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A Stochastic Version of the Urban Retail Model

Author

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  • A C F Vorst

    (Erasmus University of Rotterdam, Econometric Institute, Burgemeester Oudlaan 50, Rotterdam, The Netherlands)

Abstract

In this paper it is shown that if the consumers' scale economies parameter α in the urban retail model is less than one then the unique positive equilibrium is globally asymptotically stable. This is one of the reasons one might add a stochastic term to the model. This will be done in the paper.

Suggested Citation

  • A C F Vorst, 1985. "A Stochastic Version of the Urban Retail Model," Environment and Planning A, , vol. 17(12), pages 1569-1580, December.
    • Handle: RePEc:sae:envira:v:17:y:1985:i:12:p:1569-1580
    DOI: 10.1068/a171569
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    References listed on IDEAS

    as
    1. Rijk, F. J. A. & Vorst, A. C. F., 1983. "Equilibrium points in an urban retail model and their connection with dynamical systems," Regional Science and Urban Economics, Elsevier, vol. 13(3), pages 383-399, August.
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    Cited by:

    1. P Nijkamp & A Reggiani, 1988. "Dynamic Spatial Interaction Models: New Directions," Environment and Planning A, , vol. 20(11), pages 1449-1460, November.
    2. Nijkamp, P. & Reggiani, A., 1987. "Spatial interaction and input-output models : a dynamic stochastic multi-objective framework," Serie Research Memoranda 0059, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    3. Minoru Osawa & Takashi Akamatsu & Yosuke Kogure, 2020. "Stochastic stability of agglomeration patterns in an urban retail model," Papers 2011.06778, arXiv.org.

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