Growth versus security in dynamic investment analysis
Management Science - Focused issue on financial modeling
Growth-security investment strategy for long and short runs
Management Science
Optimal Betting Strategies for Simultaneous Games
Decision Analysis
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Partial-Kelly strategies, proposed because full-Kelly strategies that use log of fortune as utility were found to be too risky, are examined from the perspective of maximizing expected utility. The results are as follows: (1) there is no utility function that is independent of the risks it confronts and that exactly has partial-Kelly strategies as the optimal strategy; and (2) constant relative risk aversion utility, with the constant relative risk parameter equal to the reciprocal of the partial-Kelly parameter, is a good approximation to such a utility function, particularly when the investor's edge is small.