How to Base Probability Theory on Perfect-Information Games

نویسندگان

  • Glenn Shafer
  • Vladimir Vovk
  • Roman Chychyla
چکیده

The standard way of making probability mathematical begins with measure theory. This article reviews an alternative that begins with game theory. We discuss how probabilities can be calculated game-theoretically, how probability theorems can be proven and interpreted game-theoretically, and how this approach differs from the measure-theoretic approach.

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عنوان ژورنال:
  • Bulletin of the EATCS

دوره 100  شماره 

صفحات  -

تاریخ انتشار 2010