 2006. "(When) Would I Lie To You? Comment on ?Deception: The Role of Consequences?," UFAE and IAE Working Papers 664.06, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
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    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • Z13 - Other Special Topics - - Cultural Economics - - - Economic Sociology; Economic Anthropology; Language; Social and Economic Stratification

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