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The development of randomization and deceptive behavior in mixed strategy games

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  • Isabelle Brocas
  • Juan D. Carrillo

Abstract

We study the foundations for the development of optimal randomization in mixed strategy games. We consider a population of children and adolescents (7 to 16 years old) and study in the laboratory their behavior in a nonzero sum, hide‐and‐seek game with a unique interior mixed strategy equilibrium where each location has a known but different value. The vast majority of participants favor the high‐value location not only as seekers (as predicted by theory) but also as hiders (in contradiction with theory). The behavior is extremely similar across all ages, and also similar to that of the college students control adult group. We also study the use of cheap talk (potentially deceptive) messages in this game. Hiders are excessively truthful in the messages they send while seekers have a slight tendency to (correctly) believe hiders. In general, however, messages have a small impact on outcomes. The results point to a powerful (erroneous) heuristic thinking in two‐person randomization settings that does not get corrected, even partially, with age.

Suggested Citation

  • Isabelle Brocas & Juan D. Carrillo, 2022. "The development of randomization and deceptive behavior in mixed strategy games," Quantitative Economics, Econometric Society, vol. 13(2), pages 825-862, May.
    • Handle: RePEc:wly:quante:v:13:y:2022:i:2:p:825-862
    DOI: 10.3982/QE1769
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    Cited by:

    1. Antonio Alfonso & Pablo Brañas-Garza & Diego Jorrat & Benjamín Prissé & María José Vázquez-De Francisco, 2024. "The Baking of Preferences throughout the High School," Working Papers 316, Red Nacional de Investigadores en Economía (RedNIE).
    2. Alfonso, Antonio & Brañas-Garza, Pablo & Jorrat, Diego & Lomas, Pablo & Prissé, Benjamin & Vasco, Mónica & Vázquez-De Francisco, María J., 2023. "The adventure of running experiments with teenagers," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 106(C).
    3. Brocas, Isabelle & Carrillo, Juan D., 2022. "Adverse selection and contingent reasoning in preadolescents and teenagers," Games and Economic Behavior, Elsevier, vol. 133(C), pages 331-351.

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