Equilibrium Models of Spatial Interaction with Locational-Capacity Constraints

Ye G Kantorovich
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Ye G Kantorovich: Institute of the Master Plan of Moscow, 2/14 2nd Brestskaya Street, Moscow 125047, Russia

Environment and Planning A, 1992, vol. 24, issue 8, 1077-1095

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.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:sae:envira:v:24:y:1992:i:8:p:1077-1095

DOI: 10.1068/a241077

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