古诺模型的经典版本是在最大化利润的假设下进行产量决策博弈，本文 首先将其推广为双目标的古诺模型，对于不含外部性的模型进行直接求解，得 到纳什均衡的性质；对于含外部性的模型，提出梯度调整过程，使用动力系统 的方法，对其平衡点的性质进行了分析，得到了存在性和局部渐近稳定性的充 分条件；最后对上述结论通过 MATLAB 数值模拟进行验证，还得出了平衡点的 全局渐进稳定性的结果以及其吸引域。最后根据理论和实验结果，对现实中的 市场演化进行了实例分析，给出了企业经营策略的建议。

The classical version of the Cournot model is a game of output decision-making under the assumption of maximizing profits. This paper first generalizes it to a dualobjective Cournot model. For models without externalities, explict solutions are obtained and the properties of Nash equilibrium are obtained. For models with externalities, a gradient adjustment process is proposed. Using the method of dynamic systems, the properties of its rest points are analyzed and sufficient conditions for existence and local asymptotic stability are obtained. Finally, the above conclusions are verified by MATLAB numerical simulation, and the results of global asymptotic stability of equilibrium points and their domains of attraction are also obtained. Based on theory and experimental results, an example analysis of the evolution of the market in reality was carried out, and suggestions for business management strategies were given.