@article{Yi2022, author = {Peng Yi and Jinlong Lei and Xiuxian Li and Shu Liang and Min Meng and Jie Chen}, title = {A Survey on Noncooperative Games and Distributed Nash Equilibrium Seeking over Multi-Agent Networks}, year = {2022}, journal = {CAAI Artificial Intelligence Research}, volume = {1}, number = {1}, pages = {8-27}, keywords = {distributed computation, Nash equilibrium, multi-agent systems, cyber-physical systems, noncooperative games, optimization and decision making}, url = {https://www.sciopen.com/article/10.26599/AIR.2022.9150002}, doi = {10.26599/AIR.2022.9150002}, abstract = {The work gives a review on the distributed Nash equilibrium seeking of noncooperative games in multi-agent networks, which emerges as one of the frontier research topics in the area of systems and control community. Firstly, we give the basic formulation and analysis of noncooperative games with continuous action spaces, and provide the motivation and basic setting for distributed Nash equilibrium seeking. Then we introduce both the gradient-based algorithms and best-response based algorithms for various type of games, including zero-sum games, aggregative games, potential games, monotone games, and multi-cluster games. In addition, we provide some applications of noncooperative games.} }