# normal form game

1. (game theory) Formally, a structure ${\displaystyle (P,\mathbf {S} ,\mathbf {F} )}$ where P = {1,2, ...,m} is a set of players, ${\displaystyle \mathbf {S} =(S_{1},S_{2},\ldots ,S_{m})}$ is an m-tuple of pure strategy sets, one for each player, and ${\displaystyle \mathbf {F} =(F_{1},F_{2},\ldots ,F_{m})}$ is an m-tuple of payoff functions.