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Modeling Maximum Entropy and Mean-Field Interaction in Macroeconomics

Author

Listed:
  • Di Guilmi, Corrado
  • Gallegati, Mauro
  • Landini, Simone

Abstract

The representation of the economic system, from a complexity perspective, focuses on interactions among heterogeneous agents in conditions of uncertainty. Heterogeneity entails asymmetric reactions to shocks and, through interaction mechanisms and feedback loops at micro, macro and meso level, these diverse reactions influence behaviours of other agents. Such a system cannot be modelled with mainstream economics' tools. In this work we propose a stochastic dynamic model with heterogeneous firms. Their responses to stochastic shocks, in order to maximize profit, modifies their financial ratios, determining in this way the evolution of the system. The model is analytically solved by means of maximum entropy maximization and master equation's solution techniques (Aoki and Yoshikawa, 2006).

Suggested Citation

  • Di Guilmi, Corrado & Gallegati, Mauro & Landini, Simone, 2008. "Modeling Maximum Entropy and Mean-Field Interaction in Macroeconomics," Economics Discussion Papers 2008-36, Kiel Institute for the World Economy (IfW Kiel).
    • Handle: RePEc:zbw:ifwedp:7453
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    References listed on IDEAS

    as
    1. Alan P. Kirman, 1992. "Whom or What Does the Representative Individual Represent?," Journal of Economic Perspectives, American Economic Association, vol. 6(2), pages 117-136, Spring.
    2. Gatti, Domenico Delli & Guilmi, Corrado Di & Gaffeo, Edoardo & Giulioni, Gianfranco & Gallegati, Mauro & Palestrini, Antonio, 2005. "A new approach to business fluctuations: heterogeneous interacting agents, scaling laws and financial fragility," Journal of Economic Behavior & Organization, Elsevier, vol. 56(4), pages 489-512, April.
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    Cited by:

    1. Sander van der Hoog, 2017. "Deep Learning in (and of) Agent-Based Models: A Prospectus," Papers 1706.06302, arXiv.org.

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    More about this item

    Keywords

    Business cycles; heterogeneity; financial fragility; stochastic aggregation;
    All these keywords.

    JEL classification:

    • E6 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook
    • E1 - Macroeconomics and Monetary Economics - - General Aggregative Models

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