Two-person game with Nash equilibrium in optimal control problems

DOI10.1007/s11590-011-0440-xzbMath1258.49062OpenAlexW2046492752MaRDI QIDQ694173

Anatoliĭ Sergeevich Antipin

Publication date: 11 December 2012

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11590-011-0440-x

zbMATH Keywords

optimal controlNash equilibriumtwo-person gameextra-gradient method

Mathematics Subject Classification ID

Variational inequalities (49J40) Differential games and control (49N70) 2-person games (91A05) Dynamic games (91A25) Methods of reduced gradient type (90C52)

Related Items (9)

Saddle point approach to solving problem of optimal control with fixed ends ⋮ Dynamics and variational inequalities ⋮ Terminal control of boundary models ⋮ Linear programming and dynamics ⋮ Controlled dynamic model with boundary-value problem of minimizing a sensitivity function ⋮ On Methods of Terminal Control with Boundary-Value Problems: Lagrange Approach ⋮ Game-Theoretic Models of Incentive and Control Strategies in Social and Economic Systems ⋮ Augmented Lagrangian Method for Optimal Control Problems ⋮ Dynamic method of multipliers in terminal control

Cites Work

• Korpelevich's method for variational inequality problems in Banach spaces
• Pareto optimality, game theory and equilibria
• Optimization and control of bilinear systems. Theory, algorithms, and applications
• Extra-proximal methods for solving two-person nonzero-sum games
• Equilibrium programming: Gradient methods
• Equilibrium programming: Proximal methods
• Gradient approach of computing fixed points of equilibrium problems
• Note on noncooperative convex games
• Mathematical Optimization and Economic Theory
• Multicriteria equilibrium programming problems and methods for their solutions
• Equilibrium points in n -person games
• Set-valued analysis
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