Optimal bankroll growth
If 300 BB's is the "optimal" bankroll (an assumption I don't necessarily hold), then for optimal growth of the bankroll, one should continually resize their bets to match their changing bankroll. i.e., if the bankroll drops by 50%, then the bets should drop by 50%. If the bankroll grows by 50%, then the bets should increase by 50%. Ideally, this changing of bets should occur after every session but of course this isn't practical since betting limits are predefined - $.50, $1, $2, $3, $5, etc.
Example: bankroll is $1200 thus indicated game is $2/4. If bankroll drops to $900, then ideally the game should be $1.50/3.00 but there is no such game so keep at 2/4 until bankroll drops to $600 then cutback to $1/2. If bankroll grows and reaches $1800 then jump to $3/6, etc.
If the fractional betting limits were available and the bets resized after every hand, this would theoretically be the fastest way to grow your bankroll so the best practical idea would be to follow this model as closely as possible. This assumes the 300 BB rule, of course.
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