Title :
Formulation of a class of networked evolutionary games with switched topologies
Author :
Zhao, Guodong ; Wang, Yuzhen ; Du, Yingxue
Author_Institution :
School of Control Science and Engineering, Shandong University, Jinan 250061, P.R. China
Abstract :
This paper investigates the algebraic formulation and stability for a class of networked evolutionary games with switched topologies by using the semi-tensor product method, and presents a number of new results. Firstly, a kind of algebraic expressions are formulated for the given networked evolutionary games to model its mixed strategy dynamic. Secondly, under some certain assumptions, the existence of fixed point of the given networked evolutionary games is proved. Finally, an illustrative example is studied to support our new results.
Keywords :
Control systems; Games; Indexes; Matrix converters; Network topology; Probabilistic logic; Topology; Algebraic formulation; Finite networks; Mixed strategy dynamic; Networked evolutionary games; Semi-tensor product of matrix;
Conference_Titel :
Control Conference (CCC), 2015 34th Chinese
Conference_Location :
Hangzhou, China
DOI :
10.1109/ChiCC.2015.7259677
