On the purification of mixed strategies

Chaowen Yu (), Yuhki Hosoya () and Toru Maruyama ()
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Chaowen Yu: Department of Economics, Keio University
Yuhki Hosoya: Department of Economics, Kanto-Gakuin University
Toru Maruyama: Department of Economics, Keio University

Economics Bulletin, 2018, vol. 38, issue 3, 1655-1675

Abstract: 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 (search for similar items in EconPapers)
JEL-codes: C6 C7 (search for similar items in EconPapers)
Date: 2018-09-07
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Citations: View citations in EconPapers (1)

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