IDEAS home Printed from https://ideas.repec.org/p/iim/iimawp/13727.html
   My bibliography  Save this paper

Stochastic Lotka-Volterra equations: A model of lagged diffusion of technology in an interconnected world

Author

Listed:
  • Chakrabarti, Anindya S.

Abstract

We present a model of technological evolution due to interaction between multiple countries and the resultant effects on the corresponding macro variables. The world consists of a set of economies where some countries are leaders and some are followers in the technology ladder. All of them potentially gains from technological breakthroughs. Applying the famous Lotka-Volterra equations to model the evolution of technology frontier, we show that the way technology diffuses creates repercussions in the partner economies. This process captures the spill-over effects on major macro variables seen in the current highly globalized world due to trickle-down effects of technology.

Suggested Citation

  • Chakrabarti, Anindya S., 2015. "Stochastic Lotka-Volterra equations: A model of lagged diffusion of technology in an interconnected world," IIMA Working Papers WP2015-08-05, Indian Institute of Management Ahmedabad, Research and Publication Department.
  • Handle: RePEc:iim:iimawp:13727
    as

    Download full text from publisher

    File URL: https://www.iima.ac.in/sites/default/files/rnpfiles/4339215032015-08-05.pdf
    File Function: English Version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Cogley, Timothy & Nason, James M, 1995. "Output Dynamics in Real-Business-Cycle Models," American Economic Review, American Economic Association, vol. 85(3), pages 492-511, June.
    2. Vega-Redondo,Fernando, 2007. "Complex Social Networks," Cambridge Books, Cambridge University Press, number 9780521857406.
    3. Mantegna,Rosario N. & Stanley,H. Eugene, 2007. "Introduction to Econophysics," Cambridge Books, Cambridge University Press, number 9780521039871.
    4. Sorin Solomon, 2000. "Generalized Lotka-Volterra (GLV) Models of Stock Markets," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 3(01n04), pages 301-322.
    5. Dorogovtsev, S.N. & Mendes, J.F.F., 2003. "Evolution of Networks: From Biological Nets to the Internet and WWW," OUP Catalogue, Oxford University Press, number 9780198515906.
    6. Marco Gallegati & Mauro Gallegati & Wolfgang Polasek, 2004. "Business Cycle Fluctuations in Mediterranean Countries (1960-2000)," Emerging Markets Finance and Trade, Taylor & Francis Journals, vol. 40(6), pages 28-47, November.
    7. Ofer Malcai & Ofer Biham & Peter Richmond & Sorin Solomon, 2002. "Theoretical Analysis and Simulations of the Generalized Lotka-Volterra Model," Papers cond-mat/0208514, arXiv.org.
    8. Xavier Gabaix, 2011. "The Granular Origins of Aggregate Fluctuations," Econometrica, Econometric Society, vol. 79(3), pages 733-772, May.
    9. Stephanie Schmitt-Grohe, 2000. "Endogenous Business Cycles and the Dynamics of Output, Hours, and Consumption," American Economic Review, American Economic Association, vol. 90(5), pages 1136-1159, December.
    10. Sorin Solomon, 1998. "Stochastic Lotka-Volterra Systems of Competing Auto-Catalytic Agents Lead Generically to Truncated Pareto Power Wealth Distribution, Truncated Levy Distribution of Market Returns, Clustered Volatility," Papers cond-mat/9803367, arXiv.org.
    11. T. Di Matteo & T. Aste & M. Gallegati, 2005. "Innovation flow through social networks: productivity distribution in France and Italy," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 47(3), pages 459-466, October.
    12. Angeloni,Ignazio & Kashyap,Anil K. & Mojon,Benoît (ed.), 2003. "Monetary Policy Transmission in the Euro Area," Cambridge Books, Cambridge University Press, number 9780521828642.
    13. Gallegati Marco & Gallegati Mauro, 2007. "Wavelet Variance Analysis of Output in G-7 Countries," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 11(3), pages 1-25, September.
    14. Vega-Redondo,Fernando, 2007. "Complex Social Networks," Cambridge Books, Cambridge University Press, number 9780521674096.
    15. Peter van Els & Alberto Locarno & Benoît Mojon & Julian Morgan, 2003. "New Macroeconomic Evidence on Monetary Policy Transmission in the Euro Area," Journal of the European Economic Association, MIT Press, vol. 1(2-3), pages 720-730, 04/05.
    16. Canning, D. & Amaral, L. A. N. & Lee, Y. & Meyer, M. & Stanley, H. E., 1998. "Scaling the volatility of GDP growth rates," Economics Letters, Elsevier, vol. 60(3), pages 335-341, September.
    17. Sitabhra Sinha, 2010. "Are large complex economic systems unstable ?," Papers 1009.0972, arXiv.org.
    Full references (including those not matched with items on IDEAS)

