Good and Bad Properties of the Kelly Criterion

We summarize what we regard as the good and bad properties of the Kelly criterion and its variants. Additional properties are discussed as observations…

[1]  Robert M. Bell,et al.  Competitive Optimality of Logarithmic Investment , 1980, Math. Oper. Res..

[2]  William T. Ziemba,et al.  Time to wealth goals in capital accumulation , 2005 .

[3]  J. Mossin Optimal multiperiod portfolio policies , 1968 .

[4]  E. Thorp Portfolio Choice and the Kelly Criterion , 1975 .

[5]  Donald C. Aucamp On the extensive number of plays to achieve superior performance with the geometric mean strategy , 1993 .

[6]  W. Ziemba,et al.  The Effect of Errors in Means, Variances, and Covariances on Optimal Portfolio Choice , 1993 .

[7]  Peter A. Griffin Different Measures of Win Rate for Optimal Proportional Betting , 1984 .

[8]  W. Ziemba,et al.  Growth versus security in dynamic investment analysis , 1992 .

[9]  William T. Ziemba,et al.  Growth versus security tradeoffs indynamic investment analysis , 1999, Ann. Oper. Res..

[10]  Compound-Return Mean-Variance Efficient Portfolios Never Risk Ruin , 1975 .

[11]  P. Samuelson The "fallacy" of maximizing the geometric mean in long sequences of investing or gambling. , 1971, Proceedings of the National Academy of Sciences of the United States of America.

[12]  S. Tavaré,et al.  THE PROPORTIONAL BETTOR'S RETURN ON INVESTMENT , 1983 .

[13]  N. H. Hakansson. ON OPTIMAL MYOPIC PORTFOLIO POLICIES, WITH AND WITHOUT SERIAL CORRELATION OF YIELDS , 1971 .

[14]  W. Ziemba,et al.  Capital growth with security , 2004 .

[15]  M. Finkelstein,et al.  Optimal strategies for repeated games , 1981, Advances in Applied Probability.

[16]  T. Cover,et al.  Game-theoretic optimal portfolios , 1988 .

[17]  J. G. Kallberg,et al.  Mis-Specifications in Portfolio Selection Problems , 1984 .

[18]  E. Thorp,et al.  The Capital Growth Model: An Empirical Investigation , 1973, Journal of Financial and Quantitative Analysis.

[19]  Thomas M. Cover,et al.  Elements of Information Theory , 2005 .

[20]  V. K. Chopra Improving Optimization , 1993 .

[21]  S. Ethier The Kelly system maximizes median fortune , 2004 .

[22]  T. Cover,et al.  Asymptotic optimality and asymptotic equipartition properties of log-optimum investment , 1988 .