Krasovskii–Subbotin Approach to Mean Field Type Differential Games
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[1] Vassili N. Kolokoltsov. Nonlinear Markov Processes and Kinetic Equations: Preface , 2010 .
[2] Fabio S. Priuli,et al. Generalized Control Systems in the Space of Probability Measures , 2018 .
[3] J. Giacomoni,et al. Quasilinear parabolic problem with $p(x)$-Laplacian: existence, uniqueness of weak solutions and stabilization , 2015, 1510.00234.
[4] Boualem Djehiche,et al. A General Stochastic Maximum Principle for SDEs of Mean-field Type , 2011 .
[5] P. Lions,et al. Jeux à champ moyen. I – Le cas stationnaire , 2006 .
[6] N. Pogodaev. Optimal control of continuity equations , 2015, 1506.08932.
[7] On solving pursuit game problems: PMM vol. 41, n≗ 5, 1977, pp. 825–832 , 1977 .
[8] L. Ambrosio,et al. Gradient Flows: In Metric Spaces and in the Space of Probability Measures , 2005 .
[9] Huyen Pham,et al. Zero-sum stochastic differential games of generalized McKean–Vlasov type , 2018, Journal de Mathématiques Pures et Appliquées.
[10] R. Carmona,et al. Forward-Backward Stochastic Differential Equations and Controlled McKean Vlasov Dynamics , 2013, 1303.5835.
[11] Robert J. Elliott,et al. Values in differential games , 1972 .
[12] K. Bahlali,et al. Existence of optimal controls for systems governed by mean-field stochastic differential equations , 2014 .
[13] A. Sznitman. Topics in propagation of chaos , 1991 .
[14] P. Varaiya,et al. Differential games , 1971 .
[15] H. Pham,et al. Bellman equation and viscosity solutions for mean-field stochastic control problem , 2015, 1512.07866.
[16] P. Caines,et al. Nash Equilibria for Large-Population Linear Stochastic Systems of Weakly Coupled Agents , 2005 .
[17] Alain Haurie,et al. Cooperative Equilibria in Differential Games , 1983, 1983 American Control Conference.
[18] Antonio Marigonda,et al. Time-Optimal Control Problem in the Space of Probability Measures , 2015, LSSC.
[19] A. I. Subbotin,et al. Game-Theoretical Control Problems , 1987 .
[20] Boualem Djehiche,et al. Optimal Control and Zero-Sum Stochastic Differential Game Problems of Mean-Field Type , 2016, Applied Mathematics & Optimization.
[21] A. I. Subbotin. Generalized Solutions of First Order PDEs , 1995 .
[22] ON A GAME PROBLEM OF CONVERGING AT A GIVEN INSTANT OF TIME , 1976 .
[23] M. Bardi,et al. Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations , 1997 .
[24] Daniel Andersson,et al. A Maximum Principle for SDEs of Mean-Field Type , 2011 .
[25] P. Saint-Pierre,et al. Numerical Schemes for Discontinuous Value Functions of Optimal Control , 2000 .
[26] Marc Quincampoix,et al. Deterministic differential Games under Probability Knowledge of Initial Condition , 2008, IGTR.
[27] A. N. Krasovskii,et al. Control under Lack of Information , 1994, Dynamics and Control.
[28] Huyên Pham,et al. Dynamic Programming for Optimal Control of Stochastic McKean-Vlasov Dynamics , 2016, SIAM J. Control. Optim..
[29] Avner Friedman. Existence of value and of saddle points for differential games of pursuit and evasion , 1970 .
[30] JiGuan G. Lin,et al. Existence of Saddle Points in Differential Games , 1969 .
[31] J. Warga. Optimal control of differential and functional equations , 1972 .
[32] A. Bensoussan,et al. Mean Field Games and Mean Field Type Control Theory , 2013 .
[33] H. Pham,et al. Randomized dynamic programming principle and Feynman-Kac representation for optimal control of McKean-Vlasov dynamics , 2016, 1606.08204.
[34] O. Pironneau,et al. Dynamic programming for mean-field type control , 2014 .
[35] Pierre Cardaliaguet,et al. A Differential Game with a Blind Player , 2010, SIAM J. Control. Optim..
[36] P. Meyer,et al. Probabilities and potential C , 1978 .
[37] P. Lions,et al. Jeux à champ moyen. II – Horizon fini et contrôle optimal , 2006 .
[38] P. Saint-Pierre,et al. Set-Valued Numerical Analysis for Optimal Control and Differential Games , 1999 .
[39] Alain Bensoussan,et al. The Master equation in mean field theory , 2014, 1404.4150.