normal form game

Noun

• Formally, a structure $(P,\; \backslash mathbf\{S\},\; \backslash mathbf\{F\})$ where P = {1,2, ...,m} is a set of players, $\backslash mathbf\{S\}=\; (S\_1,\; S\_2,\; \backslash ldots,\; S\_m)$ is an m-tuple of pure strategy sets, one for each player, and $\backslash mathbf\{F\}\; =\; (F\_1,\; F\_2,\; \backslash ldots,\; F\_m)$ is an m-tuple of payoff functions.