\(N\)-person differential games governed by semilinear stochastic evolution systems
DOI10.1007/BF01447745zbMath0753.90092OpenAlexW36478155MaRDI QIDQ1180331
Publication date: 27 June 1992
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01447745
semigroupHilbert spaceNash equilibriumminimax principleopen loop controlsemilinear stochastic evolutions
Optimal feedback synthesis (49N35) Differential games and control (49N70) Differential games (aspects of game theory) (91A23) Linear-quadratic optimal control problems (49N10) Stochastic games, stochastic differential games (91A15) Initial value problems for linear higher-order PDEs (35G10) Pursuit and evasion games (49N75) Probabilistic games; gambling (91A60) Higher-order parabolic equations (35K25) Miscellaneous topics in calculus of variations and optimal control (49N99)
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Cites Work
- Unnamed Item
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- Dynamic noncooperative game theory
- Anticipating Hilbert integrals with respect to a cylindrical Wiener process and associated stochastic calculus
- Viscosity solutions of fully nonlinear second-order equations and optimal stochastic control in infinite dimensions. III: Uniqueness of viscosity solutions for general second-order equations
- Note on noncooperative convex games
- Maximum principle for semilinear stochastic evolution control systems
- Adapted solution of a backward semilinear stochastic evolution equation
- Functionally commutative matrices and matrices with constant eigenvectors†
- Distributed Computation of Nash Equilibria in Linear-Quadratic Stochastic Differential Games