Unification of differential games, generalized solutions of the Hamilton-Jacobi equations, and a stochastic guide

DOI10.1134/S0012266109110111zbMath1187.49031OpenAlexW1976428382MaRDI QIDQ2655908

A. N. Kotel'nikova, N. N. Krasovskii

Publication date: 27 January 2010

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266109110111

zbMATH Keywords

minimax-maximin differential gameparabolic equations degenerating into Hamilton-Jacobi equationsSubbotin's generalized minimax solution of Hamilton-Jacobi equations

Mathematics Subject Classification ID

Differential games and control (49N70) Differential games (aspects of game theory) (91A23) Control problems involving ordinary differential equations (34H05)

Related Items (8)

Nikolai Nikolaevich Krasovskii (on the 90th anniversary of his birth) ⋮ Approximation of value function of differential game with minimal cost ⋮ Approximate Public-Signal Correlated Equilibria for Nonzero-Sum Differential Games ⋮ On the regularization of a cooperative solution in a multistage game with random time horizon ⋮ Guaranteed strategies for escaping encirclement ⋮ Extremal shift rule for continuous-time zero-sum Markov games ⋮ Approximate Solutions of Continuous-Time Stochastic Games ⋮ Uniform Tauberian theorem in differential games

Cites Work

• Introduction to the mathematical theory of control processes. Vol I: Linear equations and quadratic criteria
• Viscosity Solutions of Hamilton-Jacobi Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Unification of differential games, generalized solutions of the Hamilton-Jacobi equations, and a stochastic guide