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

  • Di Guilmi, C.
  • Gallegati, M.
  • Landini, S.

Following Aoki’s statistical mechanics methodology [Masanao Aoki, New Approaches to Macroeconomic Modeling, Cambridge University Press, 1996; Masanao Aoki, Modeling Aggregate Behaviour and Fluctuations in Economics, Cambridge University Press, 2002; Masanao Aoki, and Hiroshi Yoshikawa, Reconstructing Macroeconomics, Cambridge University Press, 2006], we provide some insights into the well-known works of [Bruce Greenwald, Joseph Stiglitz, Macroeconomic models with equity and credit rationing, in: R. Hubbard (Ed.), Information, Capital Markets and Investment, Chicago University Press, Chicago, 1990; Bruce Greenwald, Joseph Stiglitz, Financial markets imperfections and business cycles, Quarterly journal of Economics (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 be partitioned into a space of macroscopic states. This meso level of aggregation permits to adopt mean-field interaction modeling and master equation techniques.

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Article provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.

Volume (Year): 387 (2008)
Issue (Month): 15 ()
Pages: 3852-3861

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Handle: RePEc:eee:phsmap:v:387:y:2008:i:15:p:3852-3861
Contact details of provider: Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/

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  1. Bruce C. Greenwald & Joseph E. Stiglitz, 1988. "Financial Market Imperfections and Business Cycles," NBER Working Papers 2494, National Bureau of Economic Research, Inc.
  2. Bruce C. Greenwald & Joseph E. Stiglitz, 1990. "Macroeconomic Models with Equity and Credit Rationing," NBER Working Papers 3533, National Bureau of Economic Research, Inc.
  3. 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.
  4. 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, vol. 1(1), pages 5-19, May.
  5. Oliver Hart & John Moore, 1998. "Default And Renegotiation: A Dynamic Model Of Debt," The Quarterly Journal of Economics, MIT Press, vol. 113(1), pages 1-41, February.
  6. 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.
  7. 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, 09.
  8. 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.
  9. 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, vol. 51(3), pages 435-442, 06.
  10. Bruce C. Greenwald & Joseph E. Stiglitz & Andrew Weiss, 1984. "Informational Imperfections in the Capital Market and Macro-Economic Fluctuations," NBER Working Papers 1335, National Bureau of Economic Research, Inc.
  11. 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, 08.
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