Non-Potential Mean Field Games: A New Frontier in Game Theory
In the realm of game theory, a non-potential mean field game (NPMFG) stands as a novel concept that has captured the attention of researchers and practitioners alike. An NPMFG is a dynamic game in which a large number of players interact strategically, considering both their individual objectives and the aggregate behavior of the entire population. Unlike traditional mean field games, NPMFGs introduce a unique twist: the absence of a potential function that represents the collective behavior of the players. This absence introduces a new level of complexity and richness to the game’s dynamics.
