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On the Extensive Number of Plays to Achieve Superior Performance with the Geometric Mean Strategy


  • Donald C. Aucamp

    (School of Business, Southern Illinois University at Edwardsville, Box 1100, Edwardsville, Illinois 62026)


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.

Suggested Citation

  • Donald C. Aucamp, 1993. "On the Extensive Number of Plays to Achieve Superior Performance with the Geometric Mean Strategy," Management Science, INFORMS, vol. 39(9), pages 1163-1172, September.
  • Handle: RePEc:inm:ormnsc:v:39:y:1993:i:9:p:1163-1172

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    Cited by:

    1. MacLean, Leonard C. & Sanegre, Rafael & Zhao, Yonggan & Ziemba, William T., 2004. "Capital growth with security," Journal of Economic Dynamics and Control, Elsevier, vol. 28(5), pages 937-954, February.
    2. repec:kap:rqfnac:v:50:y:2018:i:1:d:10.1007_s11156-017-0621-5 is not listed on IDEAS


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