On the Extensive Number of Plays to Achieve Superior Performance with the Geometric Mean Strategy
通过理论和证据表明，在风险较高的情况下，遵循几何平均策略需要非常多的游戏次数才能在长期中几乎必然超越其他策略；但在风险较低时，该策略可以在中等次数内实现“几乎主导”。
The advantages of the Geometric Mean or Log Strategy have been well documented and recommended by many because a follower of this strategy will ultimately outperform in the long-run any other significantly different strategy, almost surely. This paper provides both theory and evidence to indicate that the “long-run” can be quite long in risky situations. These cases are typified by many business ventures and undiversified speculative investments in OTC securities. On the other hand, it is shown that the Log Strategy can “virtually dominate” in a moderate number of plays in cases when risk is low.