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Chaowen Yu, Yuhki Hosoya and Toru Maruyama
''On the purification of mixed strategies''
( 2018, Vol. 38 No.3 )
We try to examine examples in Aumann et al. (1983) which illuminate the impossibility of purification in a more readable setup. We also provide a rigorous proof of the possibility of approximate purifications that is suggested in Aumann et al. (1983). Further, the relationship between the concept of "conditionally atomless" and that of "weakly conditionaly atomless" is clarified.
Keywords: exact purification, approximate purification, conditionally atomless, Prohorov metric, Wiener's theorem
C6 - Mathematical Methods and Programming: General
Manuscript Received : Dec 20 2017 Manuscript Accepted : Sep 07 2018

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