normal form game

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