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Equilibrium values and dynamics of attractiveness terms in production-constrained spatial-interaction models

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  • B Harris
  • A G Wilson
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    Abstract

    A number of mechanisms are explored for modelling equilibrium values of attractiveness terms in production-constrained spatial-interaction models. They include revenue and facility-size balancing, a differential-equation representation of profit maximisation, and mathematical-programming formulations. The different methods turn out to be closely related but offer different and complementary insights. Some dynamic properties of such equilibrium points are explored, including the identification of circumstances which generate discrete changes for smooth changes in parameters. A number of possible algorithms for calculating the points are described.

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    Bibliographic Info

    Article provided by Pion Ltd, London in its journal Environment and Planning A.

    Volume (Year): 10 (1978)
    Issue (Month): 4 (April)
    Pages: 371-388

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    Handle: RePEc:pio:envira:v:10:y:1978:i:4:p:371-388

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    Web page: http://www.pion.co.uk

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    Cited by:
    1. Nijkamp, P. & Reggiani, A., 1991. "Space-time dynamics, spatial competition and the theory of chaos," Serie Research Memoranda, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics 0094, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    2. Nijkamp, P. & Reggiani, A., 1990. "Strategic long-term transportation planning and dynamic transportation models : a life cycle interpretation," Serie Research Memoranda, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics 0062, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    3. Fischer, M.M. & Nijkamp, P., 1987. "From static towards dynamic discrete choice modelling : a state of the art review," Serie Research Memoranda, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics 0061, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    4. Nijkamp, P. & Reggiani, A., 1992. "Static and dynamic spatial interaction models : an integrating perspective," Serie Research Memoranda, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics 0052, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    5. Richard Arnott & Alex Anas & Kenneth Small, 1997. "Urban Spatial Structure," Boston College Working Papers in Economics, Boston College Department of Economics 388., Boston College Department of Economics.
    6. P Nijkamp & A Reggiani, 1988. "Dynamic spatial interaction models: new directions," Environment and Planning A, Pion Ltd, London, Pion Ltd, London, vol. 20(11), pages 1449-1460, November.

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