SENSITIVITY ANALYSIS FOR GENERAL SPATIAL PRICE EQUILIBRIA |
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| Authors: | Roger L Tobin |
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| Institution: | Environmental Systems Engineer, Argonne National Laboratory, Argonne, Illinois. Now at GTE Laboratories, Waltham, Massachusetts. |
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| Abstract: | ABSTRACT. General spatial price equilibrium models are formulated as variational inequalities. Sensitivity analysis results recently developed for variational inequalities are reviewed which give conditions for existence and equations for calculating the derivatives of solution variables with respect to perturbation parameters. These results are applied to the variational inequality formulations of general spatial price equilibria, and derivatives of supplies, demands, flows, and prices with respect to perturbations of supply functions, demand functions, and transportation-cost functions are calculated. |
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