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A logistic map approach to economic cycles. (I). The best adapted companies

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  • Miśkiewicz, J.
  • Ausloos, M.

Abstract

A birth–death lattice gas model about the influence of an environment on the fitness and concentration evolution of economic entities is analytically examined. The model can be mapped onto a high-order logistic map. The control parameter is a (scalar) “business plan”. Conditions are searched for growth and decay processes, stable states, upper and lower bounds, bifurcations, periodic and chaotic solutions. The evolution equation of the economic population for the best fitted companies indicates “microscopic conditions” for cycling. The evolution of a dynamic exponent is shown as a function of the business plan parameters.

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  • Miśkiewicz, J. & Ausloos, M., 2004. "A logistic map approach to economic cycles. (I). The best adapted companies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 336(1), pages 206-214.
    • Handle: RePEc:eee:phsmap:v:336:y:2004:i:1:p:206-214
    DOI: 10.1016/j.physa.2004.01.026
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    References listed on IDEAS

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    Cited by:

    1. Tadas Telksnys & Zenonas Navickas & Martynas Vaidelys & Minvydas Ragulskis, 2016. "The Order Of A 2-Sequence And The Complexity Of Digital Images," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 19(04n05), pages 1-25, June.
    2. Ausloos, M & Clippe, P & Pekalski, A, 2004. "Model of macroeconomic evolution in stable regionally dependent economic fields," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 337(1), pages 269-287.
    3. Ausloos, Marcel & Miśkiewicz, Janusz & Sanglier, Michèle, 2004. "The durations of recession and prosperity: does their distribution follow a power or an exponential law?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 339(3), pages 548-558.
    4. Marian Gidea & Yuri Katz, 2017. "Topological Data Analysis of Financial Time Series: Landscapes of Crashes," Papers 1703.04385, arXiv.org, revised Apr 2017.
    5. Ausloos, Marcel & Clippe, Paulette & Miśkiewicz, Janusz & Pe¸kalski, Andrzej, 2004. "A (reactive) lattice-gas approach to economic cycles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 344(1), pages 1-7.
    6. 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.
    7. 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.
    8. 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.
    9. Valentina V. Tarasova & Vasily E. Tarasov, 2017. "Logistic map with memory from economic model," Papers 1712.09092, arXiv.org.
    10. Tarasova, Valentina V. & Tarasov, Vasily E., 2017. "Logistic map with memory from economic model," Chaos, Solitons & Fractals, Elsevier, vol. 95(C), pages 84-91.
    11. 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.

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