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Minimax play by teams

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  • Okano, Yoshitaka

Abstract

We analyze the behavior of two-person teams and individuals who repeatedly play the game with a unique mixed strategy equilibrium in the laboratory. When teams play OʼNeillʼs 4×4 game against another team, the choice frequencies are consistent with equilibrium of the game at the decision-maker level. In contrast, individuals against another individual play far from equilibrium, as previous experiments have found. The hide-and-seek game experiment reveals that teamsʼ behavior is less heterogeneous than individuals. When teams play OʼNeillʼs game against individuals, teams win at above the equilibrium rate in one treatment, but not in the other.

Suggested Citation

  • Okano, Yoshitaka, 2013. "Minimax play by teams," Games and Economic Behavior, Elsevier, vol. 77(1), pages 168-180.
    • Handle: RePEc:eee:gamebe:v:77:y:2013:i:1:p:168-180
    DOI: 10.1016/j.geb.2012.10.003
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    1. Davis, James H., 1992. "Some compelling intuitions about group consensus decisions, theoretical and empirical research, and interpersonal aggregation phenomena: Selected examples 1950-1990," Organizational Behavior and Human Decision Processes, Elsevier, vol. 52(1), pages 3-38, June.
    2. Mookherjee Dilip & Sopher Barry, 1994. "Learning Behavior in an Experimental Matching Pennies Game," Games and Economic Behavior, Elsevier, vol. 7(1), pages 62-91, July.
    3. 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.
    4. Ignacio Palacios-Huerta & Oscar Volij, 2008. "Experientia Docet: Professionals Play Minimax in Laboratory Experiments," Econometrica, Econometric Society, vol. 76(1), pages 71-115, January.
    5. Brown, James N & Rosenthal, Robert W, 1990. "Testing the Minimax Hypothesis: A Re-examination of O'Neill's Game Experiment," Econometrica, Econometric Society, vol. 58(5), pages 1065-1081, September.
    6. 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.
    7. Martin G. Kocher & Matthias Sutter, 2005. "The Decision Maker Matters: Individual Versus Group Behaviour in Experimental Beauty-Contest Games," Economic Journal, Royal Economic Society, vol. 115(500), pages 200-223, January.
    8. Binmore, Ken & Swierzbinski, Joe & Proulx, Chris, 2001. "Does Minimax Work? An Experimental Study," Economic Journal, Royal Economic Society, vol. 111(473), pages 445-464, July.
    9. David J. Cooper & John H. Kagel, 2005. "Are Two Heads Better Than One? Team versus Individual Play in Signaling Games," American Economic Review, American Economic Association, vol. 95(3), pages 477-509, June.
    10. Mark Walker & John Wooders, 2001. "Minimax Play at Wimbledon," American Economic Review, American Economic Association, vol. 91(5), pages 1521-1538, December.
    11. James Cox & Stephen Hayne, 2006. "Barking up the right tree: Are small groups rational agents?," Experimental Economics, Springer;Economic Science Association, vol. 9(3), pages 209-222, September.
    12. repec:feb:artefa:0094 is not listed on IDEAS
    13. 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.
    14. P.-A. Chiappori, 2002. "Testing Mixed-Strategy Equilibria When Players Are Heterogeneous: The Case of Penalty Kicks in Soccer," American Economic Review, American Economic Association, vol. 92(4), pages 1138-1151, September.
    15. Cason, Timothy N & Mui, Vai-Lam, 1997. "A Laboratory Study of Group Polarisation in the Team Dictator Game," Economic Journal, Royal Economic Society, vol. 107(444), pages 1465-1483, September.
    16. Ignacio Palacios-Huerta, 2003. "Professionals Play Minimax," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 70(2), pages 395-415.
    17. 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.
    18. Gary Bornstein & Ilan Yaniv, 1998. "Individual and Group Behavior in the Ultimatum Game: Are Groups More “Rational” Players?," Experimental Economics, Springer;Economic Science Association, vol. 1(1), pages 101-108, June.
    19. John Wooders, 2010. "Does Experience Teach? Professionals and Minimax Play in the Lab," Econometrica, Econometric Society, vol. 78(3), pages 1143-1154, May.
    20. Blinder, Alan S & Morgan, John, 2005. "Are Two Heads Better than One? Monetary Policy by Committee," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 37(5), pages 789-811, October.
    21. Shachat, Jason M., 2002. "Mixed Strategy Play and the Minimax Hypothesis," Journal of Economic Theory, Elsevier, vol. 104(1), pages 189-226, May.
    22. 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.
    23. Shih-Hsun Hsu & Chen-Ying Huang & Cheng-Tao Tang, 2007. "Minimax Play at Wimbledon: Comment," American Economic Review, American Economic Association, vol. 97(1), pages 517-523, March.
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    6. Yoshitaka Okano, 2017. "Team vs. Individual, Hypothesis Testing vs. Model Selection, and the Minimax Model," Working Papers SDES-2017-18, Kochi University of Technology, School of Economics and Management, revised Oct 2017.
    7. Wang Zhijian, 2022. "Game Dynamics Structure Control by Design: an Example from Experimental Economics," Papers 2203.06088, arXiv.org.
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    More about this item

    Keywords

    Team vs. individual decision making; Minimax; Heterogeneity; Experiment;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior

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