Originally Posted by
Three
If you don't give a count you need to give a max bet advantage. Also you don't say effect on what compared to what. By proportional and optimal, are you meaning the ratio of max bet to waiting bet is 12:1 but the bets in between can be anything? I assume you mean kelly betting by proportional optimal betting.
I will give many things to compare it to. Each bets the optimal bet at each TC if it is between the betting restrictions.
For S17 SP21, always playing one spot and the traditional use of information gathered for level 3 betting count from combining two balanced counts:
1) Unrestricted betting and only playing with an advantage, max bet at TC +9:
Bet spread: $12-$326
W/L: 2.27%, $58.08/100 rounds observed, $175.50/100 rounds played
SD: 2.984, $761.87/100 rounds observed, $1324.49/100 rounds played
n0: 17,208
c-SCORE: 58.11
BR required for 1% RoR: $23,012
2) Unrestricted betting and playing all TC -1 or more, max bet at TC +9:
Bet spread: $12-$326
W/L: 1.90%, $56.58/100 rounds observed, $83.27/100 rounds played
SD: 2.580, $766.45/100 rounds observed, $929.85/100 rounds played
n0: 18354
c-SCORE: 54.49
BR required for 1% RoR: $23,909
3) Restrict max bet at 12 times the waiting bet (TC +6 or higher) and only playing with an advantage, max bet at TC +9:
Bet spread: $12-$144
W/L: 1.88%, $39.63/100 rounds observed, $119.50/100 rounds played
SD: 2.615, $550.73/100 rounds observed, $957.35/100 rounds played
n0: 19314
c-SCORE: 51.78
BR required for 1% RoR: $17,623
4) Restrict max bet at 12 times the waiting bet (TC +6 or higher) and only playing TC -1 or higher, max bet at TC +9:
Bet spread: $12-$144
W/L: 1.51%, $38.12/100 rounds observed, $56.11/100 rounds played
SD: 2.207, $557.05/100 rounds observed, $675.79/100 rounds played
n0: 21349
c-SCORE: 46.84
BR required for 1% RoR: $18,741
I hope you can see what you are looking for from these possibilities. TC +5 would be different for your count so I used the count at which the max bet restriction would be bet at that amount. TC +5 is 88.89% of that 12:1 maximum bet. This allows you to see the effect of adding the tolerable disadvantage bets TC -1 or higher to betting optimally, of restricting top bet to 12 times your waiting bet, and any combinations of the two for any statistic listed.
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