Definition:Strategic Game
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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 $A = \ds \prod_{j \mathop \in N} A_j$ 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.
Sources
- 1994: Martin J. Osborne and Ariel Rubinstein: A Course in Game Theory ... (previous) ... (next): $1.2$: Games and Solutions
- 1994: Martin J. Osborne and Ariel Rubinstein: A Course in Game Theory ... (previous) ... (next): $2.1$: Strategic Games: Definition $11.1$