normal form game

{{game theory}} Formally, a structure <math> (P, \mathbf{S}, \mathbf{F}) </math> where ''P'' = {1,2, ...,''m''} is a set of players, <math>\mathbf{S}= (S_1, S_2, \ldots, S_m) </math> is an ''m''-tuple of pure strategy sets, one for each player, and <math> \mathbf{F} = (F_1, F_2, \ldots, F_m) </math> is an ''m''-tuple of payoff functions.