This work explores the uniqueness of Nash–Cournot equilibria in wholesale electricity markets with both thermal and renewable generation in the presence of demand uncertainty. Criteria guaranteeing a unique equilibrium are derived for an energy market where each firm owns a share of renewable generation. This work expands upon the uniqueness results proven by Lagerlöf (2006) to incorporate the presence of renewable generation into the market in the manner of Acemoglu et al. (2017). A numerical case study is used to illustrate the potential impacts of increasing renewable generation on equilibrium uniqueness and directions for future research are discussed.

中文翻译：

---

关于纳什-库尔诺均衡在具有可再生能源发电和需求不确定性的寡头垄断能源市场中的独特性的说明


这项工作探讨了在需求不确定性的情况下，电力批发市场中火力发电和可再生能源发电的纳什-库尔诺均衡的独特性。保证独特均衡的标准是针对每家公司拥有可再生能源发电份额的能源市场得出的。这项工作扩展了 Lagerlöf （2006） 证明的独特性结果，以 Acemoglu 等人（2017 年）的方式将可再生能源发电的存在纳入市场。使用数字案例研究来说明增加可再生能源发电对平衡独特性的潜在影响，并讨论了未来研究的方向。