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<p>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.</p>

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

  • 期刊论文

  • 发表日期：

    2026年2月4日

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  • Wensheng Jia,
  • Zhe Yang

摘要

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.