IDEAS home Printed from https://ideas.repec.org/p/hhs/hastef/0684.html
   My bibliography  Save this paper

Billiards and Brains: Cognitive Ability and Behavior in a p-Beauty Contest

Author

Listed:
  • Burnham, Terence C.

    (Program for Evolutionary Dynamics, Harvard University)

  • Cesarini, David

    (Department of Economics, Massachusetts Institute of Technology)

  • Wallace, Björn

    (Dept. of Economics, Stockholm School of Economics)

  • Johannesson, Magnus

    (Dept. of Economics, Stockholm School of Economics)

  • Lichtenstein, Paul

    (Department of Medical Epidemiology and Biostatistics, Karolinska Institutet)

Abstract

"Beauty contests" are well-studied, dominance-solvable games that generate two interesting results. First, most behavior does not conform to the unique Nash equilibrium. Second, there is considerable unexplained heterogeneity in behavior. In this work, we evaluate the relationship between beauty contest behavior and cognitive ability. We find that subjects with high cognitive ability exhibit behavior that is closer to the Nash equlibrium. We examine this finding through the prism of economic and biological theory.

Suggested Citation

  • Burnham, Terence C. & Cesarini, David & Wallace, Björn & Johannesson, Magnus & Lichtenstein, Paul, 2007. "Billiards and Brains: Cognitive Ability and Behavior in a p-Beauty Contest," SSE/EFI Working Paper Series in Economics and Finance 684, Stockholm School of Economics.
    • Handle: RePEc:hhs:hastef:0684
    as

