Definition:Profile

Definition
Let $G$ be a game.

Let $N$ be the set of players of $G$.

Let $V$ be a variable defining some aspect of each of the players.

The family of values of $V$ is referred to as a profile, denoted:


 * $\left\langle{x_i}\right\rangle_{i \mathop \in N}$

If the fact that $i \in N$ is understood, then $\left\langle{x_i}\right\rangle$ can be used.