IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v365y2006i2p499-508.html
   My bibliography  Save this article

Symbiosis in the Bak–Sneppen model for biological evolution with economic applications

Author

Listed:
  • Bartolozzi, M.
  • Leinweber, D.B.
  • Thomas, A.W.

Abstract

In the present work we extend the Bak–Sneppen model for biological evolution by introducing local interactions between species. This “environmental” perturbation modifies the intrinsic fitness of each element of the ecology, leading to higher survival probability, even for the less fit. While the system still self-organizes toward a critical state, the distribution of fitness broadens, losing the classical step-function shape. A possible application in economics is discussed, where firms are represented as evolving species linked by mutual interests.

Suggested Citation

  • Bartolozzi, M. & Leinweber, D.B. & Thomas, A.W., 2006. "Symbiosis in the Bak–Sneppen model for biological evolution with economic applications," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 365(2), pages 499-508.
    • Handle: RePEc:eee:phsmap:v:365:y:2006:i:2:p:499-508
    DOI: 10.1016/j.physa.2005.09.061
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437105010381
    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.2005.09.061?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. Bak, Per & Chen, Kan & Scheinkman, Jose & Woodford, Michael, 1993. "Aggregate fluctuations from independent sectoral shocks: self-organized criticality in a model of production and inventory dynamics," Ricerche Economiche, Elsevier, vol. 47(1), pages 3-30, March.
    2. Bak, P. & Paczuski, M. & Shubik, M., 1997. "Price variations in a stock market with many agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 246(3), pages 430-453.
    3. 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.
    4. Gaffeo, Edoardo & Gallegati, Mauro & Palestrini, Antonio, 2003. "On the size distribution of firms: additional evidence from the G7 countries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 117-123.
    5. Gianaurelio Cuniberti & Angelo Valleriani & Jos� Luis Vega, 2001. "Effects of regulation on a self-organized market," Quantitative Finance, Taylor & Francis Journals, vol. 1(3), pages 332-335, March.
    6. Bartolozzi, M. & Leinweber, D.B. & Thomas, A.W., 2005. "Self-organized criticality and stock market dynamics: an empirical study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 350(2), pages 451-465.
    7. Takuya Yamano, 2001. "Regulation Effects On Market With Bak–Sneppen Model In High Dimensions," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 12(09), pages 1329-1333.
    8. N. Vandewalle & F. Brisbois & X. Tordoir, 2001. "Non-random topology of stock markets," Quantitative Finance, Taylor & Francis Journals, vol. 1(3), pages 372-374, March.
    9. Nagel, Kai & Herrmann, Hans J., 1993. "Deterministic models for traffic jams," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 199(2), pages 254-269.
    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. Dupoyet, B. & Fiebig, H.R. & Musgrove, D.P., 2011. "Replicating financial market dynamics with a simple self-organized critical lattice model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(18), pages 3120-3135.
    2. B. Dupoyet & H. R. Fiebig & D. P. Musgrove, 2010. "Replicating financial market dynamics with a simple self-organized critical lattice model," Papers 1010.4831, arXiv.org.

    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. Joshua M. Epstein, 2007. "Agent-Based Computational Models and Generative Social Science," Introductory Chapters, in: Generative Social Science Studies in Agent-Based Computational Modeling, Princeton University Press.
    2. Rama Cont & Jean-Philippe Bouchaud, 1997. "Herd behavior and aggregate fluctuations in financial markets," Science & Finance (CFM) working paper archive 500028, Science & Finance, Capital Fund Management.
    3. Jovanovic, Franck & Schinckus, Christophe, 2017. "Econophysics and Financial Economics: An Emerging Dialogue," OUP Catalogue, Oxford University Press, number 9780190205034.
    4. 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.
    5. Makoto Nirei & Tsutomu Watanabe, 2014. "Beauty Contests and Fat Tails in Financial Markets," UTokyo Price Project Working Paper Series 024, University of Tokyo, Graduate School of Economics.
    6. Rama Cont & Jean-Philippe Bouchaud, 1997. "Herd behavior and aggregate fluctuations in financial markets," Papers cond-mat/9712318, arXiv.org, revised Jan 1998.
    7. Dupoyet, B. & Fiebig, H.R. & Musgrove, D.P., 2011. "Replicating financial market dynamics with a simple self-organized critical lattice model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(18), pages 3120-3135.
    8. Domenico Delli Gatti & Mauro Gallegati & Bruce Greenwald & Alberto Russo & Joseph Stiglitz, 2009. "Business fluctuations and bankruptcy avalanches in an evolving network economy," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 4(2), pages 195-212, November.
    9. Rama CONT & Jean-Philippe BOUCHAUD, 1997. "Herd behavior and aggregate fluctuations in financial markets," Finance 9712008, University Library of Munich, Germany, revised 06 Jan 1998.
    10. B. Dupoyet & H. R. Fiebig & D. P. Musgrove, 2010. "Replicating financial market dynamics with a simple self-organized critical lattice model," Papers 1010.4831, arXiv.org.
    11. N. Bagatella-Flores & M. Rodriguez-Achach & H. F. Coronel-Brizio & A. R. Hernandez-Montoya, 2014. "Wealth distribution of simple exchange models coupled with extremal dynamics," Papers 1407.7153, arXiv.org.
    12. Domenico Delli Gatti & Mauro Gallegati & Bruce C. Greenwald & Alberto Russo & Joseph E. Stiglitz, 2008. "Financially Constrained Fluctuations in an Evolving Network Economy," NBER Working Papers 14112, National Bureau of Economic Research, Inc.
    13. Łukasz Bil & Dariusz Grech & Magdalena Zienowicz, 2017. "Asymmetry of price returns—Analysis and perspectives from a non-extensive statistical physics point of view," PLOS ONE, Public Library of Science, vol. 12(11), pages 1-24, November.
    14. Lu, Di & Du, Shuming, 2007. "Regulating economic systems in a multi-trait model of self-organized criticality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 373(C), pages 586-592.
    15. Goldbaum, David, 2006. "Self-organization and the persistence of noise in financial markets," Journal of Economic Dynamics and Control, Elsevier, vol. 30(9-10), pages 1837-1855.
    16. Bagatella-Flores, N. & Rodríguez-Achach, M. & Coronel-Brizio, H.F. & Hernández-Montoya, A.R., 2015. "Wealth distribution of simple exchange models coupled with extremal dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 417(C), pages 168-175.
    17. Gatti, Domenico Delli & Di Guilmi, Corrado & Gallegati, Mauro & Giulioni, Gianfranco, 2007. "Financial Fragility, Industrial Dynamics, And Business Fluctuations In An Agent-Based Model," Macroeconomic Dynamics, Cambridge University Press, vol. 11(S1), pages 62-79, November.
    18. Jakob Grazzini & Domenico Massaro, 2016. "Dispersed Information and the Origins of Aggregate Fluctuations," CESifo Working Paper Series 5957, CESifo.
    19. Fraiman, Daniel, 2022. "A self-organized criticality participative pricing mechanism for selling zero-marginal cost products," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    20. Bell, William Paul, 2009. "Adaptive interactive expectations: dynamically modelling profit expectations," MPRA Paper 38260, University Library of Munich, Germany, revised 09 Feb 2010.

    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:365:y:2006:i:2:p:499-508. 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.