## Game-Theoretic Multi-Agent Control and Network Cost Allocation Under Communication Constraints

- Feier Lian, Aranya Chakrabortty, Alexandra Duel-Hallen
- IEEE Journal on Selected Areas in Communications
- 2017

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@article{Mukaidani2006ANA, title={A numerical analysis of the Nash strategy for weakly coupled large-scale systems}, author={Hiroaki Mukaidani}, journal={IEEE Transactions on Automatic Control}, year={2006}, volume={51}, pages={1371-1377} }

- Published 2006 in IEEE Transactions on Automatic Control
DOI:10.1109/TAC.2006.878744

This note discusses the feedback Nash equilibrium of linear quadratic N-player Nash games for infinite-horizon large-scale interconnected systems. The asymptotic structure along with the uniqueness and positive semidefiniteness of the solutions of the cross-coupled algebraic Riccati equations (CAREs) is newly established via the Newton-Kantorovich theorem. The main contribution of this study is the proposal of a new algorithm for solving the CAREs. In order to improve the convergence rate ofâ€¦Â CONTINUE READING

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