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

Guodong Zhao, Yuzhen Wang and Haitao Li

Applied Mathematics and Computation, 2016, vol. 290, issue C, 9-20

Abstract: This paper investigates the algebraic formulation and optimization control for a class of dynamic games with random entrance by using the semi-tensor product method, and presents a number of new results. First, the given dynamic game is considered as a kind of networked evolutionary games with switch networks, based on which, it is formulated as a Markov processes to analyze. Second, using receding horizon control method, the given game’s optimization problem is solved by a state feedback controller, when the major player is considered as a control. Finally, an illustrative example is studied to support our new results.

Keywords: Semi-tensor product of matrix; Networked evolutionary game; Random entrance; Probabilistic logical networks; Receding horizon control (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:290:y:2016:i:c:p:9-20

DOI: 10.1016/j.amc.2016.05.012

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