Stochastic stability and stabilization of n-person random evolutionary Boolean games

Xueying Ding, Haitao Li, Qiqi Yang, Yingrui Zhou, Ahmed Alsaedi and Fuad E. Alsaadi

Applied Mathematics and Computation, 2017, vol. 306, issue C, 1-12

Abstract: This paper studies the stochastic stability and stabilization of n-person random evolutionary Boolean games (REBG). Firstly, the n-person REBG is converted to an algebraic form by using the semi-tensor product of matrices. Secondly, a necessary and sufficient condition is presented for the stochastic stability of n-person REBG based on the algebraic form. Thirdly, a constructive procedure is proposed for the state feedback stochastic stabilization control design of n-person REBG by defining a series of stochastic reachable sets. Finally, two illustrative examples are worked out to show the effectiveness of the obtained new results.

Keywords: n-person random evolutionary Boolean game; Stability; Stabilization; Semi-tensor product of matrices (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:306:y:2017:i:c:p:1-12

DOI: 10.1016/j.amc.2017.02.020

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