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Math Help - Definition of finite strategic game

  1. #1
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    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?
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  2. #2
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    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.
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  3. #3
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    Re: Definition of finite strategic game

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