References¶
This page collects papers, derivations, and related implementations that are useful for understanding the solver families and examples in PYDGENS.
Other documentation pages should link to these headings rather than repeating full citation details inline.
Dynamic Noncooperative Game Theory¶
Başar, Tamer, and Geert Jan Olsder. Dynamic Noncooperative Game Theory. Society for Industrial and Applied Mathematics, 1998.
Used for:
- finite-horizon dynamic game background
- feedback Nash concepts
- linear-quadratic dynamic games
Feedback LQ Nash Derivation¶
Fridovich-Keil, David, et al. "Feedback LQ Nash" derivation.
Used for:
- feedback linear-quadratic Nash recursion conventions
- implementation cross-checks for LQ solver behavior
iLQGames¶
Fridovich-Keil, David, Ellis Ratner, Lasse Peters, Anca D. Dragan, and Claire J. Tomlin. "Efficient Iterative Linear-Quadratic Approximations for Nonlinear Multi-Player General-Sum Differential Games." 2020 IEEE International Conference on Robotics and Automation (ICRA). IEEE, 2020.
Used for:
- iterative linear-quadratic game approximations
- local feedback Nash solves for nonlinear games
- inspiration for iLQ examples and solver conventions
ALGAMES¶
Le Cleac'h, Simon, Mac Schwager, and Zachary Manchester. "ALGAMES: A Fast Augmented Lagrangian Solver for Constrained Dynamic Games." Autonomous Robots 46, no. 1 (2022): 201-215.
Used for:
- augmented-Lagrangian approaches to constrained dynamic games
- local open-loop Nash trajectories with constraints
- inspiration for constrained examples and AL solver development
Smooth Game Theory¶
Fridovich-Keil, David. "Smooth Game Theory." 2024.
Used for:
- general smooth game-theoretic background
- differential game notation and equilibrium concepts
- future frontend/solver documentation