An inverse variational inequality approach to the evolutionary spatial price equilibrium problem. (English) Zbl 1293.91116
Summary: It is well known that the time-dependent spatial price equilibrium problem can be transformed into and studied as an evolutionary variational inequality. However, in some situations, control policies may be imposed to the end of regulating the amounts of production and consumption. As a consequence, the problem becomes a time-dependent spatial price equilibrium control problem and is formulated as an evolutionary inverse variational inequality. The existence of solutions is then investigated and a numerical example is also provided.
MSC:
| 91B52 | Special types of economic equilibria |
| 90C33 | Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) |
| 49N25 | Impulsive optimal control problems |
Keywords:
inverse variational inequality; spatial price equilibrium problem; evolutionary variational inequalityReferences:
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