标题：Strategy optimisation for coupled evolutionary public good games with threshold
作者：Fu S.; Pan Y.-N.; Feng J.-E.; Zhao J.
作者机构：[Fu, S] School of Mathematical Sciences, Liaocheng University, Liaocheng, China, Research Center of Semi-tensor Product of Matrices: Theory and Applic 更多
通讯作者地址：[Pan, Y.-N] School of Mathematical Sciences, Liaocheng UniversityChina;
来源：International Journal of Control
关键词：Coupled evolutionary PGGs; state feedback control; STP of matrices; strategy optimisation; threshold
摘要：In actual economic activities, different economic systems usually interact with each other, and the coupled networked evolutionary game is an important theoretical tool to describe and analyse such economic activities. In this paper, we investigate a kind of coupled evolutionary public good games (PGGs) with threshold which have two enhancement factors. First, the algebraic formulation for the dynamics of the given coupled PGGs is constructed by using a semi-tensor product (STP) of matrices. Then, the strategy optimisation problem is considered based on the algebraic expression, and all valid state feedback controls are designed to make the investment of the coupled evolutionary game in each layer reach their own threshold. Finally, an illustrative example is studied to support our new results. © 2020 Informa UK Limited, trading as Taylor & Francis Group.