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Level-k reasoning in a generalized beauty contest

Author

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  • Shapiro, Dmitry
  • Shi, Xianwen
  • Zillante, Artie
Abstract
We study how the predictive power of level-k models changes as we perturb the classical beauty contest setting along two dimensions: the strength of the coordination motive and the information symmetry. We use a variation of the Morris and Shin (2002) model as the unified framework for our study, and find that the predictive power of level-k models varies considerably along these two dimensions. Level-k models are successful in predicting subject behavior in settings with symmetric information and a strong coordination motive. Their predictive power weakens significantly when either private information is introduced or the importance of the coordination motive is decreased.

Suggested Citation

  • Shapiro, Dmitry & Shi, Xianwen & Zillante, Artie, 2014. "Level-k reasoning in a generalized beauty contest," Games and Economic Behavior, Elsevier, vol. 86(C), pages 308-329.
    • Handle: RePEc:eee:gamebe:v:86:y:2014:i:c:p:308-329
    DOI: 10.1016/j.geb.2014.04.002
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    1. Camille Cornand & Frank Heinemann, 2014. "Measuring agents’ reaction to private and public information in games with strategic complementarities," Experimental Economics, Springer;Economic Science Association, vol. 17(1), pages 61-77, March.
    2. Dewan, Torun & Myatt, David P., 2008. "The Qualities of Leadership: Direction, Communication, and Obfuscation," American Political Science Review, Cambridge University Press, vol. 102(3), pages 351-368, August.
    3. 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.
    4. Bacchetta, Philippe & van Wincoop, Eric, 2005. "A theory of the currency denomination of international trade," Journal of International Economics, Elsevier, vol. 67(2), pages 295-319, December.
    5. Antoni Bosch-Domènech & José G. Montalvo & Rosemarie Nagel & Albert Satorra, 2002. "One, Two, (Three), Infinity, ...: Newspaper and Lab Beauty-Contest Experiments," American Economic Review, American Economic Association, vol. 92(5), pages 1687-1701, December.
    6. Gourieroux,Christian & Monfort,Alain, 1995. "Statistics and Econometric Models," Cambridge Books, Cambridge University Press, number 9780521471626, September.
    7. 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.
    8. George-Marios Angeletos & Guido Lorenzoni & Alessandro Pavan, 2023. "Wall Street and Silicon Valley: A Delicate Interaction," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 90(3), pages 1041-1083.
    9. Romain Baeriswyl & Camille Cornand, 2014. "Reducing Overreaction To Central Banks' Disclosures: Theory And Experiment," Journal of the European Economic Association, European Economic Association, vol. 12(4), pages 1087-1126, August.
    10. 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.
    11. 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.
    12. Dewan, Torun & Myatt, David P., 2007. "Leading the Party: Coordination, Direction, and Communication," American Political Science Review, Cambridge University Press, vol. 101(4), pages 827-845, November.
    13. Burchardi, Konrad B. & Penczynski, Stefan P., 2014. "Out of your mind: Eliciting individual reasoning in one shot games," Games and Economic Behavior, Elsevier, vol. 84(C), pages 39-57.
    14. 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.
    15. 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.
    16. George-Marios Angeletos & Alessandro Pavan, 2007. "Efficient Use of Information and Social Value of Information," Econometrica, Econometric Society, vol. 75(4), pages 1103-1142, July.
    17. Nagel, Rosemarie, 1995. "Unraveling in Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 85(5), pages 1313-1326, December.
    18. 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.
    19. Gourieroux,Christian & Monfort,Alain, 1995. "Statistics and Econometric Models 2 volume set," Cambridge Books, Cambridge University Press, number 9780521478373, July.
    20. Colin F. Camerer & Teck-Hua Ho & Juin-Kuan Chong, 2004. "A Cognitive Hierarchy Model of Games," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(3), pages 861-898.
    21. Stephen Morris & Hyun Song Shin, 2002. "Social Value of Public Information," American Economic Review, American Economic Association, vol. 92(5), pages 1521-1534, December.
    22. Franklin Allen & Stephen Morris & Hyun Song Shin, 2006. "Beauty Contests and Iterated Expectations in Asset Markets," The Review of Financial Studies, Society for Financial Studies, vol. 19(3), pages 719-752.
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    8. Nagel, Rosemarie & Bühren, Christoph & Frank, Björn, 2017. "Inspired and inspiring: Hervé Moulin and the discovery of the beauty contest game," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 191-207.
    9. Volker Benndorf & Dorothea Kübler & Hans-Theo Normann, 2017. "Depth of Reasoning and Information Revelation: An Experiment on the Distribution of k-Levels," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 19(04), pages 1-18, December.
    10. Helland, Leif & Iachan, Felipe S. & Juelsrud, Ragnar E. & Nenov, Plamen T., 2021. "Information quality and regime change: Evidence from the lab," Journal of Economic Behavior & Organization, Elsevier, vol. 191(C), pages 538-554.
    11. Anna Bassi & Kenneth C. Williams, 2014. "Examining Monotonicity and Saliency Using Level- k Reasoning in a Voting Game," Games, MDPI, vol. 5(1), pages 1-27, February.
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    13. Kene Boun My & Camille Cornand & Rodolphe dos Santos Ferreira, 2017. "Public information and the concern for coordination," Working Papers halshs-01485677, HAL.
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    20. Breitmoser, Yves, 2017. "Knowing Me, Imagining You:," Rationality and Competition Discussion Paper Series 36, CRC TRR 190 Rationality and Competition.
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    More about this item

    Keywords

    Level-k models; Beauty contests; Coordination games;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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