A Galerkin Method for the Dynamic Nash Equilibrium Problem with Shared Constraint

DOI10.1007/978-3-319-89920-6_82zbMath1397.49005OpenAlexW2803382167MaRDI QIDQ4685826

Stefan Pickl, Zhengyu Wang

Publication date: 9 October 2018

Published in: Operations Research Proceedings (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-89920-6_82

Mathematics Subject Classification ID

Special types of economic equilibria (91B52) Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Existence theories for optimal control problems involving ordinary differential equations (49J15) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Uses Software

• PATH Solver

Cites Work

• Differential variational inequality approach to dynamic games with shared constraints
• Numerical methods for nonsmooth dynamical systems. Applications in mechanics and electronics
• Differential variational inequalities
• Computing matrix functions
• Computational error bounds for a differential linear variational inequality
• Semismooth Newton Methods for Operator Equations in Function Spaces
• The Primal-Dual Active Set Strategy as a Semismooth Newton Method
• A generalized Nash equilibrium approach for optimal control problems of autonomous cars
• Multi-agent Optimal Control Problems and Variational Inequality Based Reformulations

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