IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v336y2004i1p206-214.html
   My bibliography  Save this article

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

Author

Listed:
  • 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.

Suggested Citation

  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437104000494
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2004.01.026?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Romer, Christina D., 1994. "Remeasuring Business Cycles," The Journal of Economic History, Cambridge University Press, vol. 54(3), pages 573-609, September.
    2. Susanto Basu & Alan M. Taylor, 1999. "Business Cycles in International Historical Perspective," Journal of Economic Perspectives, American Economic Association, vol. 13(2), pages 45-68, Spring.
    3. John Foster, 2000. "Competitive selection, self-organisation and Joseph A. Schumpeter," Journal of Evolutionary Economics, Springer, vol. 10(3), pages 311-328.
    4. Ausloos, Marcel & Clippe, Paulette & Pȩkalski, Andrzej, 2003. "Simple model for the dynamics of correlations in the evolution of economic entities under varying economic conditions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 330-337.
    5. Geoffrey M. Hodgson, 2002. "Darwinism in economics: from analogy to ontology," Journal of Evolutionary Economics, Springer, vol. 12(3), pages 259-281.
    6. Ormerod, Paul & Mounfield, Craig, 2001. "Power law distribution of the duration and magnitude of recessions in capitalist economies: breakdown of scaling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 293(3), pages 573-582.
    7. Weron, Rafal, 2000. "Energy price risk management," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 285(1), pages 127-134.
    8. Long, John B, Jr & Plosser, Charles I, 1983. "Real Business Cycles," Journal of Political Economy, University of Chicago Press, vol. 91(1), pages 39-69, February.
    9. Guha, Debashis & Hiris, Lorene, 2002. "The aggregate credit spread and the business cycle," International Review of Financial Analysis, Elsevier, vol. 11(2), pages 219-227.
    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. 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.

    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. Joseph H. Davis & Christopher Hanes & Paul W. Rhode, 2009. "Harvests and Business Cycles in Nineteenth-Century America," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 124(4), pages 1675-1727.
    2. Ausloos, Marcel & Clippe, Paulette & Pȩkalski, Andrzej, 2003. "Simple model for the dynamics of correlations in the evolution of economic entities under varying economic conditions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 330-337.
    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. Kevin X. D. Huang & Zheng Liu, 2001. "Input-Output Structure and Nominal Staggering: The Persistence Problem Revisited," Cahiers de recherche CREFE / CREFE Working Papers 145, CREFE, Université du Québec à Montréal.
    5. Spree, Reinhard, 2002. "Business Cycles in History," Discussion Papers in Economics 6, University of Munich, Department of Economics.
    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. Thierry Aimar & Francis Bismans & Claude Diebolt, 2012. "Economic Cycles: A Synthesis," Working Papers 12-11, Association Française de Cliométrie (AFC).
    8. Ausloos, M. & Lambiotte, R., 2007. "Clusters or networks of economies? A macroeconomy study through Gross Domestic Product," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(1), pages 16-21.
    9. 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.
    10. Di Guilmi, Corrado & Gaffeo, Edoardo & Gallegati, Mauro, 2004. "Empirical results on the size distribution of business cycle phases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 333(C), pages 325-334.
    11. 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.
    12. Duo Qin, 2010. "Econometric Studies of Business Cycles in the History of Econometrics," Working Papers 669, Queen Mary University of London, School of Economics and Finance.
    13. Gaffeo, Edoardo & Gallegati, Mauro & Giulioni, Gianfranco & Palestrini, Antonio, 2003. "Power laws and macroeconomic fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 408-416.
    14. J.P.G. Reijnders, 2007. "Impulse or propagation? How the tides turned in Business Cycle Theory," Working Papers 07-07, Utrecht School of Economics.
    15. Jürgen Essletzbichler & David L. Rigby, 2010. "Generalized Darwinism and Evolutionary Economic Geography," Chapters, in: Ron Boschma & Ron Martin (ed.), The Handbook of Evolutionary Economic Geography, chapter 2, Edward Elgar Publishing.
    16. Sylvie Geisendorf, 2009. "The economic concept of evolution: self-organization or Universal Darwinism?," Journal of Economic Methodology, Taylor & Francis Journals, vol. 16(4), pages 377-391.
    17. Bénassy, Jean-Pascal, 2002. "Conférence François-Albert Angers (2002)," L'Actualité Economique, Société Canadienne de Science Economique, vol. 78(4), pages 423-457, Décembre.
    18. Mario Coccia, 2010. "Positive and negative stress in business cycle behaviour," CERIS Working Paper 201001, CNR-IRCrES Research Institute on Sustainable Economic Growth - Torino (TO) ITALY - former Institute for Economic Research on Firms and Growth - Moncalieri (TO) ITALY.
    19. Richard Arena, 2017. "Schumpeter and Schumpeterians on competition: some policy implications," Journal of Evolutionary Economics, Springer, vol. 27(1), pages 161-186, January.
    20. Maurizio Bovi, 2003. "Nonparametric Analysis Of The International Business Cycles," ISAE Working Papers 37, ISTAT - Italian National Institute of Statistics - (Rome, ITALY).

    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:eee:phsmap:v:336:y:2004:i:1:p:206-214. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.