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Multidimensional Reasoning in Games: Framework, Equilibrium, and Applications

Author

Listed:
  • Ayala Arad
  • Ariel Rubinstein

Abstract

We develop a framework for analyzing multidimensional reasoning in strategic interactions, which is motivated by two experimental findings: (i) in games with a large and complex strategy space, players tend to think in terms of strategy characteristics rather than the strategies themselves; (ii) in their strategic deliberation, players consider one characteristic at a time. A multidimensional equilibrium is a vector of characteristics representing a stable mode of behavior: a player does not wish to modify any one characteristic. The concept is applied to several economic interactions, where a vector of characteristics, rather than a distribution of strategies, is identified as stable.

Suggested Citation

  • Ayala Arad & Ariel Rubinstein, 2019. "Multidimensional Reasoning in Games: Framework, Equilibrium, and Applications," American Economic Journal: Microeconomics, American Economic Association, vol. 11(3), pages 285-318, August.
    • Handle: RePEc:aea:aejmic:v:11:y:2019:i:3:p:285-318
    Note: DOI: 10.1257/mic.20170322
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    Citations

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    Cited by:

    1. Srinivas Arigapudi & Omer Edhan & Yuval Heller & Ziv Hellman, 2022. "Mentors and Recombinators: Multi-Dimensional Social Learning," Papers 2205.00278, arXiv.org, revised Nov 2023.
    2. Arad, Ayala & Penczynski, Stefan P., 2024. "Multi-dimensional reasoning in competitive resource allocation games: Evidence from intra-team communication," Games and Economic Behavior, Elsevier, vol. 144(C), pages 355-377.
    3. Philippe Jehiel, 2022. "Analogy-Based Expectation Equilibrium and Related Concepts:Theory, Applications, and Beyond," Working Papers halshs-03735680, HAL.
    4. Daskalova, Vessela & Vriend, Nicolaas J., 2021. "Learning frames," Journal of Economic Behavior & Organization, Elsevier, vol. 191(C), pages 78-96.
    5. Brian Roberson & Oz Shy, 2021. "Costly force relocation in the Colonel Blotto game," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(1), pages 39-52, April.
    6. Evan Friedman & Duarte Gonc{c}alves, 2023. "Quantal Response Equilibrium with a Continuum of Types: Characterization and Nonparametric Identification," Papers 2307.08011, arXiv.org, revised Mar 2024.
    7. Philippe Jehiel & Erik Mohlin, 2023. "Categorization in Games: A Bias-Variance Perspective," Working Papers halshs-04154272, HAL.

    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

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