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The strategic environment effect in beauty contest games

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  • Nobuyuki Hanaki

    (GREDEG - Groupe de Recherche en Droit, Economie et Gestion - UNS - Université Nice Sophia Antipolis (1965 - 2019) - CNRS - Centre National de la Recherche Scientifique - UniCA - Université Côte d'Azur)

  • Yukio Koriyama

    (X-DEP-ECO - Département d'Économie de l'École Polytechnique - X - École polytechnique)

  • Angela Sutan

    (BSB - Burgundy School of Business (BSB) - Ecole Supérieure de Commerce de Dijon Bourgogne (ESC))

  • Marc Willinger

    (CEE-M - Centre d'Economie de l'Environnement - Montpellier - FRE2010 - INRA - Institut National de la Recherche Agronomique - UM - Université de Montpellier - CNRS - Centre National de la Recherche Scientifique - Montpellier SupAgro - Institut national d’études supérieures agronomiques de Montpellier)

Abstract

Recent experimental studies have shown that observed outcomes deviate significantly more from the Nash equilibrium when actions are strategic complements than when they are strategic substitutes. This "strategic environment effect" offers promising insights into the aggregate consequences of interactions among heterogeneous boundedly rational agents, but its macroeconomic implications have been questioned because the underlying experiments involve a small number of agents. We studied beauty contest games with a unique interior Nash equilibrium to determine the critical group size for triggering the strategic environment effect, and we use both theory and experiments to shed light on its effectiveness. Based on cognitive hierarchy and level-K models, we show theoretically that the effect is operative for interactions among three or more agents. Our experimental results show a statistically significant strategic environment effect for groups of five or more agents, establishing its robustness against the increase in the population size.

Suggested Citation

  • Nobuyuki Hanaki & Yukio Koriyama & Angela Sutan & Marc Willinger, 2019. "The strategic environment effect in beauty contest games," Post-Print halshs-01929113, HAL.
    • Handle: RePEc:hal:journl:halshs-01929113
    DOI: 10.1016/j.geb.2018.11.006
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-01929113
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    Cited by:

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    2. Bao, Te & Hommes, Cars & Pei, Jiaoying, 2021. "Expectation formation in finance and macroeconomics: A review of new experimental evidence," Journal of Behavioral and Experimental Finance, Elsevier, vol. 32(C).
    3. Bulutay, Muhammed & Cornand, Camille & Zylbersztejn, Adam, 2022. "Learning to deal with repeated shocks under strategic complementarity: An experiment," Journal of Economic Behavior & Organization, Elsevier, vol. 200(C), pages 1318-1343.
    4. Michaël Assous & Muriel Dal Pont Legrand & Harald Hagemann, 2016. "Business cycles and growth," Chapters, in: Gilbert Faccarello & Heinz D. Kurz (ed.), Handbook on the History of Economic Analysis Volume III, chapter 4, pages 27-39, Edward Elgar Publishing.
    5. Cars Hommes & Anita Kopányi-Peuker & Joep Sonnemans, 2021. "Bubbles, crashes and information contagion in large-group asset market experiments," Experimental Economics, Springer;Economic Science Association, vol. 24(2), pages 414-433, June.
    6. Nagel, Rosemarie & Bühren, Christoph & Frank, Björn, 2017. "Inspired and inspiring: Hervé Moulin and the discovery of the beauty contest game," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 191-207.
    7. Nobuyuki Hanaki, 2020. "Cognitive ability and observed behavior in laboratory experiments: implications for macroeconomic theory," The Japanese Economic Review, Springer, vol. 71(3), pages 355-378, July.
    8. Yukio Koriyama & Ali Ihsan Ozkes, 2017. "Condorcet Jury Theorem and Cognitive Hierarchies: Theory and Experiments," Working Papers halshs-01485748, HAL.
    9. Boun My, Kene & Cornand, Camille & Dos Santos Ferreira, Rodolphe, 2021. "Public information and the concern for coordination," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 93(C).
    10. Cooper, Kristen B. & Schneider, Henry S. & Waldman, Michael, 2017. "Limited rationality and the strategic environment: Further theory and experimental evidence," Games and Economic Behavior, Elsevier, vol. 106(C), pages 188-208.
    11. Zafer Akin, 2023. "Asymmetric guessing games," Theory and Decision, Springer, vol. 94(4), pages 637-676, May.
    12. Liu, Tianwei, 2016. "Heterogeneity in Guessing Games: An Experiment," MPRA Paper 75001, University Library of Munich, Germany.
    13. Henning Hermes & Daniel Schunk, 2022. "If you could read my mind–an experimental beauty-contest game with children," Experimental Economics, Springer;Economic Science Association, vol. 25(1), pages 229-253, February.
    14. Weber, Matthias, 2022. "From Individual Human Decisions to Economic and Financial Policies," SocArXiv 5ju7z, Center for Open Science.

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    More about this item

    Keywords

    beauty contest games; iterative reasoning; strategic substitutability; strategic complementarity;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior

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