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Stochastic Differential Games and Viscosity Solutions of Hamilton–Jacobi–Bellman–Isaacs Equations
6 references·16 citing·43 second hop
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this work references cited by second hop

References

  • 1990Adapted solution of a backward stochastic differential equation2,676 cited
  • 1997Backward Stochastic Differential Equations in Finance2,339 cited
  • 1997Backward stochastic differential equations and integral-partial differential equations538 cited
  • 1992A Generalized dynamic programming principle and hamilton-jacobi-bellman equation296 cited
  • 2006Second‐order backward stochastic differential equations and fully nonlinear parabolic PDEs239 cited
  • 1995Zero-sum stochastic differential games and backward equations235 cited

Cited by

  • 2015Leader–follower stochastic differential game with asymmetric information and applications119 cited
  • 2014Two Person Zero-Sum Game in Weak Formulation and Path Dependent Bellman--Isaacs Equation107 cited
  • 2016Portfolio Optimization with Ambiguous Correlation and Stochastic Volatilities100 cited
  • 2010A Pontryagin's Maximum Principle for Non-Zero Sum Differential Games of BSDEs with Applications94 cited
  • 2010Some Recent Aspects of Differential Game Theory94 cited
  • 2008Dynamic Programming Principle for One Kind of Stochastic Recursive Optimal Control Problem and Hamilton–Jacobi–Bellman Equation62 cited
  • 2013On the Multidimensional Controller-and-Stopper Games62 cited
  • 2015An Optimal Feedback Control-Strategy Pair For Zero-Sum Linear-Quadratic Stochastic Differential Game: the Riccati Equation Approach

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56 cited
  • 2013Stochastic Differential Games Involving Impulse Controls and Double-Obstacle Quasi-variational Inequalities55 cited
  • 2016Weak Solutions of Mean-Field Stochastic Differential Equations and Application to Zero-Sum Stochastic Differential Games49 cited
  • 2018Risk-Sensitive Zero-Sum Differential Games43 cited
  • 2014Existence of Nash Equilibrium Points for Markovian Nonzero-sum Stochastic Differential Games with Unbounded Coefficients43 cited
  • 2016Generalized Dynkin games and doubly reflected BSDEs with jumps42 cited
  • 2014Stochastic Perron's Method and Elementary Strategies for Zero-Sum Differential Games42 cited
  • 2016Dynamic programming principle for stochastic recursive optimal control problem driven by a G -Brownian motion39 cited
  • 2014Existence of Nash equilibrium points for Markovian non-zero-sum stochastic differential games with unbounded coefficients38 cited