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The value of $C = \sqrt 2$ was shown to ensure the asymptotic optimality when rewards are in the $[0,1]$ range (Kocsis, Szepesvári, 2006). In many games, that reward range is straightforward: maximum and minimum possible scores can be translated to 0 and 1 (0 could mean a loss and 1 a win). The accuracy of this squashing seems to have a minimal impact (...

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