Definition:Strategic Game

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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 $A = \ds \prod_{j \mathop \in N} A_j$ of player $i$.

Also known as

Some sources, for example 1944: John von Neumann and Oskar Morgenstern: Theory of Games and Economic Behaviour, refer to a strategic game as a game in normal form.