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Equilibrium Models of Spatial Interaction with Locational-Capacity Constraints

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  • Ye G Kantorovich

    (Institute of the Master Plan of Moscow, 2/14 2nd Brestskaya Street, Moscow 125047, Russia)

Abstract

Two types of equilibrium models of urban spatial structures are considered. An equilibrium version of the production-constrained spatial interaction model involving zonal-capacity constraints on allocation is investigated. A model of equilibrium for interacting subsystems is defined (it is a generalisation of Nash equilibria and of some Lowry-type models) and connections between this model and Nash equilibria are investigated. An entropy-projection operator is used for equilibrium urban models with zonal-capacity constraints. Problems of uniqueness of an equilibrium and the convergence of the iterative computational process are studied for these models.

Suggested Citation

  • Ye G Kantorovich, 1992. "Equilibrium Models of Spatial Interaction with Locational-Capacity Constraints," Environment and Planning A, , vol. 24(8), pages 1077-1095, August.
    • Handle: RePEc:sae:envira:v:24:y:1992:i:8:p:1077-1095
    DOI: 10.1068/a241077
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    Cited by:

    1. Ng, Matthew Kok Ming & Roper, Josephine & Pettit, Christopher & Lee, Chyi Lin, 2021. "The Reflection of Income Segregation and Accessibility Cleavages in Sydney’s House Prices," SocArXiv 2psk5, Center for Open Science.

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