Approximate solutions to a class of nonlinear Stackelberg differential games
作者： T. Mylvaganam , A. Astolfi
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摘要: A two-player nonlinear Stackelberg differential game with player 1 and 2 as leader follower, respectively, is considered. The feedback solutions to such games rely on the solution of two coupled partial equations (PDEs) for which closed-form cannot in general be found. method constructing strategies satisfying inequalities place PDEs presented. It shown that these constitute approximate game. theory illustrated by a numerical example.
sci-hub.se 参考文章(19)
D.J.N. Limebeer, B.D.O. Anderson, B. Hendel, A Nash game approach to mixed H/sub 2//H/sub /spl infin// control IEEE Transactions on Automatic Control. ,vol. 39, pp. 69- 82 ,(1994) , 10.1109/9.273340
T. Mylvaganam, M. Sassano, A. Astolfi, Approximate solutions to a class of nonlinear differential games using a shared dynamic extension european control conference. pp. 710- 715 ,(2013) , 10.23919/ECC.2013.6669635
Santiago J. Rubio, On the coincidence of the feedback nash and stackelberg equilibria in economic applications of differential games Social Science Research Network. pp. 1- ,(2002) , 10.2139/SSRN.309560
Alain Bensoussan, Shaokuan Chen, Suresh Sethi, The Maximum Principle for Global Solutions of Stochastic Stackelberg Differential Games Social Science Research Network. ,(2014) , 10.2139/SSRN.2413990
Geert Jan Olsder, Tamer Başar, Dynamic Noncooperative Game Theory ,(1982)
Alain Bensoussan, Shaokuan Chen, Suresh P. Sethi, Feedback Stackelberg Solutions of Infinite-Horizon Stochastic Differential Games International Series in Operations Research & Management Science. pp. 3- 15 ,(2014) , 10.1007/978-3-319-00669-7_1
Engelbert J. Dockner, Steffen Jorgensen, Ngo Van Long, Gerhard Sorger, Differential Games in Economics and Management Science Cambridge Books. ,(2000) , 10.1017/CBO9780511805127
T. Mylvaganam, M. Sassano, A. Astolfi, Approximate solutions to a class of nonlinear differential games conference on decision and control. pp. 6489- 6494 ,(2012) , 10.1109/CDC.2012.6426353
T. Mylvaganam, A. Astolfi, Approximate optimal monitoring: Preliminary results advances in computing and communications. pp. 4745- 4750 ,(2012) , 10.1109/ACC.2012.6315453