a) Does BJRM calculate RoR assuming that you never change your betting levels from the initial optimal ones as your bank fluctuates?

b) If it does, how do you calculate RoR assuming that you always bet optimally? Wouldn't it be zero (assuming that you could bet down to fractions)? After all, if you're only betting a fraction of your bank each time, you would have to play a number of hands that approaches infinity for your bank to approach zero. Granted, in reality, you've busted if you're bank is less than a dollar, but I'm guessing the odds of that happening must be low if you start with, say, $25K and always bet optimally (and play with a positive edge, of course).

c) In the SCORE section in BJA3, the scenario of four friends playing different games assumes that after determining an optimal bet schedule, they never change the schedule as their bank fluctuates. That's not what you're actually supposed to do, is it? I'm guessing that the unchanging bet schedule was for calculating SCORES; when you actually play, you're always supposed to bet optimally, right?

Don, some more help, maybe?