    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. Chakrabarti, Anindya S., 2016. "Stochastic Lotka–Volterra equations: A model of lagged diffusion of technology in an interconnected world," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 442(C), pages 214-223.
    2. Chakrabarti, Anindya S., 2015. "Dispersion in macroeconomic volatility between the core and periphery of the international trade network," IIMA Working Papers WP2015-08-08, Indian Institute of Management Ahmedabad, Research and Publication Department.
    3. Florian Blöchl & Fabian J. Theis & Fernando Vega-Redondo & Eric O'N. Fisher, 2010. "Which Sectors of a Modern Economy are most Central?," CESifo Working Paper Series 3175, CESifo.
    4. 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.
    5. Anindya S. Chakrabarti & Arnab Chatterjee & Tushar Nandi & Asim Ghosh & Anirban Chakraborti, 2018. "Quantifying invariant features of within-group inequality in consumption across groups," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 13(3), pages 469-490, October.
    6. Domenico Gatti & Edoardo Gaffeo & Mauro Gallegati, 2010. "Complex agent-based macroeconomics: a manifesto for a new paradigm," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 5(2), pages 111-135, December.
    7. Hellmann, Tim & Staudigl, Mathias, 2014. "Evolution of social networks," European Journal of Operational Research, Elsevier, vol. 234(3), pages 583-596.
    8. Sorin Solomon & Nataša Golo, 2015. "Microeconomic structure determines macroeconomic dynamics: Aoki defeats the representative agent," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 10(1), pages 5-30, April.
    9. Luca De Benedictis & Silvia Nenci & Gianluca Santoni & Lucia Tajoli & Claudio Vicarelli, 2014. "Network Analysis of World Trade using the BACI-CEPII Dataset," Global Economy Journal (GEJ), World Scientific Publishing Co. Pte. Ltd., vol. 14(03n04), pages 287-343, October.
    10. , David, 2016. "The formation of networks with local spillovers and limited observability," Theoretical Economics, Econometric Society, vol. 11(3), September.
    11. Vasco Carvalho, 2007. "Aggregate fluctuations and the network structure of intersectoral trade," Economics Working Papers 1206, Department of Economics and Business, Universitat Pompeu Fabra, revised Oct 2010.
    12. James B. Glattfelder & Thomas Bisig & Richard B. Olsen, 2014. "R&D Strategy Document," Papers 1405.6027, arXiv.org.
    13. De Masi, G. & Giovannetti, G. & Ricchiuti, G., 2013. "Network analysis to detect common strategies in Italian foreign direct investment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(5), pages 1202-1214.
    14. Andrea Galeotti & Brian W. Rogers, 2013. "Strategic Immunization and Group Structure," American Economic Journal: Microeconomics, American Economic Association, vol. 5(2), pages 1-32, May.
    15. Gossé, Jean-Baptiste & Guillaumin, Cyriac, 2013. "L’apport de la représentation VAR de Christopher A. Sims à la science économique," L'Actualité Economique, Société Canadienne de Science Economique, vol. 89(4), pages 309-319, Décembre.
    16. Bargigli, Leonardo & Gallegati, Mauro, 2011. "Random digraphs with given expected degree sequences: A model for economic networks," Journal of Economic Behavior & Organization, Elsevier, vol. 78(3), pages 396-411, May.
    17. Nigar Hashimzade & Salvador Ortigueira, 2004. "Endogenous Business Cycle with Search in the Labour Market," Money Macro and Finance (MMF) Research Group Conference 2004 78, Money Macro and Finance Research Group.
    18. Konno, Tomohiko, 2013. "An imperfect competition on scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(21), pages 5453-5460.
    19. Campi, Mercedes & Dueñas, Marco, 2020. "Volatility and economic growth in the twentieth century," Structural Change and Economic Dynamics, Elsevier, vol. 53(C), pages 330-343.
    20. Yi Wen & Huabin Wu, 2011. "Dynamics of externalities: a second-order perspective," Review, Federal Reserve Bank of St. Louis, vol. 93(May), pages 187-206.

    More about this item

    Statistics

    Access and download statistics

    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:iim:iimawp:13727. 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: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/eciimin.html .

    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.