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R and D policy in space and time. A nonlinear evolutionary growth model

Author

Listed:
  • Peter Nijkamp

    (Spatial Economics - VU - Vrije Universiteit Amsterdam [Amsterdam])

  • Jacques Poot

    (University of Waikato [Hamilton])

  • Jan Rouwendal

    (Spatial Economics - Free University)

Abstract

In this paper we shall explore these questions by means of a multiregional dynamic (discrete-time) model. It will be shown that the system can generate a wide range of dynamic behaviour, including - for certain parameters - the dynamic evolutions occurring in models of population biology (notably the so-called May type of models, see e.g. May (1976)). The May model is a particular type of model generating chaotic behaviour in dynamic systems. The theory of chaos as such has gained increasing interest in economics (see among others Benhabib and Day, 1981, 1982, Pohjola, 1981, or Stutzer, 1980). It is well-known that the periodic or chaotic behaviour of a May model is the result of specification of the model in difference equation form (see e.g. Barentsen and Nijkamp, 1988), but it will be shown that the model developed here generates bounded non-linear dynamics even in differential equation form. Finally, the steering possibilities of the system (e.g. by means op optimized control) will be touched upon.

Suggested Citation

  • Peter Nijkamp & Jacques Poot & Jan Rouwendal, 1988. "R and D policy in space and time. A nonlinear evolutionary growth model," Working Papers hal-01541463, HAL.
    • Handle: RePEc:hal:wpaper:hal-01541463
    Note: View the original document on HAL open archive server: https://hal.science/hal-01541463
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    References listed on IDEAS

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    1. Stutzer, Michael J., 1980. "Chaotic dynamics and bifurcation in a macro model," Journal of Economic Dynamics and Control, Elsevier, vol. 2(1), pages 353-376, May.
    2. Nijkamp, P. & Reggiani, A., 1988. "Theory of chaos in a space-time perspective," Serie Research Memoranda 0029, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    3. Kamien,Morton I. & Schwartz,Nancy L., 1982. "Market Structure and Innovation," Cambridge Books, Cambridge University Press, number 9780521293853, December.
    4. Benhabib, Jess & Day, Richard H., 1982. "A characterization of erratic dynamics in, the overlapping generations model," Journal of Economic Dynamics and Control, Elsevier, vol. 4(1), pages 37-55, November.
    5. Dorfman, Robert, 1969. "An Economic Interpretation of Optimal Control Theory," American Economic Review, American Economic Association, vol. 59(5), pages 817-831, December.
    6. Jess Benhabib & Richard H. Day, 1981. "Rational Choice and Erratic Behaviour," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 48(3), pages 459-471.
    7. Nelson, Richard R, 1981. "Research on Productivity Growth and Productivity Differences: Dead Ends and New Departures," Journal of Economic Literature, American Economic Association, vol. 19(3), pages 1029-1064, September.
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    Cited by:

    1. Nijkamp, P. & Poot, J., 1990. "Endogenous technological progress and spatial interdependence," Serie Research Memoranda 0061, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.

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