    Download full text from publisher

    File URL: http://swopec.hhs.se/hastef/papers/hastef0684.pdf
    File Function: Complete Rendering
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Thomas Dohmen & Armin Falk & David Huffman & Uwe Sunde, 2010. "Are Risk Aversion and Impatience Related to Cognitive Ability?," American Economic Review, American Economic Association, vol. 100(3), pages 1238-1260, June.
    2. Ernst Fehr & Klaus M. Schmidt, 1999. "A Theory of Fairness, Competition, and Cooperation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 817-868.
    3. Smith, Vernon L & Walker, James M, 1993. "Monetary Rewards and Decision Cost in Experimental Economics," Economic Inquiry, Western Economic Association International, vol. 31(2), pages 245-261, April.
    4. 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.
    5. Rydval, Ondrej & Ortmann, Andreas & Ostatnicky, Michal, 2009. "Three very simple games and what it takes to solve them," Journal of Economic Behavior & Organization, Elsevier, vol. 72(1), pages 589-601, October.
    6. Robert Aumann & Adam Brandenburger, 2014. "Epistemic Conditions for Nash Equilibrium," World Scientific Book Chapters, in: The Language of Game Theory Putting Epistemics into the Mathematics of Games, chapter 5, pages 113-136, World Scientific Publishing Co. Pte. Ltd..
    7. Herbert Gintis, 2000. "Strong Reciprocity and Human Sociality," UMASS Amherst Economics Working Papers 2000-02, University of Massachusetts Amherst, Department of Economics.
    8. Richard H. Thaler, 2017. "Behavioral Economics," Journal of Political Economy, University of Chicago Press, vol. 125(6), pages 1799-1805.
    9. Duffy, John & Nagel, Rosemarie, 1997. "On the Robustness of Behaviour in Experimental "Beauty Contest" Games," Economic Journal, Royal Economic Society, vol. 107(445), pages 1684-1700, November.
    10. Bolton, Gary E, 1991. "A Comparative Model of Bargaining: Theory and Evidence," American Economic Review, American Economic Association, vol. 81(5), pages 1096-1136, December.
    11. Edward L. Glaeser, 2004. "Psychology and the Market," American Economic Review, American Economic Association, vol. 94(2), pages 408-413, May.
    12. 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.
    13. Ernst Fehr & Jean-Robert Tyran, 2005. "Individual Irrationality and Aggregate Outcomes," Journal of Economic Perspectives, American Economic Association, vol. 19(4), pages 43-66, Fall.
    14. Matthew Rabin, 2000. "Risk Aversion and Expected-Utility Theory: A Calibration Theorem," Econometrica, Econometric Society, vol. 68(5), pages 1281-1292, September.
    15. McKelvey, Richard D & Palfrey, Thomas R, 1992. "An Experimental Study of the Centipede Game," Econometrica, Econometric Society, vol. 60(4), pages 803-836, July.
    16. James J. Heckman & Jora Stixrud & Sergio Urzua, 2006. "The Effects of Cognitive and Noncognitive Abilities on Labor Market Outcomes and Social Behavior," Journal of Labor Economics, University of Chicago Press, vol. 24(3), pages 411-482, July.
    17. Ondrej Rydval, 2007. "Financial Incentives and Cognitive Abilities: Evidence from a Forecasting Task with Varying Cognitive Load," Jena Economics Research Papers 2007-040, Friedrich-Schiller-University Jena.
    18. John A. List, 2003. "Does Market Experience Eliminate Market Anomalies?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 118(1), pages 41-71.
    19. Nagel, Rosemarie, 1995. "Unraveling in Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 85(5), pages 1313-1326, December.
    20. Ernst Fehr & Urs Fischbacher & Simon Gächter, 2003. "Strong Reciprocity, Human Cooperation and the Enforcement of Social Norms," Microeconomics 0305008, University Library of Munich, Germany.
    21. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    22. Douglas Clement, 2002. "Interview with Gary Becker," The Region, Federal Reserve Bank of Minneapolis, vol. 16(Jun), pages 16-25.
    23. Stahl, Dale O., 1996. "Boundedly Rational Rule Learning in a Guessing Game," Games and Economic Behavior, Elsevier, vol. 16(2), pages 303-330, October.
    24. Cawley, John & Heckman, James & Vytlacil, Edward, 2001. "Three observations on wages and measured cognitive ability," Labour Economics, Elsevier, vol. 8(4), pages 419-442, September.
    25. Herbert A. Simon, 1955. "A Behavioral Model of Rational Choice," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 69(1), pages 99-118.
    26. Cosmides, Leda & Tooby, John, 1994. "Better than Rational: Evolutionary Psychology and the Invisible Hand," American Economic Review, American Economic Association, vol. 84(2), pages 327-332, May.
    27. Jonathan E. Alevy & Michael S. Haigh & John A. List, 2007. "Information Cascades: Evidence from a Field Experiment with Financial Market Professionals," Journal of Finance, American Finance Association, vol. 62(1), pages 151-180, February.
    28. Shane Frederick, 2005. "Cognitive Reflection and Decision Making," Journal of Economic Perspectives, American Economic Association, vol. 19(4), pages 25-42, Fall.
    29. Daniel J. Benjamin & Sebastian A. Brown & Jesse M. Shapiro, 2013. "Who Is ‘Behavioral’? Cognitive Ability And Anomalous Preferences," Journal of the European Economic Association, European Economic Association, vol. 11(6), pages 1231-1255, December.
    30. Moulin, Herve, 1994. "Social choice," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 31, pages 1091-1125, Elsevier.
    31. 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.
    32. Heckman, James J, 1995. "Lessons from the Bell Curve," Journal of Political Economy, University of Chicago Press, vol. 103(5), pages 1091-1120, October.
    33. Milton Friedman & L. J. Savage, 1948. "The Utility Analysis of Choices Involving Risk," Journal of Political Economy, University of Chicago Press, vol. 56(4), pages 279-279.
    34. Rabin, Matthew, 1993. "Incorporating Fairness into Game Theory and Economics," American Economic Review, American Economic Association, vol. 83(5), pages 1281-1302, December.
    35. Eileen Chou & Margaret McConnell & Rosemarie Nagel & Charles Plott, 2009. "The control of game form recognition in experiments: understanding dominant strategy failures in a simple two person “guessing” game," Experimental Economics, Springer;Economic Science Association, vol. 12(2), pages 159-179, June.
    36. Richard H. Thaler, 2000. "From Homo Economicus to Homo Sapiens," Journal of Economic Perspectives, American Economic Association, vol. 14(1), pages 133-141, Winter.
    37. Stefano DellaVigna & Ulrike Malmendier, 2006. "Paying Not to Go to the Gym," American Economic Review, American Economic Association, vol. 96(3), pages 694-719, June.
    38. Stahl, Dale O., 1998. "Is step-j thinking an arbitrary modelling restriction or a fact of human nature?," Journal of Economic Behavior & Organization, Elsevier, vol. 37(1), pages 33-51, September.
    39. Binmore, Ken, 1999. "Why Experiment in Economics?," Economic Journal, Royal Economic Society, vol. 109(453), pages 16-24, February.
    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. Rydval, Ondrej & Ortmann, Andreas & Ostatnicky, Michal, 2009. "Three very simple games and what it takes to solve them," Journal of Economic Behavior & Organization, Elsevier, vol. 72(1), pages 589-601, October.

