Editing Glossary of game theory (section)

===Normal form game===
A game in normal form is a function:
:<math> \pi\ : \prod_{i\in \mathrm{N}} \Sigma\ ^ i \to \mathbb{R}^\mathrm{N}</math>

Given the ''tuple'' of ''strategies'' chosen by the players, one is given an allocation of ''payments'' (given as real numbers).

A further generalization can be achieved by splitting the '''game''' into a composition of two functions: 
:<math> \pi\ : \prod_{i \in \mathrm{N}} \Sigma\ ^i \to \Gamma</math>
the '''outcome function''' of the game (some authors call this function "the game form"), and:
:<math> \nu\ : \Gamma\ \to \mathbb{R}^\mathrm{N} </math>
the allocation of '''payoffs''' (or '''preferences''') to players, for each outcome of the game.