论文标题
NASH均衡的稳定性分析，用于基于2代理损失的非合作开关系统的稳定性分析
Stability Analysis of Nash Equilibrium for 2-Agent Loss-Aversion-Based Noncooperative Switched Systems
论文作者
论文摘要
研究了基于二次收益的基于损失的非合作开关系统的稳定性。在此系统中，每个代理在近视伪梯度动力学中采用较低的灵敏度参数，而不是获得效用，而不是获得实用程序，并且两个系统的动力学和切换事件（条件）取决于代理的回报功能。根据NASH平衡的位置，代理在nash平衡中趋向于NASH平衡的足够条件。在分析中，我们称之为闪存开关即时的模式过渡序列和有趣的现象。最后，我们提出了几个数值示例，以说明结果的属性。
The stability property of the loss-aversion-based noncooperative switched systems with quadratic payoffs is investigated. In this system, each agent adopts the lower sensitivity parameter in the myopic pseudo-gradient dynamics for the case of losing utility than gaining utility, and both systems' dynamics and switching events (conditions) are depending on agents' payoff functions. Sufficient conditions under which agents' state converges towards the Nash equilibrium are derived in accordance with the location of the Nash equilibrium. In the analysis, the mode transition sequence and interesting phenomena which we call flash switching instants are characterized. Finally, we present several numerical examples to illustrate the properties of our results.
