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Imitation, Proximity, And Growth — A Collective Swarm Dynamics Approach

Author

Listed:
  • OLIVIER GALLAY

    (Faculty of Business and Economics (HEC Lausanne), University of Lausanne, Department of Operations, Quartier UNIL-Chamberonne, CH-1015 Lausanne, Switzerland)

  • FARIBA HASHEMI

    (#x2020;Chair of Entrepreneurial Risks, ETH Zurich (ETHZ), Department of Management, Technology, and Economics, Scheuchzerstrasse 7, CH-8092 Zurich, Switzerland‡Unit for Bioentrepreneurship, Karolinska Institute, Department of LIME, 171 77 Stockholm, Sweden)

  • MAX-OLIVIER HONGLER

    (#xA7;Microengineering Institute EPFL, School of Engineering (STI), Station 17, CH-1015 Lausanne, Switzerland)

Abstract

This paper is based on the premise that economic growth is driven by an interplay between innovation and imitation in an economy composed of interacting firms operating in a stochastic environment. A novel approach to modeling imitation is presented based on range-dependent processes that describe how firms consider proximity when imitating peers who are found in a given neighborhood in terms of productivity. Using a particularly tractable approach, we are able to analyze how drastically different economic growth scenarios emerge from different imitation strategies. These emerging scenarios range from diffusive growth where the variance of productivity grows indefinitely, to balanced growth described by a traveling wave with fixed variance. The latter scenario is sustained only when imitation strength among firms exceeds a critical bifurcation threshold.

Suggested Citation

  • Olivier Gallay & Fariba Hashemi & Max-Olivier Hongler, 2019. "Imitation, Proximity, And Growth — A Collective Swarm Dynamics Approach," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 22(05), pages 1-43, August.
    • Handle: RePEc:wsi:acsxxx:v:22:y:2019:i:05:n:s0219525919500115
    DOI: 10.1142/S0219525919500115
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    References listed on IDEAS

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    1. Philippe Aghion & Diego Comin & Peter Howitt & Isabel Tecu, 2016. "When Does Domestic Savings Matter for Economic Growth?," IMF Economic Review, Palgrave Macmillan;International Monetary Fund, vol. 64(3), pages 381-407, August.
    2. , & Lorenz, Jan & ,, 2016. "Innovation vs. imitation and the evolution of productivity distributions," Theoretical Economics, Econometric Society, vol. 11(3), September.
    3. Jennifer F. Reinganum, 1985. "Innovation and Industry Evolution," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 100(1), pages 81-99.
    4. Henkin, Gennadi M. & Polterovich, Victor M., 1991. "Schumpeterian dynamics as a non-linear wave theory," Journal of Mathematical Economics, Elsevier, vol. 20(6), pages 551-590.
    5. Aghion, Philippe & Howitt, Peter, 1992. "A Model of Growth through Creative Destruction," Econometrica, Econometric Society, vol. 60(2), pages 323-351, March.
    6. Robert E. Lucas Jr. & Benjamin Moll, 2014. "Knowledge Growth and the Allocation of Time," Journal of Political Economy, University of Chicago Press, vol. 122(1), pages 1-51.
    7. Gene M. Grossman & Elhanan Helpman, 1991. "Quality Ladders in the Theory of Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(1), pages 43-61.
    8. Olivier Guéant & Pierre Louis Lions & Jean-Michel Lasry, 2011. "Mean Field Games and Applications," Post-Print hal-01393103, HAL.
    9. Robert E. Lucas, 2009. "Ideas and Growth," Economica, London School of Economics and Political Science, vol. 76(301), pages 1-19, February.
    10. Jess Benhabib & Jesse Perla & Christopher Tonetti, 2021. "Reconciling Models of Diffusion and Innovation: A Theory of the Productivity Distribution and Technology Frontier," Econometrica, Econometric Society, vol. 89(5), pages 2261-2301, September.
    11. Philippe Aghion & Peter Howitt, 2009. "The Economics of Growth," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262012634, December.
    12. Peter C. B. Phillips & Donggyu Sul, 2009. "Economic transition and growth," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 24(7), pages 1153-1185.
    13. Tomoyuki Ichiba & Vassilios Papathanakos & Adrian Banner & Ioannis Karatzas & Robert Fernholz, 2009. "Hybrid Atlas models," Papers 0909.0065, arXiv.org, revised Apr 2011.
    14. Jess Benhabib & Jesse Perla & Christopher Tonetti, 2014. "Catch-up and fall-back through innovation and imitation," Journal of Economic Growth, Springer, vol. 19(1), pages 1-35, March.
    15. Erzo G. J. Luttmer, 2007. "Selection, Growth, and the Size Distribution of Firms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 122(3), pages 1103-1144.
    16. repec:dau:papers:123456789/3001 is not listed on IDEAS
    17. Iwai, Katsuhito, 2000. "A contribution to the evolutionary theory of innovation, imitation and growth," Journal of Economic Behavior & Organization, Elsevier, vol. 43(2), pages 167-198, October.
    18. Iwai, Katsuhito, 1984. "Schumpeterian dynamics : An evolutionary model of innovation and imitation," Journal of Economic Behavior & Organization, Elsevier, vol. 5(2), pages 159-190, June.
    19. Staley, Mark, 2011. "Growth and the diffusion of ideas," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 470-478.
    20. P. Cardaliaguet, 2013. "Long Time Average of First Order Mean Field Games and Weak KAM Theory," Dynamic Games and Applications, Springer, vol. 3(4), pages 473-488, December.
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