No. is the cardinality of set . If then this is not a finite 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?