A matrix approach to modeling and optimization for dynamic games with random entrance

Modeling and Stability Analysis for Markov Jump Networked Evolutionary Games

“…It worth noting that this manuscript consists of two important part: (1) The modeling and algebraic formulation of the given MJNEGs; (2) Based on the obtained algebraic expressions, we investigate the stability analysis for the given MJNEGs. Actually, this paper can be considered as a further research of [40]. Compared with the model adopted in [40], the description of MJNEGs is more general, i.e., the MJNEGs given in this paper can include the research target in [40] as a special case.…”

“…Actually, this paper can be considered as a further research of [40]. Compared with the model adopted in [40], the description of MJNEGs is more general, i.e., the MJNEGs given in this paper can include the research target in [40] as a special case. In addition to that, the stability analysis for the MJNEGs in this paper is deeper than the stability analysis in [40].…”

Optimal Control of Networked Evolutionary Games With Bankruptcy Risk

“…Motivated by the above discussion, in this paper, we consider to study the optimal control problem for a class of NEGs with bankruptcy risk via the STP method. Compared with [26], [27] the structure matrix gained is no longer a logical matrix, but many columns of the structure matrix may be 0, which makes the control law of this paper different from that of the existing results The main innovation point of this paper are twofold. For one thing, a necessary and sufficient condition is proposed to check whether the best strategy profile is a stable profile without any player or pseudoplayer going bankrupt.…”

“…Guo et al [22] added pseudo-players as control strategy into an NEG, and designed a free-type control sequence to maximize the average payoff of the pseudoplayer. Up to now, the optimal control problem has been studied widely in NEGs [26], [27], and [28] gives a detailed discussion of it.…”

A survey on applications of semi-tensor product method in engineering

“…On the other hand, STP method has wide applications in the engineering related field. These applications include gene regulation [124,125], power system [126][127][128][129], wireless communication [130][131][132], smart grid [133][134][135][136][137][138][139], finite automata [140][141][142][143][144], information security [145][146][147], vehicle control [148][149][150], indoor thermal comfort [151][152][153][154], fault detection of circuits [155,156], spacecraft [157], epidemic vaccination [158], mobile robot [159]. The aim of this paper is to present a comprehensive survey on these applications.…”