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@article{Mylvaganam:2015:10.1109/TAC.2014.2362334,
author = {Mylvaganam, T and Sassano, M and Astolfi, A},
doi = {10.1109/TAC.2014.2362334},
journal = {IEEE Transactions on Automatic Control},
pages = {950--965},
title = {Constructive epsilon-nash equilibria for nonzero-sum differential games},
url = {http://dx.doi.org/10.1109/TAC.2014.2362334},
volume = {60},
year = {2015}
}

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TY  - JOUR
AB  - In this paper, a class of infinite-horizon, nonzero-sum differential games and their Nash equilibria are studied and the notion of ε α -Nash equilibrium strategies is introduced. Dynamic strategies satisfying partial differential inequalities in place of the Hamilton-Jacobi-Isaacs partial differential equations associated with the differential games are constructed. These strategies constitute (local) ε α -Nash equilibrium strategies for the differential game. The proposed methods are illustrated on a differential game for which the Nash equilibrium strategies are known and on a Lotka-Volterra model, with two competing species. Simulations indicate that both dynamic strategies yield better performance than the strategies resulting from the solution of the linear-quadratic approximation of the problem.
AU  - Mylvaganam,T
AU  - Sassano,M
AU  - Astolfi,A
DO  - 10.1109/TAC.2014.2362334
EP  - 965
PY  - 2015///
SN  - 0018-9286
SP  - 950
TI  - Constructive epsilon-nash equilibria for nonzero-sum differential games
T2  - IEEE Transactions on Automatic Control
UR  - http://dx.doi.org/10.1109/TAC.2014.2362334
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000351731600005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - https://ieeexplore.ieee.org/document/6918427
VL  - 60
ER  -

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