What is the fastest way to get to the long run in Blackjack?

[brh]

Exactly
The best way to have a low N0, is to bet a small fraction of Kelly, so small that resizing down on losses is rare. One wants to bet the same over and over and over..... Table max's force this anyway. Course hard to do that if you go broke.

Sorry BA,

It doesn't work that way. The value of N0 depends solely on the game, your count, your unit (ie 1-M) spread and your Wong point.

What fraction of your ekb (equivalent Kelly Bankroll) you are using to determine your betting unit makes no difference to N0.

That's just how things work.

Brett.

[brh]

It doesn't work that way. The value of N0 depends solely on the game, your count, your unit (ie 1-M) spread and your Wong point.
What fraction of your ekb (equivalent Kelly Bankroll) you are using to determine your betting unit makes no difference to N0.
That's just how things work.
Brett.

BA,

Sorry to sound a bit harsh, but I am getting a little tired of having to explain over and over again - its not your fault.

Again to quote this paper http://www.blackjackforumonline.com/...eads-howto.pdf :

I suggest you look at Equation 11:

Your Kelly bankroll doubling time is given by t = (0.693)/( k - k*k/2) * N0 rounds, which is minimised for k = 1,
where t = 1.39 x N0.

For k=>Sqrt(2)=1.41, your Kelly doubling time is infinite - effectively meaning you are overbetting
and you are guaranteed to lose your bankroll, period. If k=0 you are betting nothing and again your
doubling time is infinite.

If you are able to plot quadratic functions, look at y = k - k*k/2 and you will see what I mean.

As I said earlier N0 is determined ONLY by your count, your unit (ie 1-M) spread and your Wong point.

Your Kelly doubling rate depends on your Kelly fraction k and N0.

The only way you can decrease your Kelly time for a fixed fraction k = BANKROLL/EKB is to DECREASE N0.

N0 does NOT depend on either your Bankroll or EKB. N0 only depends on your UNIT 1-M spread and your Wong point.

Fiddling with your unit bet $B = k * BANKROLL/ekb, where ekb is your UNIT Equivalent Kelly Bankroll
( again only dependent on your UNIT 1-M spread and your Wong point ) cannot change N0.

So reducing your bet size will decrease your Kelly fraction k and reduce your Kelly growth.
Mucking around with your unit spread will only increase N0 and reduce your Kelly growth.

End of story.

Brett.

[brh]

Your Kelly bankroll doubling time is given by t = (0.693)/( k - k*k/2) * N0 rounds, which is minimised for k = 1,
where t = 1.39 x N0.

As I said earlier N0 is determined ONLY by your count, your unit (ie 1-M) spread and your Wong point.

Your Kelly doubling rate depends on your Kelly fraction k and N0.

The only way you can decrease your Kelly time for a fixed fraction k = BANKROLL/EKB is to DECREASE N0.

N0 does NOT depend on either your Bankroll or EKB. N0 only depends on your UNIT 1-M spread and your Wong point.

Fiddling with your unit bet $B = k * BANKROLL/ekb, where ekb is your UNIT Equivalent Kelly Bankroll
( again only dependent on your UNIT 1-M spread and your Wong point ) cannot change N0.

Brett.

Tthree,

Couldn't have put it better myself.

Just to complete the picture:

ROR = e ^(-2k) = e^(-2 *BANKROLL/EKB)

Where to quote the above:

"N0 does NOT depend on either your Bankroll or EKB."

There "k" or "ROR" does NOT depend on "NO".

As Tthree said, change your ROR to your heart's content, it will only change your unit bet $B,
which when converted to a $B * ( 1 - M ) betting scheme will only change N0 by a small amount
after rounding the resulting betting values.

Brett.