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Testing Game Theory in the Field: Swedish LUPI Lottery Games

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Author Info

  • Robert �stling
  • 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)

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Bibliographic Info

Article provided by American Economic Association in its journal American Economic Journal: Microeconomics.

Volume (Year): 3 (2011)
Issue (Month): 3 (August)
Pages: 1-33

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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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  1. Miguel Costa-Gomes & Vincent P. Crawford, 2004. "Cognition And Behavior In Two-Person Guessing Games: An Experimental Study," Levine's Bibliography 122247000000000143, UCLA Department of Economics.
  2. 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.
  3. Jacob K. Goeree & Charles A. Holt & Thomas R. Palfrey, 2000. "Quantal Response Equilibrium and Overbidding in Private-Value Auctions," Virginia Economics Online Papers 345, University of Virginia, Department of Economics.
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  5. Camerer, Colin F. & Palfrey, Thomas R. & Rogers, Brian W., 2006. "Heterogeneous quantal response equilibrium and cognitive hierarchies," Working Papers 1260, California Institute of Technology, Division of the Humanities and Social Sciences.
  6. Vincent P. Crawford & Nagore Iriberri, 2005. "Level-k Auctions: Can a Non-Equilibrium Model of Strategic Thinking Explain the Winner's Curse and Overbidding in Private-Value Auctions?," Levine's Bibliography 784828000000000604, UCLA Department of Economics.
  7. Costa-Gomes, Miguel & Crawford, Vincent P. & Broseta, Bruno, 1998. "Cognition and Behavior in Normal-Form Games: An Experimental Study," University of California at San Diego, Economics Working Paper Series qt1vn4h7x5, Department of Economics, UC San Diego.
  8. Vincent P. Crawford & Nagore Iriberri, 2007. "Fatal Attraction: Salience, Naivete, and Sophistication in Experimental Hide-and-Seek Games," Levine's Bibliography 321307000000000861, UCLA Department of Economics.
  9. Jürgen Eichberger & Dmitri Vinogradov, 2008. "Least Unmatched Price Auctions: A First Approach," Working Papers 0471, University of Heidelberg, Department of Economics, revised Jul 2008.
  10. Nagel, Rosemarie, 1995. "Unraveling in Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 85(5), pages 1313-26, December.
  11. 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, vol. 33(1), pages 29-51, October.
  12. 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.
  13. Urs Fischbacher, 2007. "z-Tree: Zurich toolbox for ready-made economic experiments," Experimental Economics, Springer, vol. 10(2), pages 171-178, June.
  14. Colin F. Camerer & Teck-Hua Ho & Juin-Kuan Chong, 2004. "A Cognitive Hierarchy Model of Games," The Quarterly Journal of Economics, MIT Press, vol. 119(3), pages 861-898, August.
  15. 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.
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Citations

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Cited by:
  1. 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.
  2. Choo, Lawrence C.Y & Kaplan, Todd R., 2014. "Explaining Behavior in the "11-20" Game," MPRA Paper 52808, University Library of Munich, Germany.
  3. Alexander L. Brown & Colin F. Camerer & Dan Lovallo, 2012. "To Review or Not to Review? Limited Strategic Thinking at the Movie Box Office," American Economic Journal: Microeconomics, American Economic Association, vol. 4(2), pages 1-26, May.
  4. 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.
  5. Wang, Zhongmin & Xu, Minbo, 2013. "Selling a Dollar for More Than a Dollar? Evidence from Online Penny Auctions," Discussion Papers dp-13-15, Resources For the Future.
  6. Yann Girard & Florian Hett, 2013. "Competitiveness in dynamic group contests: Evidence from combined field and lab data," Working Papers 1303, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz, revised 01 Apr 2013.
  7. Toomas Hinnosaar, 2013. "Penny Auctions are Unpredictable," Carlo Alberto Notebooks 305, Collegio Carlo Alberto.
  8. Andrea Gallice, 2010. "Price Reveal Auctions on the Internet," Carlo Alberto Notebooks 147, Collegio Carlo Alberto.
  9. Sotiris Georganas & Paul J. Healy & Roberto A. Weber, 2014. "On the Persistence of Strategic Sophistication," CESifo Working Paper Series 4653, CESifo Group Munich.

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