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Adolescents, Cognitive Ability, and Minimax Play

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Listed:
  • Shachat, Jason
  • Geng, Sen
  • Peng, Yujia
  • Zhong, Huizhen

Abstract

We conduct experiments with adolescent participants on repeated fixed play in three different zero-sum games which have mixed strategy minimax solutions. Further, we collect subject information on cognitive abilities and participation rates in competitive activities. We find the adolescents' correspondences with and deviations from minimax play largely consistent with previously and widely studied adult populations. Further, we find strategic sophistication in terms of implementation of the mixed minimax strategy as well as earnings are not correlated with cognitive ability nor previous experience in competitive situations.

Suggested Citation

  • Shachat, Jason & Geng, Sen & Peng, Yujia & Zhong, Huizhen, 2014. "Adolescents, Cognitive Ability, and Minimax Play," MPRA Paper 57710, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:57710
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    References listed on IDEAS

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    1. Wooders, John & Shachat, Jason M., 2001. "On the Irrelevance of Risk Attitudes in Repeated Two-Outcome Games," Games and Economic Behavior, Elsevier, vol. 34(2), pages 342-363, February.
    2. Czermak, Simon & Feri, Francesco & Glätzle-Rützler, Daniela & Sutter, Matthias, 2010. "Strategic Sophistication of Adolescents: Evidence from Experimental Normal-Form Games," IZA Discussion Papers 5049, Institute of Labor Economics (IZA).
    3. Murnighan, J. Keith & Saxon, Michael Scott, 1998. "Ultimatum bargaining by children and adults," Journal of Economic Psychology, Elsevier, vol. 19(4), pages 415-445, August.
    4. Mark Walker & John Wooders, 2001. "Minimax Play at Wimbledon," American Economic Review, American Economic Association, vol. 91(5), pages 1521-1538, December.
    5. Steven Levitt & John List & David Reiley, 2010. "What happens in the field stays in the field: Professionals do not play minimax in laboratory experiments," Artefactual Field Experiments 00080, The Field Experiments Website.
    6. 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.
    7. Devetag, Giovanna & Warglien, Massimo, 2003. "Games and phone numbers: Do short-term memory bounds affect strategic behavior?," Journal of Economic Psychology, Elsevier, vol. 24(2), pages 189-202, April.
    8. Steven D. Levitt & John A. List & David H. Reiley, 2010. "What Happens in the Field Stays in the Field: Exploring Whether Professionals Play Minimax in Laboratory Experiments," Econometrica, Econometric Society, vol. 78(4), pages 1413-1434, July.
    9. repec:zbw:rwirep:0360 is not listed on IDEAS
    10. Fehr, Ernst & Glätzle-Rützler, Daniela & Sutter, Matthias, 2013. "The development of egalitarianism, altruism, spite and parochialism in childhood and adolescence," European Economic Review, Elsevier, vol. 64(C), pages 369-383.
    11. Ernst Fehr & Helen Bernhard & Bettina Rockenbach, 2008. "Egalitarianism in young children," Nature, Nature, vol. 454(7208), pages 1079-1083, August.
    12. Brosig-Koch, Jeannette & Heinrich, Timo & Helbach, Christoph, 2015. "Exploring the capability to reason backwards: An experimental study with children, adolescents, and young adults," European Economic Review, Elsevier, vol. 74(C), pages 286-302.
    13. Okano, Yoshitaka, 2013. "Minimax play by teams," Games and Economic Behavior, Elsevier, vol. 77(1), pages 168-180.
    14. Paul R. Rosenbaum, 2005. "An exact distribution‐free test comparing two multivariate distributions based on adjacency," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 67(4), pages 515-530, September.
    15. 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.
    16. Van Essen, Matt & Wooders, John, 2015. "Blind stealing: Experience and expertise in a mixed-strategy poker experiment," Games and Economic Behavior, Elsevier, vol. 91(C), pages 186-206.
    17. Carpenter, Jeffrey & Graham, Michael & Wolf, Jesse, 2013. "Cognitive ability and strategic sophistication," Games and Economic Behavior, Elsevier, vol. 80(C), pages 115-130.
    18. repec:feb:artefa:0094 is not listed on IDEAS
    19. Brosig-Koch, Jeannette & Heinrich, Timo & Helbach, Christoph, 2012. "Exploring the Capability to Backward Induct – An Experimental Study with Children and Young Adults," Ruhr Economic Papers 360, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
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    Cited by:

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    2. Sean Duffy & J. J. Naddeo & David Owens & John Smith, 2024. "Cognitive Load and Mixed Strategies: On Brains and Minimax," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 26(03), pages 1-34, September.
    3. Timo Heinrich & Jason Shachat, 2020. "The development of risk aversion and prudence in Chinese children and adolescents," Journal of Risk and Uncertainty, Springer, vol. 61(3), pages 263-287, December.
    4. Emara, Noha & Owens, David & Smith, John & Wilmer, Lisa, 2017. "Serial correlation in National Football League play calling and its effects on outcomes," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 69(C), pages 125-132.
    5. Heifetz, Aviad & Heller, Ruth & Ostreiher, Roni, 2021. "Do Arabian babblers play mixed strategies in a “volunteer’s dilemma”?," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 91(C).
    6. Brañas-Garza, Pablo & Smith, John, 2016. "Cognitive abilities and economic behavior," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 64(C), pages 1-4.

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    More about this item

    Keywords

    Minimax; experimental game; adolescent; cognitive abilities;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C93 - Mathematical and Quantitative Methods - - Design of Experiments - - - Field Experiments
    • D03 - Microeconomics - - General - - - Behavioral Microeconomics: Underlying Principles

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