Optimal Control of Networked Evolutionary Games With Bankruptcy Risk

This paper studies the optimal control problem for a class of networked evolutionary games (NEGs) with bankruptcy risk. Firstly, an algebraic expression is formulated for the given NEGs via the semi-tensor product. Then, the optimal control problem is discussed, and a state feedback controller is designed to maximize the long-run average payoff of the game. Finally, an illustrative example is presented to show the effectiveness of the obtained new results.