Qualification of optimal strategies and singular surfaces of a class of differential games

1970 ◽  
Vol 6 (6) ◽  
pp. 453-474 ◽  
Author(s):  
P. L. Yu
Keyword(s):  
Differential Games ◽  
Optimal Strategies ◽  
Singular Surfaces

Synthesis of Optimal Strategies for Differential Games by Neural Networks

1995 ◽  
pp. 111-141 ◽  
Author(s):  
H. J. Pesch ◽  
I. Gabler ◽  
S. Miesbach ◽  
M. H. Breitner
Keyword(s):  
Neural Networks ◽  
Differential Games ◽  
Optimal Strategies

Necessary Conditions for Optimal Strategies in a Class of Noncooperative N-Person Differential Games

1969 ◽  
Vol 7 (4) ◽  
pp. 637-644 ◽  
Author(s):  
I. G. Sarma ◽  
R. K. Ragade ◽  
U. R. Prasad
Keyword(s):  
Differential Games ◽  
Necessary Conditions ◽  
Optimal Strategies

scholarly journals Syntheses of differential games and pseudo-Riccati equations

2002 ◽  
Vol 7 (2) ◽  
pp. 61-83 ◽  
Author(s):  
Yuncheng You
Keyword(s):  
Dynamical Systems ◽  
Saddle Point ◽  
Riccati Equation ◽  
Differential Games ◽  
Regular Solution ◽  
Closed Loop ◽  
Optimal Strategies ◽  
Time Parameter ◽  
Fixed Duration ◽  
Linear Dynamical Systems

For differential games of fixed duration of linear dynamical systems with nonquadratic payoff functionals, it is proved that the value and the optimal strategies as saddle point exist whenever the associated pseudo-Riccati equation has a regular solutionP(t,x). Then the closed-loop optimal strategies are given byu(t)=−R−1B∗P(t,x(t)), v(t)=−S−1C∗P(t,x(t)). For differential game problems of Mayer type, the existence of a regular solution to the pseudo-Riccati equation is proved under certain assumptions and a constructive expression of that solution can be found by solving an algebraic equation with time parameter.

scholarly journals Cooperative differential game model with continuous updating

2020 ◽  
Vol 12 (2) ◽  
pp. 82-109
Author(s):  
Ованес Леонович Петросян ◽  
Ovanes Petrosian ◽  
Анна Викторовна Тур ◽  
Anna Tur ◽  
Цзэян Ван ◽  
...  
Keyword(s):  
Differential Games ◽  
Optimal Strategies ◽  
Limited Resource ◽  
Game Model ◽  
Cooperative Solution ◽  
Cooperative Strategies ◽  
The Moment ◽  
Resource Extraction Game ◽  
Cooperative Differential Game ◽  
Cooperative Differential Games

The paper considers and describes the class of cooperative differential games with continuous updating. Such a class of differential games is new, at the moment only the classnoncooperative game models with continuous updating have been studied. This paper describes the process of constructing cooperative strategies, cooperative trajectory, characteristicfunction and cooperative solution with continuous updating. Cooperative case of limited resource extraction game model with continuous updating is considered. Optimal strategies,characteristic function and cooperative solution are constructed. The Shapley vector is used as a cooperative solution. The numerical simulation results are demonstrated in the Matlabenvironment.

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