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Implications of Quantal Response Statistical Equilibrium

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  • Ellis Scharfenaker

Abstract

This paper explores the foundations and properties of the quantal response statistical equilibrium (QRSE) model developed by Scharfenaker and Foley (2017). The QRSE model provides a behavioral foundation for the formation of aggregate economic outcomes in social systems characterized by negative feedbacks. It can approximate a wide range of commonly encountered theoretical distributions that have been identified as economic statistical equilibrium and displays qualitatively similar behavior to the Subbotin and Asymmetric Subbotin distributions that range from the Laplace to the Normal distribution in the limit. Asymmetry in the frequency distributions of economic outcomes arises from the unfulfilled expectations of entropy- constrained decision makers. This paper demonstrates the logic of the QRSE model in an application to US stock market data dating back to 1926. The model provides a parsimonious explanation for the distribution of rates of return on private equities as well as clear behavioral foundation for asset price fluctuations.

Suggested Citation

  • Ellis Scharfenaker, 2019. "Implications of Quantal Response Statistical Equilibrium," Working Paper Series, Department of Economics, University of Utah 2019_07, University of Utah, Department of Economics.
    • Handle: RePEc:uta:papers:2019_07
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    Cited by:

    1. Benjamin Patrick Evans & Sumitra Ganesh, 2024. "Learning and Calibrating Heterogeneous Bounded Rational Market Behaviour with Multi-Agent Reinforcement Learning," Papers 2402.00787, arXiv.org.
    2. Emanuele Citera, 2021. "Stock Returns, Market Trends, and Information Theory: A Statistical Equilibrium Approach," Working Papers 2116, New School for Social Research, Department of Economics.
    3. Ellis Scharfenaker & Bruno Theodosio & Duncan K. Foley, 2024. "A Statistical Equilibrium Approach to Adam Smith's Labor Theory of Value," Papers 2409.10402, arXiv.org.
    4. Ellis Scharfenaker, 2022. "Statistical Equilibrium Methods In Analytical Political Economy," Journal of Economic Surveys, Wiley Blackwell, vol. 36(2), pages 276-309, April.
    5. Jangho Yang, 2023. "Information‐theoretic model of induced technical change: Theory and empirics," Metroeconomica, Wiley Blackwell, vol. 74(1), pages 2-39, February.
    6. Ellis Scharfenaker, Duncan K. Foley, 2021. "Unfulfilled Expectations and Labor Market Interactions: A Statistical Equilibrium Theory of Unemployment," Working Paper Series, Department of Economics, University of Utah 2021_03, University of Utah, Department of Economics.

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    More about this item

    Keywords

    QRSE; Quantal response; Maximum entropy; Statistical equilibrium; Information theory JEL Classification:C1; C18; C70; D8;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C18 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Methodolical Issues: General
    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

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