Strategy Optimization of Networked Evolutionary Games with Bankruptcy Mechanism

This paper investigates the strategy optimization control for a kind of networked evolutionary games with bankruptcy mechanism by using semi-tensor product of matrices, and presents some new results. First, the evolutionary dynamic of the given networked evolutionary game is constructed as a logical dynamic system, and then converted into its algebraic form via the semi-tensor product. Second, a free-type control sequence is designed to maximize the payoff of the whole game based on the algebraic form. Finally, an illustrative example is given to show the effectiveness of our main results.