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Equilibrium Conditions and Solution Procedures for the Production-Constrained Spatial Interaction Model with a General Attractiveness Function

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  • R Crouchley

    (School of Geography, University of Leeds, Leeds LS2 9JT, England)

Abstract

The consequences of imposing the revenue-capacity condition (which can be interpreted as profit maximization) to determine supply patterns in conjunction with the production-constrained spatial interaction model with a general attractiveness function are presented. Convergence of the quasi-balancing factor method is shown to be an insufficient condition for providing an equilibrium solution; three different sets of results are obtained for an illustrative retailing system. Two of these results are shown to be nonoptimal.

Suggested Citation

  • R Crouchley, 1984. "Equilibrium Conditions and Solution Procedures for the Production-Constrained Spatial Interaction Model with a General Attractiveness Function," Environment and Planning A, , vol. 16(6), pages 821-828, June.
    • Handle: RePEc:sae:envira:v:16:y:1984:i:6:p:821-828
    DOI: 10.1068/a160821
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