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An Ultra-Refined Grammar for Interactions: Thoughts on Robert Aumann’s Philosophy of Game Theory

Author

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  • Alexander Linsbichler

Abstract

This note identifies and comments on selected crucial traits of Robert Aumann?s philosophy of game theory. In doing so, it aims at carving out and expressing some notions tacitly held by many working game theorists and ideally even at triggering subsequent reflection on the philosophy of game theory in general. According to my reconstruction of Aumann?s position, sophisticated, relatively precise rules of language?an ultra-refined grammar for interactions?constitute the heart of game theory. Consequently, the heart of game theory is devoid, or almost devoid, of empirical content. The final section proposes a nomenclature for lucidly discussing the relationships between theories, different types of models, and ?the real world? and employs it to explicate and slightly amend Aumann?s remarks on the role of truth and fruitfulness in game theory. JEL Codes: A13, B31, B41, C70, C79, D80.

Suggested Citation

  • Alexander Linsbichler, 2023. "An Ultra-Refined Grammar for Interactions: Thoughts on Robert Aumann’s Philosophy of Game Theory," Revue économique, Presses de Sciences-Po, vol. 74(4), pages 635-650.
    • Handle: RePEc:cai:recosp:reco_744_0635
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    Keywords

    Robert Aumann; game theory; truth; models; understanding; analyticity; empirical content;
    All these keywords.

    JEL classification:

    • A13 - General Economics and Teaching - - General Economics - - - Relation of Economics to Social Values
    • B31 - Schools of Economic Thought and Methodology - - History of Economic Thought: Individuals - - - Individuals
    • B41 - Schools of Economic Thought and Methodology - - Economic Methodology - - - Economic Methodology
    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other
    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General

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