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Anchors of Strategic Reasoning in the Traveler's Dilemma

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Listed:
  • Hanh T. Tong

    (Theory+Practice)

  • David J. Freeman

    (Simon Fraser University)

Abstract

We experimentally study players' initial beliefs about non-strategic play that an- chors their strategic reasoning in the traveler's dilemma, a game in which each player chooses a number and has the incentive to undercut their opponent by the minimal amount possible. In a within-subject design, each subject repeatedly plays variations of the traveler's dilemma game without feedback. To identify their strategic reasoning, we vary the upper and lower bounds of the strategy space in each round, and also vary the reward/penalty for undercutting. We nd that players are both heterogeneous in the amount that they reason, and in their beliefs about non-strategic play. Notably, few players anchor their strategic reasoning on non-strategic uniform random play. We also nd ample evidence of non-strategic play. Our results caution against the common practice of assuming the same anchor of initial reasoning for all players when estimating players' depths of strategic reasoning.

Suggested Citation

  • Hanh T. Tong & David J. Freeman, 2021. "Anchors of Strategic Reasoning in the Traveler's Dilemma," Discussion Papers dp21-09, Department of Economics, Simon Fraser University.
    • Handle: RePEc:sfu:sfudps:dp21-09
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    References listed on IDEAS

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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. Marina Agranov & Andrew Caplin & Chloe Tergiman, 2015. "Naive play and the process of choice in guessing games," Journal of the Economic Science Association, Springer;Economic Science Association, vol. 1(2), pages 146-157, December.
    3. 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.
    4. Vuong, Quang H, 1989. "Likelihood Ratio Tests for Model Selection and Non-nested Hypotheses," Econometrica, Econometric Society, vol. 57(2), pages 307-333, March.
    5. Nicholas Bardsley & Judith Mehta & Chris Starmer & Robert Sugden, 2010. "Explaining Focal Points: Cognitive Hierarchy Theory "versus" Team Reasoning," Economic Journal, Royal Economic Society, vol. 120(543), pages 40-79, March.
    6. 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.
    7. Terri Kneeland, 2015. "Identifying Higher‐Order Rationality," Econometrica, Econometric Society, vol. 83(5), pages 2065-2079, September.
    8. Burchardi, Konrad B. & Penczynski, Stefan P., 2014. "Out of your mind: Eliciting individual reasoning in one shot games," Games and Economic Behavior, Elsevier, vol. 84(C), pages 39-57.
    9. Goeree, Jacob K. & Holt, Charles A., 2004. "A model of noisy introspection," Games and Economic Behavior, Elsevier, vol. 46(2), pages 365-382, February.
    10. Ayala Arad & Ariel Rubinstein, 2012. "The 11-20 Money Request Game: A Level-k Reasoning Study," American Economic Review, American Economic Association, vol. 102(7), pages 3561-3573, December.
    11. 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.
    12. Nagel, Rosemarie, 1995. "Unraveling in Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 85(5), pages 1313-1326, December.
    13. 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.
    14. 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.
    15. Penczynski, Stefan P., 2016. "Strategic thinking: The influence of the game," Journal of Economic Behavior & Organization, Elsevier, vol. 128(C), pages 72-84.
    16. C. Monica Capra, 1999. "Anomalous Behavior in a Traveler's Dilemma?," American Economic Review, American Economic Association, vol. 89(3), pages 678-690, June.
    17. 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.
    18. Shaun Hargreaves Heap & David Rojo Arjona & Robert Sugden, 2014. "How Portable Is Level‐0 Behavior? A Test of Level‐k Theory in Games With Non‐Neutral Frames," Econometrica, Econometric Society, vol. 82(3), pages 1133-1151, May.
    19. Basu, Kaushik, 1994. "The Traveler's Dilemma: Paradoxes of Rationality in Game Theory," American Economic Review, American Economic Association, vol. 84(2), pages 391-395, May.
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    Cited by:

    1. Bernabe, Angelique & Hossain, Tanjim & Yu, Haomiao, 2021. "Truth, Honesty, and Strategic Interactions," MPRA Paper 109968, University Library of Munich, Germany.

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