Purification, saturation and the exact law of large numbers

Jianwei Wang () and Yongchao Zhang ()

Economic Theory, 2012, vol. 50, issue 3, 527-545

Abstract: Purification results are important in game theory and statistical decision theory. We prove a new purification theorem that generalizes several earlier results. The key idea of our proof is to make use of the exact law of large numbers. As an application, we show that every mixed strategy in games with finite players, general action spaces and diffused, conditionally independent incomplete information has many strong purifications. Copyright Springer-Verlag 2012

Keywords: Exact law of large numbers; Fubini extension; Incomplete information; Purification; Saturated probability space; C60; C70 (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (12)

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Working Paper: Purification, Saturation and the Exact Law of Large Numbers (2010)
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DOI: 10.1007/s00199-010-0593-3

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