Computing Nash Equilibria in Potential Games with Private Uncoupled Constraints
Abstract
We consider the problem of computing Nash equilibria in potential games where each player's strategy set is subject to private uncoupled constraints. This scenario is frequently encountered in real-world applications like road network congestion games where individual drivers adhere to personal budget and fuel limitations. Despite the plethora of algorithms that efficiently compute Nash equilibria (NE) in potential games, the domain of constrained potential games remains largely unexplored. We introduce an algorithm that leverages the Lagrangian formulation of NE. The algorithm is implemented independently by each player and runs in polynomial time with respect to the approximation error, the sum of the size of the action-spaces, and the game's inherit parameters.
Cite
Text
Patris et al. "Computing Nash Equilibria in Potential Games with Private Uncoupled Constraints." AAAI Conference on Artificial Intelligence, 2024. doi:10.1609/AAAI.V38I9.28848Markdown
[Patris et al. "Computing Nash Equilibria in Potential Games with Private Uncoupled Constraints." AAAI Conference on Artificial Intelligence, 2024.](https://mlanthology.org/aaai/2024/patris2024aaai-computing/) doi:10.1609/AAAI.V38I9.28848BibTeX
@inproceedings{patris2024aaai-computing,
title = {{Computing Nash Equilibria in Potential Games with Private Uncoupled Constraints}},
author = {Patris, Nikolas and Stavroulakis, Stelios and Kalogiannis, Fivos and Zhang, Rose and Panageas, Ioannis},
booktitle = {AAAI Conference on Artificial Intelligence},
year = {2024},
pages = {9874-9882},
doi = {10.1609/AAAI.V38I9.28848},
url = {https://mlanthology.org/aaai/2024/patris2024aaai-computing/}
}