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Let’s Talk It Over: Coordination Via Preplay Communication With Level-k Thinking

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  • Vincent P Crawford

Abstract

This paper reconsiders Farrell׳s (1987) and Rabin׳s (1994) analyses of coordination via preplay communication, focusing on Farrell׳s analysis of Battle of the Sexes. Replacing their equilibrium and rationalizability assumptions with a structural non-equilibrium model based on level-k thinking, I reevaluate Farrell and Rabin׳s assumptions on how players use language and their conclusions on the limits of communication in bringing about coordination. The analysis partly supports their assumptions about how players use language, but suggests that their “agreements” do not reflect a full meeting of the minds. A level-k analysis also yields very different conclusions about the effectiveness of communication.
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  • Vincent P Crawford, 2007. "Let’s Talk It Over: Coordination Via Preplay Communication With Level-k Thinking," Levine's Bibliography 122247000000001449, UCLA Department of Economics.
  • Handle: RePEc:cla:levrem:122247000000001449
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    References listed on IDEAS

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    1. Vincent P. Crawford & Nagore Iriberri, 2007. "Level-k Auctions: Can a Nonequilibrium Model of Strategic Thinking Explain the Winner's Curse and Overbidding in Private-Value Auctions?," Econometrica, Econometric Society, vol. 75(6), pages 1721-1770, November.
    2. Stahl, Dale II & Wilson, Paul W., 1994. "Experimental evidence on players' models of other players," Journal of Economic Behavior & Organization, Elsevier, vol. 25(3), pages 309-327, December.
    3. Vincent P. Crawford & Uri Gneezy & Yuval Rottenstreich, 2008. "The Power of Focal Points Is Limited: Even Minute Payoff Asymmetry May Yield Large Coordination Failures," American Economic Review, American Economic Association, vol. 98(4), pages 1443-1458, September.
    4. Rabin Matthew, 1994. "A Model of Pre-game Communication," Journal of Economic Theory, Elsevier, vol. 63(2), pages 370-391, August.
    5. Navin Kartik, 2005. "Information Transmission with Cheap and Almost-Cheap Talk," NajEcon Working Paper Reviews 666156000000000650, www.najecon.org.
    6. Stahl Dale O. & Wilson Paul W., 1995. "On Players' Models of Other Players: Theory and Experimental Evidence," Games and Economic Behavior, Elsevier, vol. 10(1), pages 218-254, July.
    7. Costa-Gomes, Miguel & Crawford, Vincent P & Broseta, Bruno, 2001. "Cognition and Behavior in Normal-Form Games: An Experimental Study," Econometrica, Econometric Society, vol. 69(5), pages 1193-1235, September.
    8. Amnon Rapoport & Darryl A. Seale & Ido Erev & James A. Sundali, 1998. "Equilibrium Play in Large Group Market Entry Games," Management Science, INFORMS, vol. 44(1), pages 119-141, January.
    9. Vincent P. Crawford & Miguel A. Costa-Gomes, 2006. "Cognition and Behavior in Two-Person Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 96(5), pages 1737-1768, December.
    10. Miguel A. Costa-Gomes & Georg Weizsäcker, 2008. "Stated Beliefs and Play in Normal-Form Games," Review of Economic Studies, Oxford University Press, vol. 75(3), pages 729-762.
    11. Cai, Hongbin & Wang, Joseph Tao-Yi, 2006. "Overcommunication in strategic information transmission games," Games and Economic Behavior, Elsevier, vol. 56(1), pages 7-36, July.
    12. Blume, Andreas & DeJong, Douglas V. & Kim, Yong-Gwan & Sprinkle, Geoffrey B., 2001. "Evolution of Communication with Partial Common Interest," Games and Economic Behavior, Elsevier, vol. 37(1), pages 79-120, October.
    13. Bernheim, B Douglas, 1984. "Rationalizable Strategic Behavior," Econometrica, Econometric Society, vol. 52(4), pages 1007-1028, July.
    14. 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.
