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Level-k reasoning in a generalized beauty contest

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  • Shapiro, Dmitry
  • Shi, Xianwen
  • Zillante, Artie

Abstract

We study how the predictive power of level-k models changes as we perturb the classical beauty contest setting along two dimensions: the strength of the coordination motive and the information symmetry. We use a variation of the Morris and Shin (2002) model as the unified framework for our study, and find that the predictive power of level-k models varies considerably along these two dimensions. Level-k models are successful in predicting subject behavior in settings with symmetric information and a strong coordination motive. Their predictive power weakens significantly when either private information is introduced or the importance of the coordination motive is decreased.

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  • Shapiro, Dmitry & Shi, Xianwen & Zillante, Artie, 2014. "Level-k reasoning in a generalized beauty contest," Games and Economic Behavior, Elsevier, vol. 86(C), pages 308-329.
  • Handle: RePEc:eee:gamebe:v:86:y:2014:i:c:p:308-329
    DOI: 10.1016/j.geb.2014.04.002
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    Cited by:

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    2. Jorge González-Ortega & Refik Soyer & David Ríos Insua & Fabrizio Ruggeri, 2021. "An Adversarial Risk Analysis Framework for Batch Acceptance Problems," Decision Analysis, INFORMS, vol. 18(1), pages 25-40, March.
    3. Breitmoser, Yves, 2017. "Knowing Me, Imagining You:," Rationality and Competition Discussion Paper Series 36, CRC TRR 190 Rationality and Competition.
    4. Kene Boun My & Camille Cornand & Rodolphe dos Santos Ferreira, 2017. "Public information and the concern for coordination," Working Papers halshs-01485677, HAL.
    5. repec:cup:judgdm:v:17:y:2022:i:4:p:691-719 is not listed on IDEAS
    6. Ruiz-Buforn, Alba & Camacho-Cuena, Eva & Morone, Andrea & Alfarano, Simone, 2021. "Overweighting of public information in financial markets: A lesson from the lab," Journal of Banking & Finance, Elsevier, vol. 133(C).
    7. Trabelsi, Emna & Hichri, Walid, 2021. "Central Bank Transparency with (semi-)public Information: Laboratory Experiments," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 90(C).
    8. Kene Boun My & Camille Cornand & Rodolphe Dos Santos Ferreira, 2017. "Speculation rather than enterprise? Keynes’ beauty contest revisited in theory and experiment," Working Papers of BETA 2017-13, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    9. Carlos Alós-Ferrer & Johannes Buckenmaier, 2021. "Cognitive sophistication and deliberation times," Experimental Economics, Springer;Economic Science Association, vol. 24(2), pages 558-592, June.
    10. Breitmoser, Yves, 2019. "Knowing me, imagining you: Projection and overbidding in auctions," Games and Economic Behavior, Elsevier, vol. 113(C), pages 423-447.
    11. Camille Cornand & Frank Heinemann, 2018. "Experiments on macroeconomics: methods and applications," Working Papers halshs-01809937, HAL.
    12. 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.
    13. Alba Ruiz-Buforn & Simone Alfarano & Eva Camacho-Cuena & Andrea Morone, 2022. "Single vs. multiple disclosures in an experimental asset market with information acquisition," The European Journal of Finance, Taylor & Francis Journals, vol. 28(13-15), pages 1513-1539, October.
    14. Camille Cornand & Frank Heinemann, 2018. "Experiments on macroeconomics: methods and applications," Working Papers 1810, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
    15. Camille Cornand & Frank Heinemann, 2014. "Experiments on Monetary Policy and Central Banking," Research in Experimental Economics, in: Experiments in Macroeconomics, volume 17, pages 167-227, Emerald Group Publishing Limited.
    16. Penczynski, Stefan P., 2016. "Strategic thinking: The influence of the game," Journal of Economic Behavior & Organization, Elsevier, vol. 128(C), pages 72-84.
    17. Kneeland, Terri, 2016. "Coordination under limited depth of reasoning," Games and Economic Behavior, Elsevier, vol. 96(C), pages 49-64.
    18. Zakharov, Alexei & Bondarenko, Oxana, 2021. "Social status and social learning," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 90(C).
    19. repec:jdm:journl:v:17:y:2022:i:4:p:691-719 is not listed on IDEAS
    20. Steven J. Bosworth, 2017. "The importance of higher-order beliefs to successful coordination," Experimental Economics, Springer;Economic Science Association, vol. 20(1), pages 237-258, March.
    21. Volker Benndorf & Dorothea Kübler & Hans-Theo Normann, 2017. "Depth of Reasoning and Information Revelation: An Experiment on the Distribution of k-Levels," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 19(04), pages 1-18, December.
    22. Helland, Leif & Iachan, Felipe S. & Juelsrud, Ragnar E. & Nenov, Plamen T., 2021. "Information quality and regime change: Evidence from the lab," Journal of Economic Behavior & Organization, Elsevier, vol. 191(C), pages 538-554.
    23. Anna Bassi & Kenneth C. Williams, 2014. "Examining Monotonicity and Saliency Using Level- k Reasoning in a Voting Game," Games, MDPI, vol. 5(1), pages 1-27, February.

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    More about this item

    Keywords

    Level-k models; Beauty contests; Coordination games;
    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
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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