Guynoire said:
What is the best method to compound your bet, change the bet based on increases or decreases in the bankroll. I know the Kelly Criterion says you should compound your bet continuously, but that's impossible. What is a practical alternative? Every 5%, 10%, 25%?
No right answer and would be heavily dependent on how you are playing what game in the first place.
Just deciding the Kelly bet in the first place is already a compromise of only being able to bet in whole dollar amounts or, practically speaking, $5 increments.
So, if your betting ramp is maybe 10, 20, 30, 40, 50 and your bankroll increases 25%, I'd consider the effect of whether you will change your $10 bet to $15 or not, whether you might go to $35 or $40 instead of 30, or what your max bet might now be. Keeping in mind that it is likely your advantage is smaller at the lower TC's but they will occur more frequently.
Basing any increase on only one's max bet which occurs least frequently without regard to changing the original ramp at the TC+1 to TC+3 counts
might lead to a different ROR than you might think you are playing to.
If I did this stuff, I doubt if I'd change a thing until I at least doubled my bankroll.
Maybe real counters have better ideas.