Definition:Strategic Game

Definition
A strategic game is a game in which:
 * $(1): \quad$ Each player chooses a strategy once per play
 * $(2): \quad$ The move(s) of each player operates simultaneously. That is, when choosing a move, each player has any information about the move that another player will make.

It consists of:
 * A finite set $N$ of players
 * For each player $i \in N$, a non-empty set $A_i$ of moves available to player $i$
 * For each player $i \in N$, a preference relation $\succsim_i$ on $A = \displaystyle \prod_{j \mathop \in N} A_j$ of player $i$.

Also known as
Some sources, for example, refer to a strategic game as a game in normal form.