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Strategic reasoning in p-beauty contests

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  • Breitmoser, Yves

Abstract

This paper analyzes strategic choice in p-beauty contests. First, I show that it is not generally a best reply to guess the expected target value, even in games with n>2 players, and that iterated best response strictly applied does not induce a choice sequence approximating pk⋅0.5. Second, I argue that the beliefs and actions of players typically considered to be level 2–4 are intuitively captured also by high-level concepts such as quantal response equilibrium and noisy introspection. Third, I analyze this hypothesis econometrically. The results concur. In six different data sets, the choices are described more adequately as mixtures of quantal response equilibrium and noisy introspection than as level-k mixtures.

Suggested Citation

  • Breitmoser, Yves, 2012. "Strategic reasoning in p-beauty contests," Games and Economic Behavior, Elsevier, vol. 75(2), pages 555-569.
  • Handle: RePEc:eee:gamebe:v:75:y:2012:i:2:p:555-569
    DOI: 10.1016/j.geb.2012.02.010
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    Citations

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    Cited by:

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    2. Breitmoser, Yves, 2017. "Knowing Me, Imagining You:," Rationality and Competition Discussion Paper Series 36, CRC TRR 190 Rationality and Competition.
    3. 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.
    4. Hanaki, Nobuyuki & Koriyama, Yukio & Sutan, Angela & Willinger, Marc, 2019. "The strategic environment effect in beauty contest games," Games and Economic Behavior, Elsevier, vol. 113(C), pages 587-610.
    5. Wright, James R. & Leyton-Brown, Kevin, 2017. "Predicting human behavior in unrepeated, simultaneous-move games," Games and Economic Behavior, Elsevier, vol. 106(C), pages 16-37.
    6. Carlos Alós-Ferrer & Johannes Buckenmaier, 2021. "Cognitive sophistication and deliberation times," Experimental Economics, Springer;Economic Science Association, vol. 24(2), pages 558-592, June.
    7. Engel, Christoph, 2020. "Estimating heterogeneous reactions to experimental treatments," Journal of Economic Behavior & Organization, Elsevier, vol. 178(C), pages 124-147.
    8. Breitmoser, Yves, 2019. "Knowing me, imagining you: Projection and overbidding in auctions," Games and Economic Behavior, Elsevier, vol. 113(C), pages 423-447.
    9. Oren Bar-Gill & Christoph Engel, 2020. "Property is Dummy Proof: An Experiment," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2020_02, Max Planck Institute for Research on Collective Goods.
    10. Yukio Koriyama & Ali Ihsan Ozkes, 2017. "Condorcet Jury Theorem and Cognitive Hierarchies: Theory and Experiments," Working Papers halshs-01485748, HAL.
    11. Yves Breitmoser, 2015. "Cooperation, but No Reciprocity: Individual Strategies in the Repeated Prisoner's Dilemma," American Economic Review, American Economic Association, vol. 105(9), pages 2882-2910, September.
    12. Koriyama, Yukio & Ozkes, Ali I., 2021. "Inclusive cognitive hierarchy," Journal of Economic Behavior & Organization, Elsevier, vol. 186(C), pages 458-480.
    13. Mauersberger, Felix, 2019. "Thompson Sampling: Endogenously Random Behavior in Games and Markets," VfS Annual Conference 2019 (Leipzig): 30 Years after the Fall of the Berlin Wall - Democracy and Market Economy 203600, Verein für Socialpolitik / German Economic Association.
    14. Marcus Dittrich & Kristina Leipold, 2014. "Gender Differences in Strategic Reasoning," CESifo Working Paper Series 4763, CESifo.
    15. Mariano Runco, 2013. "Estimating depth of reasoning in a repeated guessing game with no feedback," Experimental Economics, Springer;Economic Science Association, vol. 16(3), pages 402-413, September.
    16. Bolle, Friedel, 2017. "Passing the Buck On the acceptance of responsibility," Research in Economics, Elsevier, vol. 71(1), pages 86-101.

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    More about this item

    Keywords

    Beauty contest; Logit equilibrium; Noisy introspection; Level-k;
    All these keywords.

    JEL classification:

    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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