    15. 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.
    16. Navin Kartik, 2009. "Strategic Communication with Lying Costs," Review of Economic Studies, Oxford University Press, vol. 76(4), pages 1359-1395.
    17. Feddersen, Timothy J & Pesendorfer, Wolfgang, 1996. "The Swing Voter's Curse," American Economic Review, American Economic Association, vol. 86(3), pages 408-424, June.
    18. Farrell, Joseph, 1988. "Communication, coordination and Nash equilibrium," Economics Letters, Elsevier, vol. 27(3), pages 209-214.
    19. 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.
    20. Crawford, Vincent, 1998. "A Survey of Experiments on Communication via Cheap Talk," Journal of Economic Theory, Elsevier, vol. 78(2), pages 286-298, February.
    21. Tore Ellingsen & Robert Östling, 2010. "When Does Communication Improve Coordination?," American Economic Review, American Economic Association, vol. 100(4), pages 1695-1724, September.
    22. Colin F. Camerer & Teck-Hua Ho & Juin-Kuan Chong, 2004. "A Cognitive Hierarchy Model of Games," The Quarterly Journal of Economics, Oxford University Press, vol. 119(3), pages 861-898.
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    24. Costa-Gomes, Miguel A., 2002. "A Suggested Interpretation of Some Experimental Results on Preplay Communication," Journal of Economic Theory, Elsevier, vol. 104(1), pages 104-136, May.
    25. Vincent P. Crawford & Tamar Kugler & Zvika Neeman & Ady Pauzner, 2009. "Behaviorally Optimal Auction Design: Examples and Observations," Journal of the European Economic Association, MIT Press, vol. 7(2-3), pages 377-387, 04-05.
    26. Joseph Tao-yi Wang & Michael Spezio & Colin F. Camerer, 2006. "Pinocchio's Pupil: Using Eyetracking and Pupil Dilation to Understand Truth-telling and Deception in Games," Levine's Bibliography 321307000000000042, UCLA Department of Economics.
    27. Vincent P. Crawford & Nagore Iriberri, 2007. "Fatal Attraction: Salience, Naïveté, and Sophistication in Experimental "Hide-and-Seek" Games," American Economic Review, American Economic Association, vol. 97(5), pages 1731-1750, December.
    28. Ho, Teck-Hua & Camerer, Colin & Weigelt, Keith, 1998. "Iterated Dominance and Iterated Best Response in Experimental "p-Beauty Contests."," American Economic Review, American Economic Association, vol. 88(4), pages 947-969, September.
    29. Crawford, Vincent P & Haller, Hans, 1990. "Learning How to Cooperate: Optimal Play in Repeated Coordination Games," Econometrica, Econometric Society, vol. 58(3), pages 571-595, May.
    30. Nagel, Rosemarie, 1995. "Unraveling in Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 85(5), pages 1313-1326, December.
    31. Vincent P. Crawford & Miguel A. Costa-Gomes & Nagore Iriberri, 2013. "Structural Models of Nonequilibrium Strategic Thinking: Theory, Evidence, and Applications," Journal of Economic Literature, American Economic Association, vol. 51(1), pages 5-62, March.
    32. Kawagoe, Toshiji & Takizawa, Hirokazu, 2009. "Equilibrium refinement vs. level-k analysis: An experimental study of cheap-talk games with private information," Games and Economic Behavior, Elsevier, vol. 66(1), pages 238-255, May.
    33. Kartik, Navin & Ottaviani, Marco & Squintani, Francesco, 2007. "Credulity, lies, and costly talk," Journal of Economic Theory, Elsevier, vol. 134(1), pages 93-116, May.
    34. Joseph Farrell, 1987. "Cheap Talk, Coordination, and Entry," RAND Journal of Economics, The RAND Corporation, vol. 18(1), pages 34-39, Spring.
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    Cited by:

    1. Tore Ellingsen & Robert Östling, 2010. "When Does Communication Improve Coordination?," American Economic Review, American Economic Association, vol. 100(4), pages 1695-1724, September.
    2. Stefano Lovo, 2009. "Preopening and equilibrium selection," Post-Print hal-00495940, HAL.

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