This paper investigates Nash equilibrium (NE) seeking problems for noncooperative games over multi-players networks with finite bandwidth communication. A distributed quantized algorithm is presented, which consists of local gradient play, distributed decision estimating, and adaptive quantization. Exponential convergence of the algorithm is established, and a relationship between the convergence rate and the bandwidth is quantitatively analyzed. Finally, a simulation of an energy consumption game is presented to validate the proposed results.
翻译:本文调查纳什平衡(NE)在使用有限带宽通信的多玩家网络上寻找不合作游戏的问题。 提出了分布式量化算法,包括本地梯度游戏、分布式决定估计和适应性量化。 算法的指数趋同已经确立,对趋同率和带宽之间的关系进行了定量分析。 最后,提出了能源消费游戏的模拟,以验证提议的结果。