    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. Burnham, Terence C. & Cesarini, David & Johannesson, Magnus & Lichtenstein, Paul & Wallace, Björn, 2009. "Higher cognitive ability is associated with lower entries in a p-beauty contest," Journal of Economic Behavior & Organization, Elsevier, vol. 72(1), pages 171-175, October.
    2. Gill, David & Prowse, Victoria, 2012. "Cognitive ability and learning to play equilibrium: A level-k analysis," MPRA Paper 38317, University Library of Munich, Germany, revised 23 Apr 2012.
    3. 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.
    4. Dohmen, Thomas, 2014. "Behavioral labor economics: Advances and future directions," Labour Economics, Elsevier, vol. 30(C), pages 71-85.
    5. Giovanna Devetag & Sibilla Guida & Luca Polonio, 2016. "An eye-tracking study of feature-based choice in one-shot games," Experimental Economics, Springer;Economic Science Association, vol. 19(1), pages 177-201, March.
    6. Shu-Heng Chen & Ye-Rong Du & Lee-Xieng Yang, 2014. "Cognitive capacity and cognitive hierarchy: a study based on beauty contest experiments," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 9(1), pages 69-105, April.
    7. Stefano DellaVigna, 2009. "Psychology and Economics: Evidence from the Field," Journal of Economic Literature, American Economic Association, vol. 47(2), pages 315-372, June.
    8. Jonathan Chapman & Mark Dean & Pietro Ortoleva & Erik Snowberg & Colin Camerer, 2018. "Econographics," CESifo Working Paper Series 7202, CESifo.
      • Jonathan Chapman & Mark Dean & Pietro Ortoleva & Erik Snowberg & Colin Camerer, 2018. "Econographics," NBER Working Papers 24931, National Bureau of Economic Research, Inc.
    9. Duffy, Sean & Smith, John, 2011. "Cognitive load in the multi-player prisoner's dilemma game," MPRA Paper 30856, University Library of Munich, Germany.
    10. Bayer, R.-C. & Renou, Ludovic, 2016. "Logical abilities and behavior in strategic-form games," Journal of Economic Psychology, Elsevier, vol. 56(C), pages 39-59.
    11. Despoina Alempaki & Andrew M. Colman & Felix Kölle & Graham Loomes & Briony D. Pulford, 2022. "Investigating the failure to best respond in experimental games," Experimental Economics, Springer;Economic Science Association, vol. 25(2), pages 656-679, April.
    12. Camerer, Colin F. & Ho, Teck-Hua, 2015. "Behavioral Game Theory Experiments and Modeling," Handbook of Game Theory with Economic Applications,, Elsevier.
    13. 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.
    14. Upravitelev, A., 2023. "Neoclassical roots of behavioral economics," Journal of the New Economic Association, New Economic Association, vol. 58(1), pages 110-140.
    15. Yuval Heller & Eyal Winter, 2020. "Biased-Belief Equilibrium," American Economic Journal: Microeconomics, American Economic Association, vol. 12(2), pages 1-40, May.
    16. Choo, Lawrence C.Y & Kaplan, Todd R., 2014. "Explaining Behavior in the "11-20" Game," MPRA Paper 52808, University Library of Munich, Germany.
    17. 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.
    18. Daniel J. Benjamin & Sebastian A. Brown & Jesse M. Shapiro, 2013. "Who Is ‘Behavioral’? Cognitive Ability And Anomalous Preferences," Journal of the European Economic Association, European Economic Association, vol. 11(6), pages 1231-1255, December.
    19. Bruno S. Frey & David A. Savage & Benno Torgler, 2011. "Behavior under Extreme Conditions: The Titanic Disaster," Journal of Economic Perspectives, American Economic Association, vol. 25(1), pages 209-222, Winter.
    20. Thomas Dohmen & Armin Falk & David Huffman & Uwe Sunde, 2010. "Are Risk Aversion and Impatience Related to Cognitive Ability?," American Economic Review, American Economic Association, vol. 100(3), pages 1238-1260, June.

    More about this item

    Keywords

    beauty contest; rationality; cognitive ability; Nash equlibrium;
    All these keywords.

    JEL classification:

    • C90 - Mathematical and Quantitative Methods - - Design of Experiments - - - General
    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles

    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:hhs:hastef:0684. 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: Helena Lundin (email available below). General contact details of provider: https://edirc.repec.org/data/erhhsse.html .

    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.