Control Stable Profile and Convergence of Control Networked Evolutionary Games with Multiple Payoffs

This paper studies the control stable profile and convergence for a class of control networked evolutionary games (NEGs) with multiple payoffs. Firstly, the control NEG under myopic best response adjustment rule is transformed into an algebraic form based on semi-tensor product (STP). Secondly, the profile feedback controllers are designed to guarantee that the game can globally converge to the control stable profile set. Finally, an illustrative example is given to verify the new results obtained in this paper.