具有连续分布市场的网络寡头模型研究
Research on the Network Oligopoly Models with Continuous-variable Markets
王能发 1杨哲2
作者信息
- 1. 贵州财经大学数学与统计学院;贵州省大数据统计分析重点实验室,贵阳 550025
- 2. 上海财经大学经济学院,上海 200433;上海财经大学数理经济学教育部重点实验室,上海 200433
- 折叠
摘要
本文扩展有限多个市场的网络寡头为具有无限多个市场的情形,将构建具有连续分布市场的网络寡头模型.在完全非合作的假设下,首先证明Cournot-Nash均衡的存在性.进一步,假定厂商集合存在一个联盟结构,凭借定义联盟成本函数和联盟利润函数,我们构建了一个基于联盟结构的非合作博弈,并证明了此博弈中Nash均衡的存在性.新的网络寡头模型和Nash均衡的存在性证明为本文的主要贡献.
Abstract
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.
关键词
网络寡头/连续分布市场/联盟结构/Nash均衡/存在性定理Key words
network oligopoly/continuous-variable markets/coalition structure/Nash equilibria/existence theorems引用本文复制引用
出版年
2025
NETL
NSTL
万方数据