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

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  • Crawford, Vincent P.
  • Iriberri, Nagore

Abstract

"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.

Suggested Citation

  • Crawford, Vincent P. & Iriberri, Nagore, 2005. "Fatal Attraction: Focality, Naivete and Sophistication in Experimental “Hide and Seek” Games," University of California at San Diego, Economics Working Paper Series qt96v0t3kq, Department of Economics, UC San Diego.
    • Handle: RePEc:cdl:ucsdec:qt96v0t3kq
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    1. Stahl Dale O. & Wilson Paul W., 1995. "On Players' Models of Other Players: Theory and Experimental Evidence," Games and Economic Behavior, Elsevier, vol. 10(1), pages 218-254, July.
    2. Bacharach, Michael & Stahl, Dale O., 2000. "Variable-Frame Level-n Theory," Games and Economic Behavior, Elsevier, vol. 32(2), pages 220-246, August.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. McKelvey Richard D. & Palfrey Thomas R., 1995. "Quantal Response Equilibria for Normal Form Games," Games and Economic Behavior, Elsevier, vol. 10(1), pages 6-38, July.
    8. 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.
    9. Mookherjee, Dilip & Sopher, Barry, 1997. "Learning and Decision Costs in Experimental Constant Sum Games," Games and Economic Behavior, Elsevier, vol. 19(1), pages 97-132, April.
    10. Rubinstein, Ariel, 1999. "Experience from a Course in Game Theory: Pre- and Postclass Problem Sets as a Didactic Device," Games and Economic Behavior, Elsevier, vol. 28(1), pages 155-170, July.
    11. 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.
    12. Mark Walker & John Wooders, 2001. "Minimax Play at Wimbledon," American Economic Review, American Economic Association, vol. 91(5), pages 1521-1538, December.
    13. Weizsacker, Georg, 2003. "Ignoring the rationality of others: evidence from experimental normal-form games," Games and Economic Behavior, Elsevier, vol. 44(1), pages 145-171, July.
    14. Rubinstein, A. & Tversky, A., 1993. "Naive Strategies in Zero-Sum Games," Papers 17-93, Tel Aviv - the Sackler Institute of Economic Studies.
    15. Nagel, Rosemarie, 1995. "Unraveling in Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 85(5), pages 1313-1326, December.
    16. 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.
    17. Roberto Weber & Colin Camerer & Marc Knez, 2004. "Timing and Virtual Observability in Ultimatum Bargaining and “Weak Link” Coordination Games," Experimental Economics, Springer;Economic Science Association, vol. 7(1), pages 25-48, February.
    18. Selten, Reinhard, 1998. "Features of experimentally observed bounded rationality," European Economic Review, Elsevier, vol. 42(3-5), pages 413-436, May.
    19. Robert W. Rosenthal & Jason Shachat & Mark Walker, 2003. "Hide and seek in Arizona," International Journal of Game Theory, Springer;Game Theory Society, vol. 32(2), pages 273-293, December.
    20. 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.
    21. 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.
    22. 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 658-673, June.
    23. 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.
    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.
    25. Rapoport, Amnon & Boebel, Richard B., 1992. "Mixed strategies in strictly competitive games: A further test of the minimax hypothesis," Games and Economic Behavior, Elsevier, vol. 4(2), pages 261-283, April.
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    Cited by:

    1. Ashok S. Guha & Brishti Guha, 2009. "Trade, Growth, and Increasing Returns to Infrastructure: The Role of the Sophisticated Monopolist," Review of International Economics, Wiley Blackwell, vol. 17(5), pages 1053-1065, November.
    2. 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.
    3. Esteban F. Klor & Eyal Winter, 2018. "On public opinion polls and voters' turnout," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 20(2), pages 239-256, April.
    4. 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.
    5. Vincent P. Crawford & Miguel A. Costa-Gomes & Nagore Iriberri, 2010. "Strategic Thinking," Levine's Working Paper Archive 661465000000001148, David K. Levine.
    6. Sourav Bhattacharya, 2011. "Campaign Rhetoric and the Hide-&-Seek Game," Working Paper 457, Department of Economics, University of Pittsburgh, revised Nov 2012.
    7. 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.
    8. Tore Ellingsen & Robert Östling, 2010. "When Does Communication Improve Coordination?," American Economic Review, American Economic Association, vol. 100(4), pages 1695-1724, September.
    9. Wengström, Erik, 2007. "Setting the Anchor: Price Competition, Level-n Theory and Communication," Working Papers 2007:6, Lund University, Department of Economics.
    10. Colin F. Camerer & Thomas R. Palfrey & Brian W. Rogers, 2006. "Heterogeneous Quantal Response Equilibrium," Levine's Bibliography 321307000000000193, UCLA Department of Economics.
    11. repec:ebl:ecbull:v:3:y:2008:i:66:p:1-15 is not listed on IDEAS
    12. Miguel A Costa-Gomes & Vincent P Crawford & Nagore Iriberri, 2008. "Comparing Models of Strategic Thinking in Van Huyck, Battalio, and Beil’s Coordination Games," Levine's Working Paper Archive 122247000000002346, David K. Levine.

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