Numerical construction of Stackelberg solutions in a linear positional differential game based on the method of polyhedra

DOI10.1134/S0005117918030074zbMath1391.49074OpenAlexW2791616732MaRDI QIDQ1647293

Sergeĭ I. Osipov, D. R. Kuvshinov

Publication date: 26 June 2018

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0005117918030074

zbMATH Keywords

Stackelberg solutionnumerical solutionconvex polyhedronnon-zero-sum positional differential game

Mathematics Subject Classification ID

Differential games and control (49N70) Economic models of real-world systems (e.g., electricity markets, etc.) (91B74) Control/observation systems governed by ordinary differential equations (93C15) Pursuit and evasion games (49N75)

Related Items (1)

A Geometric Approach to a Class of Optimal Control Problems

Cites Work

• Backward induction algorithm for a class of closed-loop Stackelberg games
• Numerical construction of Nash and Stackelberg solutions in a two-player linear non-zero-sum positional differential game
• Min-max and min-min Stackelberg strategies with closed-loop information structure
• Equilibria in models of hierarchically organized dynamical control systems with regard to sustainable development conditions
• Realization of the algorithm for constructing solutions for a class of hierarchical Stackelberg games
• The computational geometry algorithms library CGAL
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