IDEAS home Printed from https://ideas.repec.org/p/tor/tecipa/tecipa-380.html
   My bibliography  Save this paper

Robustness of Level-k Reasoning in Generalized Beauty Contest Games

Author

Listed:
  • Dmitry Shapiro
  • Xianwen Shi
  • Artie Zillante

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 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. When we introduce private information or weaken the strength of the coordination motive, the predictive power of level-k models decreases significantly.

Suggested Citation

  • Dmitry Shapiro & Xianwen Shi & Artie Zillante, 2009. "Robustness of Level-k Reasoning in Generalized Beauty Contest Games," Working Papers tecipa-380, University of Toronto, Department of Economics.
  • Handle: RePEc:tor:tecipa:tecipa-380
    as

    Download full text from publisher

    File URL: https://www.economics.utoronto.ca/public/workingPapers/tecipa-380.pdf
    File Function: Main Text
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    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. 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. 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.
    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. Vincent P. Crawford & Miguel A. Costa-Gomes & Nagore Iriberri, 2010. "Strategic Thinking," Levine's Working Paper Archive 661465000000001148, David K. Levine.
    6. 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.
    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. 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.
    9. 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.
    10. Stephen Morris & Hyun Song Shin, 2002. "Social Value of Public Information," American Economic Review, American Economic Association, vol. 92(5), pages 1521-1534, December.
    11. 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.
    12. Uri Gneezy, 2005. "Step-Level Reasoning and Bidding in Auctions," Management Science, INFORMS, vol. 51(11), pages 1633-1642, November.
    13. Nagel, Rosemarie, 1995. "Unraveling in Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 85(5), pages 1313-1326, December.
    14. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. 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.
    3. Georganas, Sotiris & Healy, Paul J. & Weber, Roberto A., 2015. "On the persistence of strategic sophistication," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 369-400.
    4. Emna Trabelsi & Walid Hichri, 2013. "Central bank Transparency and Information Dissemination : An experimental Approach," Working Papers 1336, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
    5. Johannes Leder & Leonhard Schilbach & Andreas Mojzisch, 2016. "Strategic Decision-Making and Social Skills: Integrating Behavioral Economics and Social Cognition Research," IJFS, MDPI, vol. 4(4), pages 1-14, November.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Breitmoser, Yves & Tan, Jonathan H.W. & Zizzo, Daniel John, 2014. "On the beliefs off the path: Equilibrium refinement due to quantal response and level-k," Games and Economic Behavior, Elsevier, vol. 86(C), pages 102-125.
    3. 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.
    4. 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.
    5. Duffy, Sean & Smith, John, 2011. "Cognitive load in the multi-player prisoner's dilemma game," MPRA Paper 30856, University Library of Munich, Germany.
    6. Berger, Ulrich & De Silva, Hannelore & Fellner-Röhling, Gerlinde, 2016. "Cognitive hierarchies in the minimizer game," Journal of Economic Behavior & Organization, Elsevier, vol. 130(C), pages 337-348.
    7. Duffy, Sean & Smith, John, 2014. "Cognitive load in the multi-player prisoner's dilemma game: Are there brains in games?," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 51(C), pages 47-56.
    8. Kneeland, Terri, 2016. "Coordination under limited depth of reasoning," Games and Economic Behavior, Elsevier, vol. 96(C), pages 49-64.
    9. Dufwenberg, Martin & Sundaram, Ramya & Butler, David J., 2010. "Epiphany in the Game of 21," Journal of Economic Behavior & Organization, Elsevier, vol. 75(2), pages 132-143, August.
    10. Georganas, Sotiris & Healy, Paul J. & Weber, Roberto A., 2015. "On the persistence of strategic sophistication," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 369-400.
    11. Alexander L. Brown & Colin F. Camerer & Dan Lovallo, 2013. "Estimating Structural Models of Equilibrium and Cognitive Hierarchy Thinking in the Field: The Case of Withheld Movie Critic Reviews," Management Science, INFORMS, vol. 59(3), pages 733-747, July.
    12. Vincent P. Crawford & Nagore Iriberri, 2004. "Fatal Attraction: Focality, Naivete, and Sophistication in Experimental Hide-and-Seek Games," Levine's Bibliography 122247000000000316, UCLA Department of Economics.
    13. Strzalecki, Tomasz, 2014. "Depth of reasoning and higher order beliefs," Journal of Economic Behavior & Organization, Elsevier, vol. 108(C), pages 108-122.
    14. Dengler, Sebastian & Prüfer, Jens, 2021. "Consumers' privacy choices in the era of big data," Games and Economic Behavior, Elsevier, vol. 130(C), pages 499-520.
    15. Binswanger, Johannes & Prüfer, Jens, 2012. "Democracy, populism, and (un)bounded rationality," European Journal of Political Economy, Elsevier, vol. 28(3), pages 358-372.
    16. Mohlin, Erik, 2012. "Evolution of theories of mind," Games and Economic Behavior, Elsevier, vol. 75(1), pages 299-318.
    17. Choo, Lawrence C.Y & Kaplan, Todd R., 2014. "Explaining Behavior in the "11-20" Game," MPRA Paper 52808, University Library of Munich, Germany.
    18. Kyle Hyndman & Antoine Terracol & Jonathan Vaksmann, 2022. "Beliefs and (in)stability in normal-form games," Experimental Economics, Springer;Economic Science Association, vol. 25(4), pages 1146-1172, September.
    19. Bayer, Ralph C. & Renou, Ludovic, 2016. "Logical omniscience at the laboratory," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 64(C), pages 41-49.
    20. Polonio, Luca & Coricelli, Giorgio, 2019. "Testing the level of consistency between choices and beliefs in games using eye-tracking," Games and Economic Behavior, Elsevier, vol. 113(C), pages 566-586.

    More about this item

    Keywords

    level-k models; beauty contest; coordination;
    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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:tor:tecipa:tecipa-380. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: RePEc Maintainer (email available below). General contact details of provider: .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.