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Economic dynamics with financial fragility and mean-field interaction: a model

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  • Corrado Di Guilmi
  • Mauro Gallegati
  • Simone Landini

Abstract

Following the statistical mechanics methodology, firstly introduced in macroeconomics by Aoki [1996,2002], we provide some insights to the well known works of Greenwald and Stiglitz [1990, 1993]. Specifically, we reach analytically a closed form solution of their models overcoming the aggregation problem. The key idea is to represent the economy as an evolving complex system, composed by heterogeneous interacting agents, that can partitioned into a space of macroscopic states. This meso level of aggregation permits to adopt mean field interaction modeling and master equation techniques.

Suggested Citation

  • Corrado Di Guilmi & Mauro Gallegati & Simone Landini, 2007. "Economic dynamics with financial fragility and mean-field interaction: a model," Papers 0709.2083, arXiv.org.
  • Handle: RePEc:arx:papers:0709.2083
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    1. Bruce C. Greenwald & Joseph E. Stiglitz, 1990. "Macroeconomic Models with Equity and Credit Rationing," NBER Chapters,in: Asymmetric Information, Corporate Finance, and Investment, pages 15-42 National Bureau of Economic Research, Inc.
    2. Bruce C. Greenwald & Joseph E. Stiglitz, 1993. "Financial Market Imperfections and Business Cycles," The Quarterly Journal of Economics, Oxford University Press, vol. 108(1), pages 77-114.
    3. Edward I. Altman, 1968. "Financial Ratios, Discriminant Analysis And The Prediction Of Corporate Bankruptcy," Journal of Finance, American Finance Association, vol. 23(4), pages 589-609, September.
    4. Greenwald, Bruce & Stiglitz, Joseph E & Weiss, Andrew, 1984. "Informational Imperfections in the Capital Market and Macroeconomic Fluctuations," American Economic Review, American Economic Association, vol. 74(2), pages 194-199, May.
    5. Christopher A. Hennessy & Toni M. Whited, 2007. "How Costly Is External Financing? Evidence from a Structural Estimation," Journal of Finance, American Finance Association, vol. 62(4), pages 1705-1745, August.
    6. Oliver Hart & John Moore, 1998. "Default and Renegotiation: A Dynamic Model of Debt," The Quarterly Journal of Economics, Oxford University Press, vol. 113(1), pages 1-41.
    7. 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.
    8. M. S. de la Lama & I. G. Szendro & J. R. Iglesias & H. S. Wio, 2006. "Van Kampen's expansion approach in an opinion formation model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 51(3), pages 435-442, June.
    9. Hinich, Melvin J. & Foster, John & Wild, Phillip, 2006. "Structural change in macroeconomic time series: A complex systems perspective," Journal of Macroeconomics, Elsevier, vol. 28(1), pages 136-150, March.
    10. Stiglitz, Joseph E & Weiss, Andrew, 1981. "Credit Rationing in Markets with Imperfect Information," American Economic Review, American Economic Association, vol. 71(3), pages 393-410, June.
    11. M. Gallegati & A. Palestrini & D. Gatti & E. Scalas, 2006. "Aggregation of Heterogeneous Interacting Agents: The Variant Representative Agent Framework," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 1(1), pages 5-19, May.
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    Cited by:

    1. Gualdi, Stanislao & Tarzia, Marco & Zamponi, Francesco & Bouchaud, Jean-Philippe, 2015. "Tipping points in macroeconomic agent-based models," Journal of Economic Dynamics and Control, Elsevier, vol. 50(C), pages 29-61.
    2. Tohmé, Fernando & Larrosa, Juan M.C., 2016. "Architectures engender crises: The emergence of power laws in social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 450(C), pages 305-316.

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