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One, two, (three), infinity: Newspaper and lab beauty-contest experiments

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Abstract

"Beauty-contest" is a game in which participants have to choose, typically, a number in [0,100], the winner being the person whose number is closest to a proportion of the average of all chosen numbers. We describe and analyze Beauty-contest experiments run in newspapers in UK, Spain, and Germany and find stable patterns of behavior across them, despite the uncontrollability of these experiments. These results are then compared with lab experiments involving undergraduates and game theorists as subjects, in what must be one of the largest empirical corroborations of interactive behavior ever tried. We claim that all observed behavior, across a wide variety of treatments and subject pools, can be interpreted as iterative reasoning. Level-1 reasoning, Level-2 reasoning and Level-3 reasoning are commonly observed in all the samples, while the equilibrium choice (Level-Maximum reasoning) is only prominently chosen by newspaper readers and theorists. The results show the empirical power of experiments run with large subject-pools, and open the door for more experimental work performed on the rich platform offered by newspapers and magazines.

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  • Rosemarie Nagel & Antoni Bosch-Domènech & Albert Satorra & José García Montalvo, 1999. "One, two, (three), infinity: Newspaper and lab beauty-contest experiments," Economics Working Papers 438, Department of Economics and Business, Universitat Pompeu Fabra.
  • Handle: RePEc:upf:upfgen:438
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    1. Bohm, Peter, 1972. "Estimating demand for public goods: An experiment," European Economic Review, Elsevier, vol. 3(2), pages 111-130.
    2. Rafael López, 2001. "On p-beauty contest integer games," Economics Working Papers 608, Department of Economics and Business, Universitat Pompeu Fabra.
    3. 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.
    4. Peter Bossaerts & Charles Plott, 2004. "Basic Principles of Asset Pricing Theory: Evidence from Large-Scale Experimental Financial Markets," Review of Finance, European Finance Association, vol. 8(2), pages 135-169.
    5. Hogarth, Robin M. (ed.), 1990. "Insights in Decision Making," University of Chicago Press Economics Books, University of Chicago Press, edition 1, number 9780226348551, December.
    6. Alan S. Blinder & John Morgan, 2000. "Are Two Heads Better than One?: An Experimental Analysis of Group vs. Individual Decisionmaking," Working Papers 2000-1, Princeton University. Economics Department..
    7. Werner Güth & Carsten Schmidt & Matthias Sutter, 2007. "Bargaining outside the lab - a newspaper experiment of a three-person ultimatum game," Economic Journal, Royal Economic Society, vol. 117(518), pages 449-469, March.
    8. Berk, Jonathan B & Hughson, Eric & Vandezande, Kirk, 1996. "The Price Is Right, but Are the Bids? An Investigation of Rational Decision Theory," American Economic Review, American Economic Association, vol. 86(4), pages 954-970, September.
    9. David Lucking-Reiley & John A. List, 2000. "Demand Reduction in Multiunit Auctions: Evidence from a Sportscard Field Experiment," American Economic Review, American Economic Association, vol. 90(4), pages 961-972, September.
    10. 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.
    11. Croson, Rachel T. A., 1999. "The Disjunction Effect and Reason-Based Choice in Games, , , , , , , , , , , , ," Organizational Behavior and Human Decision Processes, Elsevier, vol. 80(2), pages 118-133, November.
    12. Martin G. Kocher & Matthias Sutter, 2005. "The Decision Maker Matters: Individual Versus Group Behaviour in Experimental Beauty-Contest Games," Economic Journal, Royal Economic Society, vol. 115(500), pages 200-223, January.
    13. 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.
    14. Nagel, Rosemarie, 1995. "Unraveling in Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 85(5), pages 1313-1326, December.
    15. David Lucking-Reiley, 1999. "Using Field Experiments to Test Equivalence between Auction Formats: Magic on the Internet," American Economic Review, American Economic Association, vol. 89(5), pages 1063-1080, December.
    16. R. M Isaac & J. Walker & A. Williams, 2010. "Group Size and the Voluntary Provision of Public Goods: Experimental Evidence Utilizing Very Large Groups," Levine's Working Paper Archive 11, David K. Levine.
    17. Forsythe, Robert & Forrest Nelson & George R. Neumann & Jack Wright, 1992. "Anatomy of an Experimental Political Stock Market," American Economic Review, American Economic Association, vol. 82(5), pages 1142-1161, December.
    18. 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.
    19. Ball, Sheryl B. & Bazerman, Max H. & Carroll, John S., 1991. "An evaluation of learning in the bilateral winner's curse," Organizational Behavior and Human Decision Processes, Elsevier, vol. 48(1), pages 1-22, February.
    20. David Greenberg & Mark Shroder & Matthew Onstott, 1999. "The Social Experiment Market," Journal of Economic Perspectives, American Economic Association, vol. 13(3), pages 157-172, Summer.
    21. Reinhard Selten & Michael Mitzkewitz & Gerald R. Uhlich, 1997. "Duopoly Strategies Programmed by Experienced Players," Econometrica, Econometric Society, vol. 65(3), pages 517-556, May.
    22. Roth, Alvin E. & Vesna Prasnikar & Masahiro Okuno-Fujiwara & Shmuel Zamir, 1991. "Bargaining and Market Behavior in Jerusalem, Ljubljana, Pittsburgh, and Tokyo: An Experimental Study," American Economic Review, American Economic Association, vol. 81(5), pages 1068-1095, December.
    23. Gary Bornstein & Ilan Yaniv, 1998. "Individual and Group Behavior in the Ultimatum Game: Are Groups More “Rational” Players?," Experimental Economics, Springer;Economic Science Association, vol. 1(1), pages 101-108, June.
    24. Isaac, R. Mark & Walker, James M. & Williams, Arlington W., 1994. "Group size and the voluntary provision of public goods : Experimental evidence utilizing large groups," Journal of Public Economics, Elsevier, vol. 54(1), pages 1-36, May.
    25. Bennett, Randall W. & Hickman, Kent A., 1993. "Rationality and the 'price is right'," Journal of Economic Behavior & Organization, Elsevier, vol. 21(1), pages 99-105, May.
    26. Peter Bohm, 1972. "Estimating the demand for public goods: An experiment," Framed Field Experiments 00126, The Field Experiments Website.
    27. 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.
    28. Dan Lovallo & Colin Camerer, 1999. "Overconfidence and Excess Entry: An Experimental Approach," American Economic Review, American Economic Association, vol. 89(1), pages 306-318, March.
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    More about this item

    Keywords

    Experiments; bounded rationality; Beauty-contest; parallelism; Leex;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • C9 - Mathematical and Quantitative Methods - - Design of Experiments

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