为了模拟电力市场中发电商采取不同策略的博弈行为,提出了考虑输电网约束下的有限理性与适应性动态Cournot博弈模型,并运用非线性理论对模型的奇点进行稳定性分析,从理论上给出了各参数对该投资过程稳定性的影响,通过理论分析和数值模拟发现模型中某些参数变化到一定程度时,Nash均衡点会变得不稳定,从而使系统变得不稳定.
In order to simulate the game behaviors of different strategies by electric power companies, this paper presents the bounded rational and adaptive dynamic Coumot game model considering the work of transmission network. By applying non - linear theories to the model and analyzing the stability of its singularities, we can get a theoretical conclusion of the influence that every parameter makes on the stability of the investment procedure. Through theoretical analysis and numerical simulation, we can find out the instability of the changes of the Nash equilibrium points when some parameters change to certain degree in this model, which could get the system unstable.