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Testing Game Theory in the Field: Swedish LUPI Lottery Games

Author

Listed:
  • Robert Östling
  • Joseph Tao-yi Wang
  • Eileen Y. Chou
  • Colin F. Camerer

Abstract

Game theory is usually difficult to test in the field because predictions typically depend sensitively on features that are not controlled or observed. We conduct one such test using both laboratory and field data from the Swedish lowest unique positive integer (LUPI) game. In this game, players pick positive integers and whoever chooses the lowest unique number wins. Equilibrium predictions are derived assuming Poisson distributed population uncertainty. The field and lab data show similar patterns. Despite various deviations from equilibrium, there is a surprising degree of convergence toward equilibrium. Some deviations can be rationalized by a cognitive hierarchy model. (JEL C70, C93, D44, H27)

Suggested Citation

  • Robert Östling & Joseph Tao-yi Wang & Eileen Y. Chou & Colin F. Camerer, 2011. "Testing Game Theory in the Field: Swedish LUPI Lottery Games," American Economic Journal: Microeconomics, American Economic Association, vol. 3(3), pages 1-33, August.
    • Handle: RePEc:aea:aejmic:v:3:y:2011:i:3:p:1-33
    Note: DOI: 10.1257/mic.3.3.1
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    References listed on IDEAS

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    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. 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.
    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. 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.
    5. van Damme, Eric, 1998. "On the State of the Art in Game Theory: An Interview with Robert Aumann," Games and Economic Behavior, Elsevier, vol. 24(1-2), pages 181-210, July.
    6. Amnon Rapoport & Hironori Otsubo & Bora Kim & William E. Stein, 2009. "Unique Bid Auction Games," Jena Economics Research Papers 2009-005, Friedrich-Schiller-University Jena.
    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. Ido Erev & Alvin Roth & Robert Slonim & Greg Barron, 2007. "Learning and equilibrium as useful approximations: Accuracy of prediction on randomly selected constant sum games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 33(1), pages 29-51, October.
    9. Armin Falk & James J. Heckman, 2009. "Lab Experiments are a Major Source of Knowledge in the Social Sciences," Working Papers 200935, Geary Institute, University College Dublin.
    10. Andrea Gallice, 2009. "Lowest Unique Bid Auctions with Signals," Carlo Alberto Notebooks 112, Collegio Carlo Alberto, revised Sep 2009.
    11. Colin Camerer & Teck-Hua Ho, 1999. "Experience-weighted Attraction Learning in Normal Form Games," Econometrica, Econometric Society, vol. 67(4), pages 827-874, July.
    12. repec:awi:wpaper:0471 is not listed on IDEAS
    13. 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.
    14. Vincent P. Crawford, 2003. "Lying for Strategic Advantage: Rational and Boundedly Rational Misrepresentation of Intentions," American Economic Review, American Economic Association, vol. 93(1), pages 133-149, March.
    15. Thierry Post & Martijn J. van den Assem & Guido Baltussen & Richard H. Thaler, 2008. "Deal or No Deal? Decision Making under Risk in a Large-Payoff Game Show," American Economic Review, American Economic Association, vol. 98(1), pages 38-71, March.
    16. Harold Houba & Dinard Laan & Dirk Veldhuizen, 2011. "Endogenous entry in lowest-unique sealed-bid auctions," Theory and Decision, Springer, vol. 71(2), pages 269-295, August.
    17. Steven D. Levitt & John A. List, 2007. "What Do Laboratory Experiments Measuring Social Preferences Reveal About the Real World?," Journal of Economic Perspectives, American Economic Association, vol. 21(2), pages 153-174, Spring.
    18. Nagel, Rosemarie, 1995. "Unraveling in Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 85(5), pages 1313-1326, December.
    19. Raviv, Yaron & Virag, Gabor, 2009. "Gambling by auctions," International Journal of Industrial Organization, Elsevier, vol. 27(3), pages 369-378, May.
    20. Urs Fischbacher, 2007. "z-Tree: Zurich toolbox for ready-made economic experiments," Experimental Economics, Springer;Economic Science Association, vol. 10(2), pages 171-178, June.
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    More about this item

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C93 - Mathematical and Quantitative Methods - - Design of Experiments - - - Field Experiments
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • H27 - Public Economics - - Taxation, Subsidies, and Revenue - - - Other Sources of Revenue

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    1. Testing Game Theory in the Field: Swedish LUPI Lottery Games (AEJ:MI 2011) in ReplicationWiki

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