Evolutionary variational formulation for oligopolistic market equilibrium problems with production excesses
The authors describe a time-dependent spatial oligopolistic market model with shipment and storage costs. It is formulated as a dynamic Cournot-Nash equilibrium problem and transformed into an evolutionary variational inequality by taking proper derivatives. The authors give conditions which provide equivalence to optimality conditions and prove existence results under continuity and pseudo-monotonicity assumptions. Some sufficient conditions for continuity of solutions are also obtained. The results are illustrated by a numerical example of an oligopolistic market.
scientific article; zbMATH DE number 6132214
scientific article