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Uncertainty and economic growth in a stochastic R&D model

Wu, F. and Mao, X. and Yin, J. (2008) Uncertainty and economic growth in a stochastic R&D model. Economic Modelling, 25 (6). pp. 1306-1317. ISSN 0264-9993

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    Abstract

    The paper examines an R&D model with uncertainty from the population growth, which is a stochastic cooperative Lotka-Volterra system, and obtains a suciently condition for the existence of the globally positive solution. The long-run growth rate of the economic system is ultimately bounded in mean and fluctuation of its growth will not be faster than the polynomial growth. When uncertainty of the population growth, in comparison with its expectation, is suciently large, the growth rate of the technological progress and the capital accumulation will converge to zero. Inversely, when uncertainty of the population growth is suciently small or its expected growth rate is suciently high, the economic growth rate will not decay faster than the polyno- mial speed. The paper explicitly computes the sample average of the growth rates of both the technology and the capital accumulation in time and compares them with their counterparts in the corresponding deterministic model.

    Item type: Article
    ID code: 13887
    Keywords: volterra system, brownian motion, R&D model, polynomial growth, stochastic differential equation, Ito formula, Mathematics
    Subjects: Science > Mathematics
    Department: Faculty of Science > Mathematics and Statistics
    Related URLs:
      Depositing user: Mrs Carolynne Westwood
      Date Deposited: 16 Dec 2009 13:49
      Last modified: 17 Mar 2012 05:10
      URI: http://strathprints.strath.ac.uk/id/eprint/13887

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