towardsatheoryofgamebasednonequilibriumcontrolsystems

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	towardsatheoryofgamebasednonequilibriumcontrolsystems
	Mu Yifen; Guo Lei
	2012
Source Publication	journalofsystemsscienceandcomplexity
ISSN	1009-6124
Volume	25 Issue:2 Pages:209
Abstract	This paper considers optimization problems for a new kind of control systems based on non-equilibrium dynamic games. To be precise, the authors consider the infinitely repeated games between a human and a machine based on the generic 2x2 game with fixed machine strategy of finite k-step memory. By introducing and analyzing the state transfer graphes (STG), it will be shown that the system state will become periodic after finite steps under the optimal strategy that maximizes the human's averaged payoff, which helps us to ease the task of finding the optimal strategy considerably. Moreover, the question whether the optimizer will win or lose is investigated and some interesting phenomena are found, e.g., for the standard Prisoner's Dilemma game, the human will not lose to the machine while optimizing her own averaged payoff when k = 1; however, when k a parts per thousand yen 2, she may indeed lose if she focuses on optimizing her own payoff only. The robustness of the optimal strategy and identification problem are also considered. It appears that both the framework and the results are beyond those in the classical control theory and the traditional game theory.
Language	英语
Funding Project	[National Natural Science Foundation of China] ; [Chinese Academy of Sciences]
Document Type	期刊论文
Identifier	http://ir.amss.ac.cn/handle/2S8OKBNM/46683
Collection	系统科学研究所国家数学与交叉科学中心
Affiliation	中国科学院数学与系统科学研究院
Recommended Citation GB/T 7714	Mu Yifen,Guo Lei. towardsatheoryofgamebasednonequilibriumcontrolsystems[J]. journalofsystemsscienceandcomplexity,2012,25(2):209.
APA	Mu Yifen,&Guo Lei.(2012).towardsatheoryofgamebasednonequilibriumcontrolsystems.journalofsystemsscienceandcomplexity,25(2),209.
MLA	Mu Yifen,et al."towardsatheoryofgamebasednonequilibriumcontrolsystems".journalofsystemsscienceandcomplexity 25.2(2012):209.

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