About One Differential Game Model with Dynamic Updating

Differential game model of limited resource extraction with dynamic updating is studied in the paper. The class of games with dynamic updating is new in the theory of differential games. Cooperative setting of limited resource extraction with dynamic updating is considered. Optimal strategies, coope...

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Bibliographic Details
Published inAutomation and remote control Vol. 81; no. 9; pp. 1733 - 1750
Main Authors Petrosian, O. L., Tikhomirov, D. S., Kuchkarov, I. I., Gao, H.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.09.2020
Springer Nature B.V
Subjects
639/301/1034/1035
639/925/357/995
CAE) and Design
Calculus of Variations and Optimal Control; Optimization
Characteristic functions
Computer-Aided Engineering (CAD
Control
Differential games
Game theory
Mathematical Game Theory and Applications
Mathematical models
Mathematics
Mathematics and Statistics
Mechanical Engineering
Mechatronics
Optimization
Robotics
Systems Theory
looking forward approach
continuous updating
differential games
dynamic updating
cooperative strategies
feedback Nash equilibrium
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Summary:Differential game model of limited resource extraction with dynamic updating is studied in the paper. The class of games with dynamic updating is new in the theory of differential games. Cooperative setting of limited resource extraction with dynamic updating is considered. Optimal strategies, cooperative payoff, characteristic function and allocation rule for cooperative payoff between the players are derived in an explicit form. As an optimality principle or cooperative solution Shapley value is used. Results of numerical simulation in the Python environment are demonstrated.
ISSN:0005-1179
1608-3032
DOI:10.1134/S0005117920090131