Kasi said:
But I don't think there's necessarily a huge differance between 1-2 and 1-4. What might change is your unit size - like maybe it might be $100-200 but then it might be $75-$300 with same risk. Probably a flat bet would be >$100. And you wouldn't be making the same unit increases at the same counts either.
I guess ultimately each way is a little different way to bet one's money. But flat-betting might require the smallest number of units in a roll while keeping ROR the same if roll is a major consideration.
i think you kinda just answered your own statement if it's even possible to do that
we were comparing flat betting vs bet ramping, and if your playing by wonging in at say +2, i think a 1-4 ramp is very doable.
now, you can use either flat betting or bet-ramping to maintain a desired ROR for a given bankroll in DOLLARS. the whole point is that flat betting vs ramping just determines your "unit" size and thus the number of units available for a given BR size in dollars, as you pointed out in your post. BUT we are never interested in preserving/growing our "units", we are interested in preserving/growing our BR in dollars, so the number of units available is kind of a non-issue. what i'm getting at is that whether playing by flat betting or ramping you can achieve a similar ROR by sizing your unit properly as you agree above.
BUT (to the crux of the issue!) by ramping your bets (even if your "unit" size is now smaller than the flat bet "unit" size), you can achieve the "long run" faster. take for instance a 75% pen, good rules 6Der - if you flat bet while wonging in/out at +2, your N0 is probably somewhere around 350 hours. now if you ramp your bets from 1-4, even though your unit size probably drops by 10-50% (depends on how optimally you ramp your bets), your N0 probably drops to right around 250 hours. So, just by ramping, while maintaining the same ROR for a given BR in dollars, you have cut a standard measure of the long run by right around 100 hours. That looks mighty good to me!
EDIT: even while playing in negative EV situations (say, wonging in/out at -2), if you spread enough, like 1-12, you can achieve a lower N0 than with flat betting while wonging in/out at +2!