stock777:
Can it be proven, that any betting methodology can predictably enhance the return of any system? Again, I'm speaking of methods other than the maximum efficent use of capital as in a Kelly system.
Yes, there is a methodology to enhance the return of any system with a positive expectation, assuming that the probability of success is known or can be approximated. For example, in Blackjack you bet more when there are more higher cards remaining in the deck, and bet less when there are fewer cards in the deck. Both Kelly Criterion and optimal f are methodologies to accomplish this. If you applied this to BlackJack where the probabilities are known at all times, you will receive the same statistical result over time.
The difficulty with applying any sort of variable position/bet sizing strategy to trading is that you are never sure what your probability of success will be on your very next trade. The best that you can do is to approximate based on historical results. This is the heart of the problem.
If a method returns 10% on invested capital, how do you get more than that out of it? All you can do is invest the maximum amount possible over time without going broke during losing streaks. Any other fiddling will either introduce additional RISK to the method, which may enhance OR reduce profits.
Another technique that is used I mentioned previously is to use 'optimal f', an offshoot of Kelly, and then factor 'optimal f' to your preferred risk tolerance. You do not need a mechanical trading system to determine optimal f. You can use the results of your discretionary trading over time because optimal f is just looking at your risk profile. For example, if the 'optimal f' on your system is 0.4, and you have $100k equity, it would be obviously foolish to bet $40k on your next trade. If your risk tolerance is 4% equity risk on any one trade, then use a factor of 0.04. So at $100k you would be $4k, if your account grew to $120 then bet $4.8k, if it dropped to $80k then bet $3.2k.
However, keep in mind that optimal f is designed for normal and stable distributions. If your trading results in the future are not likely to be anything similar than your trading results in the past, don't use optimal f. While no one ever knows if future performance will be anything like past performance, with many systems trading approaches you can be reasonably assured that your results will be similar within a certain confidence level. Just like trading is all about probabilities, so is using a variable position/bet sizing strategy.
If there's some other holy grail of money management, I haven't yet absorbed it.
You're right, there isn't a holy grail of MM in trading because there is no holy grail way to know your chances of success on any one trade. The more accurate you can forecast your risk factors for each trade, the better you can improve your trading results.
Hope that helped.