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Coordination under limited depth of reasoning

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  • Kneeland, Terri

Abstract

This paper provides the first unified explanation of behavior in coordinated attack games under both public and private information. It demonstrates that the main experimental results, such as threshold strategies, comparative statics, and the differences in behavior under public and private information, are robust predictions of limited depth of reasoning models. This is in contrast to equilibrium, which mispredicts the coordinating roles of public and private information. The analysis has implications for understanding macroeconomic phenomena, like currency attacks and debt crises, which are commonly modeled using incomplete information coordinated attack games.

Suggested Citation

  • Kneeland, Terri, 2016. "Coordination under limited depth of reasoning," Games and Economic Behavior, Elsevier, vol. 96(C), pages 49-64.
  • Handle: RePEc:eee:gamebe:v:96:y:2016:i:c:p:49-64
    DOI: 10.1016/j.geb.2015.12.011
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    Cited by:

    1. Shuige Liu, 2024. "Level-$k$ Reasoning, Cognitive Hierarchy, and Rationalizability," Papers 2404.19623, arXiv.org, revised Sep 2024.
    2. Strzalecki, Tomasz, 2014. "Depth of reasoning and higher order beliefs," Journal of Economic Behavior & Organization, Elsevier, vol. 108(C), pages 108-122.
    3. Marco Serena, 2017. "A Belief-based Theory for Private Information Games," Working Papers tax-mpg-rps-2018-12, Max Planck Institute for Tax Law and Public Finance.
    4. Külpmann, Philipp & Khantadze, Davit, 2016. "Identifying the reasons for coordination failure in a laboratory experiment," Center for Mathematical Economics Working Papers 567, Center for Mathematical Economics, Bielefeld University.
    5. Kota Murayama, 2020. "Robust predictions under finite depth of reasoning," The Japanese Economic Review, Springer, vol. 71(1), pages 59-84, January.
    6. 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.
    7. Evan M. Calford & Anujit Chakraborty, 2022. "Higher-order Beliefs in a Sequential Social Dilemma," ANU Working Papers in Economics and Econometrics 2022-681, Australian National University, College of Business and Economics, School of Economics.
    8. Georganas, Sotiris & Healy, Paul J. & Weber, Roberto A., 2015. "On the persistence of strategic sophistication," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 369-400.
    9. Ioannou, Christos A. & Makris, Miltiadis, 2017. "An experimental investigation of Poisson Coordination games," Discussion Paper Series In Economics And Econometrics 1506, Economics Division, School of Social Sciences, University of Southampton.
    10. Szkup, Michal & Trevino, Isabel, 2020. "Sentiments, strategic uncertainty, and information structures in coordination games," Games and Economic Behavior, Elsevier, vol. 124(C), pages 534-553.
    11. Christos A. Ioannou & Miltiadis Makris, 2019. "An Experimental Study Of Uncertainty In Coordination Games," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 60(2), pages 751-799, May.
    12. Kota Murayama, 2015. "Robust Predictions under Finite Depth of Reasoning," Discussion Paper Series DP2015-28, Research Institute for Economics & Business Administration, Kobe University.
    13. 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.
    14. 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.

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    Keywords

    Coordination games; Level-k models; Cognitive hierarchy models; Global games;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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