On the bang-bang type Nash equilibrium point for Markovian nonzero-sum stochastic differential game

[1]  Rui Mu,et al.  Existence of Nash equilibrium points for Markovian non-zero-sum stochastic differential games with unbounded coefficients , 2013, 1308.5882.

[2]  M. Nisio.  Stochastic Differential Games , 2015 .

[3]  René Carmona,et al.  Probabilistic Analysis of Mean-field Games , 2013 .

[4]  R. Carmona,et al.  Control of McKean–Vlasov dynamics versus mean field games , 2012, 1210.5771.

[5]  Q. Lin.  A BSDE approach to Nash equilibrium payoffs for stochastic differential games with nonlinear cost functionals , 2011, 1106.1001.

[6]  Juan Li,et al.  Stochastic Differential Games and Viscosity Solutions of Hamilton--Jacobi--Bellman--Isaacs Equations , 2007, SIAM J. Control. Optim..

[7]  Xiongzhi Chen.  Brownian Motion and Stochastic Calculus , 2008 .

[8]  Catherine Rainer,et al.  Two Different Approaches to Nonzero-Sum Stochastic Differential Games , 2007 .

[9]  Pierre Cardaliaguet,et al.  On the Instability of the Feedback Equilibrium Payoff in a Nonzero-Sum Differential Game on the Line , 2007 .

[10]  P. Varaiya,et al.  Differential Games , 1994 .

[11]  Paola Mannucci,et al.  Nonzero-Sum Stochastic Differential Games with Discontinuous Feedback , 2004, SIAM J. Control. Optim..

[12]  Helmut Maurer,et al.  Second Order Sufficient Conditions for Time-Optimal Bang-Bang Control , 2003, SIAM J. Control. Optim..

[13]  Catherine Rainer,et al.  Nash Equilibrium Payoffs for Nonzero-Sum Stochastic Differential Games , 2004, SIAM J. Control. Optim..

[14]  Pierre Cardaliaguet,et al.  Existence and uniqueness of a Nash equilibrium feedback for a simple nonzero-sum differential game , 2003, Int. J. Game Theory.

[15]  Bernard Delyon,et al.  Lp solutions of backward stochastic differential equations , 2003 .

[16]  S. Hamadène,et al.  BSDEs and risk-sensitive control, zero-sum and nonzero-sum game problems of stochastic functional differential equations , 2003 .

[17]  Geert Jan Olsder,et al.  On Open- and Closed-Loop Bang-Bang Control in Nonzero-Sum Differential Games , 2001, SIAM J. Control. Optim..

[18]  A. Bensoussan,et al.  Stochastic Games for N Players , 2000 .

[19]  S. Hamadène,et al.  Nonzero sum linear–quadratic stochastic differential games and backward–forward equations , 1999 .

[20]  S. Peng,et al.  Backward Stochastic Differential Equations in Finance , 1997 .

[21]  Said Hamadène,et al.  Backward equations, stochastic control and zero-sum stochastic differential games , 1995 .

[22]  J. Lepeltier,et al.  Zero-sum stochastic differential games and backward equations , 1995 .

[23]  S. Peng,et al.  Adapted solution of a backward stochastic differential equation , 1990 .

[24]  P. Protter.  Stochastic integration and differential equations , 1990 .

[25]  Bohdan Maslowski,et al.  A stochastic maximum principle for optimal control of diffusions , 1988, Acta Applicandae Mathematicae.

[26]  A. Bensoussan,et al.  Nonlinear elliptic systems in stochastic game theory. , 1984 .

[27]  N. Christopeit,et al.  On Beneš' bang-bang control problem , 1982 .

[28]  A. V. Balakrishnan.  On stochastic bang bang control , 1980 .

[29]  V. Benes,et al.  Girsanov functionals and optimal bang-bang laws for final value stochastic control , 1974 .

[30]  D. Aronson,et al.  Bounds for the fundamental solution of a parabolic equation , 1967 .

[31]  I. V. Girsanov.  On Transforming a Certain Class of Stochastic Processes by Absolutely Continuous Substitution of Measures , 1960 .