Abstract A new general version of the Cournot equilibrium model is introduced, where each firm simultaneously produces several kinds of items, and it is assumed that the price vectors and cost functions depend on the total and own production levels of the producers, respectively. A new existence theorem is first stated and the relation of the equilibrium problem and fixed-point problems of low dimensional point-to-set mappings is outlined. Linear complementarity problems, and quadratic programming problems are constructed for the determination of the equilibrium points. On the basis of these methods a new uniqueness theorem is verified. Dynamic models are examined with discrete time scales. Conditions for stability of the dynamic models are given. The results presented in the paper are generalizations and extensions of earlier results of the oligopoly theory.
Linear and nonlinear oligopoly models
1986-01-01
8 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
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