Stabilization of evolutionary networked games with length-r information

Ying Mao, Liqing Wang, Yang Liu, Jianquan Lu and Zhen Wang

Applied Mathematics and Computation, 2018, vol. 337, issue C, 442-451

Abstract: This paper investigates the dynamics of evolutionary networked games with different length information via semi-tensor product (STP) method. First, a networked game with different length information is modeled in the form of probabilistic Boolean networks (PBNs) with time delays. Second, based on the utility function of each player, a necessary condition for the existence of a pure Nash equilibrium is obtained. Then a state feedback control is applied to stabilize the considered system. Finally, an example is presented to substantiate the effectiveness of the theoretical results.

Keywords: Evolutionary network game; Nash equilibrium; Probabilistic Boolean network; Semi-tensor product (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:337:y:2018:i:c:p:442-451

DOI: 10.1016/j.amc.2018.05.027

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