From the 1 of 5 linked papers with an AI index.
5 papers · 1 filter
Limit Theory for -Player -Potential Games
Xin Guo, Meng Wang, Yufei Zhang
The paper studies how finite‑player α‑potential games behave as the number of players grows, proving that the normalized potential functions converge to a mean‑field control proble…
Distributed games with jumps: An -potential game approach
Xin Guo, Xinyu Li, Yufei Zhang
Motivated by game-theoretic models of crowd motion dynamics, this paper analyzes a broad class of distributed games with jump diffusions within the recently developed -potentia…
Continuous-time mean field games: a primal-dual characterization
Xin Guo, Anran Hu, Jiacheng Zhang +1
This paper establishes a primal-dual formulation for continuous-time mean field games (MFGs) and provides a complete analytical characterization of the set of all Nash equilibria (…
An -potential game framework for -player dynamic games
Xin Guo, Xinyu Li, Yufei Zhang
This paper proposes and studies a general form of dynamic -player non-cooperative games called -potential games, where the change of a player's value function upon her unila…
Towards An Analytical Framework for Dynamic Potential Games
Xin Guo, Yufei Zhang
Potential game is an emerging notion and framework for studying N-player games, especially with heterogeneous players. In this paper, we build an analytical framework for dynamic p…