IDEAS home Printed from https://ideas.repec.org/p/zbw/ifwedp/7453.html
   My bibliography  Save this paper

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
    as

    Download full text from publisher

    File URL: http://www.economics-ejournal.org/economics/discussionpapers/2008-36
    Download Restriction: no
    File URL: https://www.econstor.eu/bitstream/10419/27472/1/dp2008-36.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

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

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Popoyan, Lilit & Napoletano, Mauro & Roventini, Andrea, 2017. "Taming macroeconomic instability: Monetary and macro-prudential policy interactions in an agent-based model," Journal of Economic Behavior & Organization, Elsevier, vol. 134(C), pages 117-140.
    2. Luca Riccetti & Alberto Russo & Mauro Gallegati, 2015. "An agent based decentralized matching macroeconomic model," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 10(2), pages 305-332, October.
    3. repec:hal:spmain:info:hdl:2441/5bnglqth5987gaq6dhju3psjn3 is not listed on IDEAS
    4. Francesco Lamperti & Antoine Mandel & Mauro Napoletano & Alessandro Sapio & Andrea Roventini & Tomas Balint & Igor Khorenzhenko, 2017. "Taming macroeconomic instability," SciencePo Working papers Main hal-03399574, HAL.
    5. Tedeschi, Gabriele & Recchioni, Maria Cristina & Berardi, Simone, 2019. "An approach to identifying micro behavior: How banks’ strategies influence financial cycles," Journal of Economic Behavior & Organization, Elsevier, vol. 162(C), pages 329-346.
    6. Delli Gatti, Domenico & Gallegati, Mauro & Greenwald, Bruce & Russo, Alberto & Stiglitz, Joseph E., 2006. "Business fluctuations in a credit-network economy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(1), pages 68-74.
    7. Otto, Christian & Willner, Sven Norman & Wenz, Leonie & Frieler, Katja & Levermann, Anders, 2017. "Modeling loss-propagation in the global supply network: The dynamic agent-based model acclimate," OSF Preprints 7yyhd, Center for Open Science.
    8. Dosi, Giovanni & Fagiolo, Giorgio & Napoletano, Mauro & Roventini, Andrea & Treibich, Tania, 2015. "Fiscal and monetary policies in complex evolving economies," Journal of Economic Dynamics and Control, Elsevier, vol. 52(C), pages 166-189.
    9. Mauro Napoletano, 2018. "A Short Walk on the Wild Side: Agent-Based Models and their Implications for Macroeconomic Analysis," Revue de l'OFCE, Presses de Sciences-Po, vol. 0(3), pages 257-281.
    10. Silvano Cincotti & Wolfram Elsner & Nathalie Lazaric & Anastasia Nesvetailova & Engelbert Stockhammer, 2020. "Towards an evolutionary political economy. Editorial to the inaugural issue of the Review of Evolutionary Political Economy REPE," Review of Evolutionary Political Economy, Springer, vol. 1(1), pages 1-12, May.
    11. Grazzini, Jakob & Richiardi, Matteo, 2015. "Estimation of ergodic agent-based models by simulated minimum distance," Journal of Economic Dynamics and Control, Elsevier, vol. 51(C), pages 148-165.
    12. Oldham, Matthew, 2020. "Quantifying the concerns of Dimon and Buffett with data and computation," Journal of Economic Dynamics and Control, Elsevier, vol. 113(C).
    13. Dosi, Giovanni & Fagiolo, Giorgio & Napoletano, Mauro & Roventini, Andrea, 2013. "Income distribution, credit and fiscal policies in an agent-based Keynesian model," Journal of Economic Dynamics and Control, Elsevier, vol. 37(8), pages 1598-1625.
    14. Eugenio Caverzasi & Alberto Russo, 2018. "Toward a new microfounded macroeconomics in the wake of the crisis," Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 27(6), pages 999-1014.
    15. Giorgio Fagiolo & Paul Windrum & Alessio Moneta, 2006. "Empirical Validation of Agent Based Models: A Critical Survey," LEM Papers Series 2006/14, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    16. Teglio, Andrea, 2020. "On the typicality of the representative agent," MPRA Paper 105407, University Library of Munich, Germany.
    17. Giovanni Dosi, 2012. "Economic Coordination and Dynamics: Some Elements of an Alternative "Evolutionary" Paradigm," LEM Papers Series 2012/08, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    18. Giorgio Fagiolo & Andrea Roventini, 2017. "Macroeconomic Policy in DSGE and Agent-Based Models Redux: New Developments and Challenges Ahead," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 20(1), pages 1-1.
    19. repec:spo:wpecon:info:hdl:2441/eu4vqp9ompqllr09j0h130d0n is not listed on IDEAS
    20. Jean-Luc Gaffard & Mauro Napoletano, 2018. "Market disequilibrium, monetary policy, and financial markets: insights from new tools," LEM Papers Series 2018/17, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    21. Jean-Luc Gaffard & Mauro Napoletano, 2018. "Hétérogénéité des agents, interconnexions financières et politique monétaire : une approche non conventionnelle," Revue française d'économie, Presses de Sciences-Po, vol. 0(3), pages 201-231.
    22. De Grauwe, Paul & Ji, Yuemei, 2017. "Structural Reforms and Monetary Policies in a Behavioural Macroeconomic Model," CEPR Discussion Papers 12336, C.E.P.R. Discussion Papers.

    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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:zbw:ifwedp:7453. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ZBW - Leibniz Information Centre for Economics (email available below). General contact details of provider: https://edirc.repec.org/data/iwkiede.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.