Score contribution per author:
α: calibrated so average coauthorship-adjusted count equals average raw count
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