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Bicriterion Weight Varying Spatial Price Networks

Author

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  • F. Raciti

    (University of Catania at Enna)

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.

Suggested Citation

  • F. Raciti, 2004. "Bicriterion Weight Varying Spatial Price Networks," Journal of Optimization Theory and Applications, Springer, vol. 122(2), pages 387-403, August.
  • Handle: RePEc:spr:joptap:v:122:y:2004:i:2:d:10.1023_b:jota.0000042527.68901.da
    DOI: 10.1023/B:JOTA.0000042527.68901.da
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