Abstract
We consider a spatial price equilibrium problem in which the consumers take their decisions according to the transportation cost and transportation time necessary for obtaining a given commodity. In particular, each consumer market can give a different weight to each component of a generalized cost, and we suppose that this weight can depend on time. Thus, we are faced with a time-dependent equilibrium problem which we cast within the framework of variational inequalities. We give existence results and, by using the example of a linear operator, we propose also a discretization procedure for equilibrium problems which can be modeled by the same type of variational inequality.
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Raciti, F. Bicriterion Weight Varying Spatial Price Networks. Journal of Optimization Theory and Applications 122, 387–403 (2004). https://doi.org/10.1023/B:JOTA.0000042527.68901.da
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DOI: https://doi.org/10.1023/B:JOTA.0000042527.68901.da