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A (reactive) lattice-gas approach to economic cycles

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  • Marcel Ausloos
  • Paulette Clippe
  • Janusz Mi'skiewicz
  • Andrzej Pekalski

Abstract

A microscopic approach to macroeconomic features is intended. A model for macroeconomic behavior under heterogeneous spatial economic conditions is reviewed. A birth-death lattice gas model taking into account the influence of an economic environment on the fitness and concentration evolution of economic entities is numerically and analytically examined. The reaction-diffusion model can be also mapped onto a high order logistic map. The role of the selection pressure along various dynamics with entity diffusion on a square symmetry lattice has been studied by Monte-Carlo simulation. The model leads to a sort of phase transition for the fitness gap as a function of the selection pressure and to cycles. The control parameter is a (scalar) ''business plan''. The business plan(s) allows for spin-offs or merging and enterprise survival evolution law(s), whence bifurcations, cycles and chaotic behavior.

Suggested Citation

  • Marcel Ausloos & Paulette Clippe & Janusz Mi'skiewicz & Andrzej Pekalski, 2004. "A (reactive) lattice-gas approach to economic cycles," Papers cond-mat/0402075, arXiv.org.
  • Handle: RePEc:arx:papers:cond-mat/0402075
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    14. Ausloos, Marcel & Clippe, Paulette & Pȩkalski, Andrzej, 2004. "Evolution of economic entities under heterogeneous political/environmental conditions within a Bak–Sneppen-like dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 332(C), pages 394-402.
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    Cited by:

    1. Marcel Ausloos, 2014. "A biased view of a few possible components when reflecting on the present decade financial and economic crisis," Papers 1412.0127, arXiv.org.
    2. Miśkiewicz, Janusz & Ausloos, M., 2007. "Delayed information flow effect in economy systems. An ACP model study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(1), pages 179-186.
    3. Stavros Drakopoulos & Ioannis Katselidis, 2015. "From Edgeworth to econophysics: a methodological perspective," Journal of Economic Methodology, Taylor & Francis Journals, vol. 22(1), pages 77-95, March.
    4. Redelico, Francisco O. & Proto, Araceli N. & Ausloos, Marcel, 2008. "Power law for the duration of recession and prosperity in Latin American countries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(25), pages 6330-6336.
    5. Marcel Ausloos & Herbert Dawid & Ugo Merlone, 2015. "Spatial Interactions in Agent-Based Modeling," Dynamic Modeling and Econometrics in Economics and Finance, in: Pasquale Commendatore & Saime Kayam & Ingrid Kubin (ed.), Complexity and Geographical Economics, edition 127, pages 353-377, Springer.
    6. Miśkiewicz, Janusz, 2012. "Economy with the time delay of information flow—The stock market case," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1388-1394.

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