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Residual Descent Differential Dynamic Game (RD3G) -- A Fast Newton Solver for Constrained General Sum Games

Robotics 2024-09-19 v1

Abstract

We present Residual Descent Differential Dynamic Game (RD3G), a Newton-based solver for constrained multi-agent game-control problems. The proposed solver seeks a local Nash equilibrium for problems where agents are coupled through their rewards and state constraints. We compare the proposed method against competing state-of-the-art techniques and showcase the computational benefits of the RD3G algorithm on several example problems.

Keywords

Cite

@article{arxiv.2409.12152,
  title  = {Residual Descent Differential Dynamic Game (RD3G) -- A Fast Newton Solver for Constrained General Sum Games},
  author = {Zhiyuan Zhang and Panagiotis Tsiotras},
  journal= {arXiv preprint arXiv:2409.12152},
  year   = {2024}
}