Equilibria in oligopoly games with interval-valued inverse demand function and cost functions

In this paper, we consider a class of oligopolistic markets with interval-valued inverse demand function and cost functions. Under the noncooperative hypothesis, we first prove the existence of interval Cournot-Nash equilibria. Furthermore, we define the NTU interval cooperative equilibrium and TU interval cooperative equilibrium, and prove their existence theorems. Under the noncooperative and cooperative hypothesis, we define the interval hybrid equilibrium with a partition of coalitions, and prove the existence theorem. Finally, we provide some examples to illustrate the models and equilibrium concepts.