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The Cusp Catastrophe In The Urban Retail Model

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  • Kaashoek, J. F.
  • Vorst, A. C. F.

Abstract

In this paper we will show that for a suitable choice of the parameters in an urban retail model as developed by Huff and Lakshmanen and Hansen one finds a cusp catastrophe in the surface of equilibrium points. We give some economic consequences of the fact that we have a cusp catastrophe. Furthermore we show that for other choices of the parameters the equilibrium points of the model depend smoothly on the parameters.

Suggested Citation

  • Kaashoek, J. F. & Vorst, A. C. F., 1983. "The Cusp Catastrophe In The Urban Retail Model," Econometric Institute Archives 272276, Erasmus University Rotterdam.
    • Handle: RePEc:ags:eureia:272276
    DOI: 10.22004/ag.econ.272276
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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. R Crouchley, 1987. "An Examination of the Equivalence of Three Alternative Mechanisms for Establishing the Equilibrium Solutions of the Production-Constrained Spatial Interaction Model," Environment and Planning A, , vol. 19(7), pages 861-874, July.

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