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Microscopic study reveals the singular origins of growth

  • Interdisciplinary Physics
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Abstract.

Anderson [Science 177, 293 (1972)] proposed the concept of complexity in order to describe the emergence and growth of macroscopic collective patterns out of the simple interactions of many microscopic agents. In the physical sciences this paradigm was implemented systematically and confirmed repeatedly by successful confrontation with reality. In the social sciences however, the possibilities to stage experiments to validate it are limited. During the 90's a series of dramatic political and economic events have provided the opportunity to do so. We exploit the resulting empirical evidence to validate a simple agent based alternative to the classical logistic dynamics. The post-liberalization empirical data from Poland confirm the theoretical prediction that the dynamics is dominated by singular rare events which insure the resilience and adaptability of the system. We have shown that growth is led by few singular “growth centers" (Fig. 1), that initially developed at a tremendous rate (Fig. 3), followed by a diffusion process to the rest of the country and leading to a positive growth rate uniform across the counties. In addition to the interdisciplinary unifying potential of our generic formal approach, the present work reveals the strong causal ties between the “softer" social conditions and their “hard" economic consequences.

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References

  • P.W. Anderson, Science 177, 293 (1972)

    Article  Google Scholar 

  • T.R. Malthus (J. Johnson, in St Pauls Churchyard, London, 1798), reprinted by Macmillan and Co, 1894

  • P.F. Verhulst, Correspondence Mathematique et Physique 10, 113 (1838)

    Google Scholar 

  • V. Volterra, Variations and Fluctuations of the Number of individuals in animal Species living together (Mc Graw Hill, NY, 1931)

  • R.M. May, Nature 261, 459 (1976)

    Article  ADS  Google Scholar 

  • R. Ross, The prevention of malaria (John Murray, London, 1911)

  • A.J. Lotka, American J. Hygiene 3, 1 (1923)

    Google Scholar 

  • R.A. Fisher, Ann. Eugen. 7, 355 (1937)

    Google Scholar 

  • H. Kesten, Random Processes in Random Environments (Springer Verlag, Heidelberg, 1980)

  • D. Ben-Avraham, S. Havlin, Diffusion and Reactions in Fractals and Disordered Systems (Cambridge University Press, Cambridge, England, 2000)

  • P. Grassberger, Z. Phys. B Condens. Matter 47, 365 (1982)

    Article  ADS  MathSciNet  Google Scholar 

  • H.K. Janssen, Z. Phys. B Condens. Matter 42, 151 (1981)

    Article  ADS  Google Scholar 

  • J.L. Cardy, U. Tauber, Phys. Rev. Lett. 77, 4780 (1981)

    Article  ADS  Google Scholar 

  • M. Eigen, Naturwissenschaften 58, 465 (1971)

    Article  ADS  Google Scholar 

  • M. Eigen, P. Schuster, The Hypercycle (Springer, Berlin Heidelberg New York, 1979)

  • E.W. Montroll, Proc. Natl. Acad. Sci. USA 75, 4633 (1978)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  • J. Schumpeter, The theory of economic development (Harvard Univ Press, Cambridge, 1934)

  • R.R. Nelson, S.G. Winter, An Evolutionary Theory of Economic Change (Harvard Univ Press, Cambridge, 1982)

  • W. Ebeling, R. Feistel, Physik der Selbstorganisation und Evolution (Akademie-Verlag, Berlin, 1982)

  • M.A. Jiménez-Montano, W. Ebeling, Collective Phenomena 3, 107 (1980)

    Google Scholar 

  • M. Marsili, S. Maslov, Y.C. Zhang, Physica A 253, 403 (1998)

    Article  Google Scholar 

  • N.M. Shnerb, Y. Louzoun, E. Bettelheim, S. Solomon, Proc. Nat. Acad. Sci. USA 97, 10322 (2000)

    Article  ADS  MATH  Google Scholar 

  • N.M. Shnerb, E. Bettelheim, Y. Louzoun, O. Agam, S. Solomon, Phys. Rev. E 63, 21103 (2001)

    Article  ADS  Google Scholar 

  • J.B.J. Rosser, M.V. Rosser, Eastern Economic J. 30(2), 207 (2004)

    Google Scholar 

  • J.H.V. Thünen, The Isolated State (Gustav Fisher, Stuttgart, 1826), translation by Wartenburg, C.M. (Oxford University Press, Oxford, 1966)

  • A. Weber (Tübingen, 1909), translated by C.J. Friedrich, as Theory of the Location of Industries (University of Chicago Press, Chicago, 1929)

  • B. Arthur, Increasing Returns and Path Dependence in the Economy (University of Michigan Press, Michigan, 1994)

  • A. Nowak, M. Kus, J. Urbaniak, T. Zarycki, Physica A 297, 613 (2002)

    Google Scholar 

  • A. Nowak, L. Zienkowski, K. Urbaniak, Res. Bull. RCFESS 3, 43 (1994)

    ADS  Google Scholar 

  • J.C. Brada, A.E. King, Economics of Planning 25, 37 (1992)

    Google Scholar 

  • P. Aghion, O.J. Blanchard, NBER Macroeconomics Annual 9, 283 (1994)

    Article  Google Scholar 

  • M. Levy, H. Levy, S. Solomon, Microscopic Simulation of Financial Markets: From Investor Behavior to Market phenomena (Academic Press, New York, 2000)

  • J.B.J. Rosser, M.V. Rosser, Rev. Political Economy 9, 211 (1997)

    Article  Google Scholar 

  • Y. Louzoun, S. Solomon, H. Atlan, I.R. Cohen, Bull. Mathematical Biology 65, 375 (2003)

    Article  Google Scholar 

  • Y. Louzoun, S. Solomon, H. Atlan, I.R. Cohen, Physica A 297, 242 (2001)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  • Y. Louzoun, S. Solomon, J. Goldenberg, D. Mazursky, Artificial Life 9, 357 (2003)

    Article  Google Scholar 

  • J. Goldenberg, Y. Shavit, E. Shir, S. Solomon, Nature Physics 1, 184 (2005)

    Article  ADS  Google Scholar 

  • Y. Louzoun, N.M. Shnerb, S. Solomon, Eur. Phys. J. B 56, 141 (2007)

    Article  ADS  Google Scholar 

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Correspondence to G. Yaari.

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Yaari, G., Nowak, A., Rakocy, K. et al. Microscopic study reveals the singular origins of growth. Eur. Phys. J. B 62, 505–513 (2008). https://doi.org/10.1140/epjb/e2008-00189-6

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  • DOI: https://doi.org/10.1140/epjb/e2008-00189-6

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