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Fatal Attraction: Focality, Naivete and Sophistication in Experimental “Hide and Seek†Games

  • Crawford, Vincent P.
  • Iriberri, Nagore

"Hide-and-Seek" games are zero-sum two-person games in which one player wins by matching the other's decision and the other wins by mismatching. Although such games are often played on cultural or geographic "landscapes" that frame decisions non-neutrally, equilibrium ignores such framing. This paper reconsiders the results of experiments by Rubinstein, Tversky, and others whose designs model non-neutral landscapes, in which subjects deviated systematically from equilibrium in response to them. Comparing alternative explanations theoretically and econometrically suggests that the deviations are best explained by a structural non-equilibrium model of initial responses based on "level-k" thinking, suitably adapted to non-neutral landscapes.

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Paper provided by Department of Economics, UC San Diego in its series University of California at San Diego, Economics Working Paper Series with number qt96v0t3kq.

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Date of creation: 01 Jan 2005
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Handle: RePEc:cdl:ucsdec:qt96v0t3kq
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  1. 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.
  2. Robert W. Rosenthal & Jason Shachat & Mark Walker, 2003. "Hide and seek in Arizona," International Journal of Game Theory, Springer, vol. 32(2), pages 273-293, December.
  3. Costa-Gomes, Miguel A. & Crawford, Vincent P., 2004. "Cognition and Behavior in Two-Person Guessing Games: An Experimental Study," University of California at San Diego, Economics Working Paper Series qt449812fx, Department of Economics, UC San Diego.
  4. A. Rubinstein, 1999. "Experience from a Course in Game Theory: Pre- and Post-class Problem Sets as a Didactic Device," Princeton Economic Theory Papers 00s4, Economics Department, Princeton University.
  5. 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.
  6. Barry Sopher & Dilip Mookherjee, 1997. "Learning and Decision Costs in Experimental Constant Sum Games," Departmental Working Papers 199527, Rutgers University, Department of Economics.
  7. Rubinstein, A. & Tversky, A., 1993. "Naive Strategies in Zero-Sum Games," Papers 17-93, Tel Aviv - the Sackler Institute of Economic Studies.
  8. Dale O. Stahl & Paul W. Wilson, 2010. "On Players' Models of Other Players: Theory and Experimental Evidence," Levine's Working Paper Archive 542, David K. Levine.
  9. Georg Weizsäcker, 2003. "Ignoring the rationality of others: evidence from experimental normal-form games," LSE Research Online Documents on Economics 507, London School of Economics and Political Science, LSE Library.
  10. Crawford, Vincent P., 2001. "Lying for Strategic Advantage: Rational and Boundedly Rational Misrepresentation of Intentions," University of California at San Diego, Economics Working Paper Series qt6k65014s, Department of Economics, UC San Diego.
  11. Vincent P. Crawford & Nagore Iriberri, 2004. "Fatal Attraction: Focality, Naivete, and Sophistication in Experimental Hide-and-Seek Games," Levine's Bibliography 122247000000000345, UCLA Department of Economics.
  12. Selten, Reinhard, 1998. "Features of experimentally observed bounded rationality," European Economic Review, Elsevier, vol. 42(3-5), pages 413-436, May.
  13. Roberto Weber & Colin Camerer & Marc Knez, 2004. "Timing and Virtual Observability in Ultimatum Bargaining and “Weak Link†Coordination Games," Experimental Economics, Springer, vol. 7(1), pages 25-48, February.
  14. Nagel, Rosemarie, 1995. "Unraveling in Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 85(5), pages 1313-26, December.
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  16. Mehta, Judith & Starmer, Chris & Sugden, Robert, 1994. "The Nature of Salience: An Experimental Investigation of Pure Coordination Games," American Economic Review, American Economic Association, vol. 84(3), pages 658-73, June.
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  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. Colin Camerer & Teck-Hua Ho & Juin Kuan Chong, 2003. "A cognitive hierarchy theory of one-shot games: Some preliminary results," Levine's Bibliography 506439000000000495, UCLA Department of Economics.
  20. Mark Walker & John Wooders, 2001. "Minimax Play at Wimbledon," American Economic Review, American Economic Association, vol. 91(5), pages 1521-1538, December.
  21. McKelvey, Richard D. & Palfrey, Thomas R. & Weber, Roberto A., 2000. "The effects of payoff magnitude and heterogeneity on behavior in 2 x 2 games with unique mixed strategy equilibria," Journal of Economic Behavior & Organization, Elsevier, vol. 42(4), pages 523-548, August.
  22. Bacharach, Michael & Stahl, Dale O., 2000. "Variable-Frame Level-n Theory," Games and Economic Behavior, Elsevier, vol. 32(2), pages 220-246, August.
  23. Ho, Teck Hua & Weigelt, Keith & Camerer, Colin, 1996. "Iterated Dominance and Iterated Best-Response in Experimental P-Beauty Contests," Working Papers 974, California Institute of Technology, Division of the Humanities and Social Sciences.
  24. Scharlemann, Jorn P. W. & Eckel, Catherine C. & Kacelnik, Alex & Wilson, Rick K., 2001. "The value of a smile: Game theory with a human face," Journal of Economic Psychology, Elsevier, vol. 22(5), pages 617-640, October.
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