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Evolution of theories of mind

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  • Mohlin, Erik
Abstract
This paper studies the evolution of peoplesʼ models of how other people think – their theories of mind. This is formalized within the level-k model, which postulates a hierarchy of types, such that type k plays a k times iterated best response to the uniform distribution. It is found that, under plausible conditions, lower types co-exist with higher types. The results are extended to a model of learning, in which type k plays a k times iterated best response the average of past play. The model is also extended to allow for partial observability of the opponentʼs type.

Suggested Citation

  • Mohlin, Erik, 2012. "Evolution of theories of mind," Games and Economic Behavior, Elsevier, vol. 75(1), pages 299-318.
    • Handle: RePEc:eee:gamebe:v:75:y:2012:i:1:p:299-318
    DOI: 10.1016/j.geb.2011.11.009
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    Cited by:

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    2. Heller, Yuval, 2015. "Three steps ahead," Theoretical Economics, Econometric Society, vol. 10(1), January.
    3. Dimitry Rtischev, 2016. "Evolution of Mindsight and Psychological Commitment among Strategically Interacting Agents," Games, MDPI, vol. 7(3), pages 1-16, September.
    4. Takako Fujiwara-Greve & Carsten Krabbe Nielsen, 2021. "Algorithms may not learn to play a unique Nash equilibrium," Journal of Computational Social Science, Springer, vol. 4(2), pages 839-850, November.
    5. Sheen S. Levine & Mark Bernard & Rosemarie Nagel, 2018. "Strategic intelligence: The cognitive capability to anticipate competitor behaviour," Strategic Management Journal, Wiley Blackwell, vol. 39(2), pages 527-527, February.
    6. Heller, Yuval & Mohlin, Erik, 2019. "Coevolution of deception and preferences: Darwin and Nash meet Machiavelli," Games and Economic Behavior, Elsevier, vol. 113(C), pages 223-247.
    7. Kimbrough, Erik O. & Robalino, Nikolaus & Robson, Arthur J., 2017. "Applying “theory of mind”: Theory and experiments," Games and Economic Behavior, Elsevier, vol. 106(C), pages 209-226.
    8. Erik O. Kimbrough & Nikolaus Robalino & Arthur J. Robson, 2013. "The Evolution of 'Theory of Mind': Theory and Experiments," Cowles Foundation Discussion Papers 1908, Cowles Foundation for Research in Economics, Yale University.
    9. Sawa, Ryoji, 2021. "A stochastic stability analysis with observation errors in normal form games," Games and Economic Behavior, Elsevier, vol. 129(C), pages 570-589.
    10. Abhimanyu Khan & Ronald Peeters, 2014. "Cognitive hierarchies in adaptive play," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(4), pages 903-924, November.
    11. Sawa, Ryoji, 2021. "A prospect theory Nash bargaining solution and its stochastic stability," Journal of Economic Behavior & Organization, Elsevier, vol. 184(C), pages 692-711.
    12. Casajus, André & Kramm, Michael & Wiese, Harald, 2020. "Asymptotic stability in the Lovász-Shapley replicator dynamic for cooperative games," Journal of Economic Theory, Elsevier, vol. 186(C).
    13. Bernergård, Axel & Mohlin, Erik, 2019. "Evolutionary selection against iteratively weakly dominated strategies," Games and Economic Behavior, Elsevier, vol. 117(C), pages 82-97.
    14. Jonathan Newton, 2018. "Evolutionary Game Theory: A Renaissance," Games, MDPI, vol. 9(2), pages 1-67, May.
    15. Sandholm, William H., 2015. "Population Games and Deterministic Evolutionary Dynamics," Handbook of Game Theory with Economic Applications,, Elsevier.

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    More about this item

    Keywords

    Theory of mind; Depth of reasoning; Evolution; Learning; Level-k; Fictitious play; Cognitive hierarchy;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
    • D03 - Microeconomics - - General - - - Behavioral Microeconomics: Underlying Principles
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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