# Thread: Definition of finite strategic game

1. ## Definition of finite strategic game

Hello, I'm just trying to make it clear that what a finite strategic game is.
The definition of it in my book has this form:
Let G be a strategic game. We say that G is a finite game if, for each player i, |Ai|<, where Ai is the strategy set of player i.

If I let Ai be a subset of Rn, does |Ai| mean the measure of Ai in Rn?
For instance, if Ai=[0,1], an interval of R for all i, then is G a finite game?

2. ## Re: Definition of finite strategic game

No. $|A_ix|$ is the cardinality of set $A_i$. If $A_i= [0, 1]$ then this is not a finite game.

3. ## Re: Definition of finite strategic game

A finite strategic game is a static model that describes interactive situations among several players.