Lexic.us

Definition of Normal form game

1. Noun. (game theory) 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. ¹

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