Research on the Network Oligopoly Models with Continuous-variable Markets
In this paper,we extend the network oligopoly with finitely many markets to the model with infinitely many markets,and propose the network oligopoly model with continuous-variable markets.Under the fully noncooperative hypothesis,we first prove the existence of Cournot-Nash equilibria.Furthermore,we assume that there exists a partition of the set of firms.By defining the coalitional cost function and coali-tional profit function of every coalition,we establish a noncooperative game basing the coalition structure,and prove the existence of Nash equilibria.New network oligopoly models and Nash equilibrium existence theorems are our main contributions.
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