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Robustness Analysis of Evolutionary Congestion Game with Attackers |
WANG Guilin, XU Yong
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School of Science, Hebei University of Technology, Tianjin 300401, China |
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Abstract The evolutionary congestion game with attackers and feasible state constrained set is investigated, using the semi-tensor product method of matrix, game dynamic system is transformed into an algebraic form and studied its robustness. Firstly, evolutionary congestion game with attackers and controllers is transformed into an algebraic form. Secondly, the open-loop control and state feedback control are transformed, and the Nash equilibrium is robust for any initial profiles in the restricted set of feasible states. Finally, an example is presented to illustrate that the dynamic system of evolutionary congestion game with attackers can achieve robust reachable equilibrium under open-loop control and state feedback control.
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Published: 24 June 2020
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