OK, simple Kelly strategy:
1. What is your bankroll? Another name for this is your stop limit, if
you don't have one, you have a gambling addiction, see
http://www.gamblersanonymous.org/20questions.html . And it's not your
daily stop limit, more like your annual stop limit, how much money are
you actually willing to lose in one year of play? Because no matter
how favorable the gamble, if you are gambling (playing odds) there is
always a chance of losing your bankroll.
2. What is the Kelly number for the game you're considering playing?
The Jazbo link has a perl script that will exactly calculate it for
any game, but you can also estimate it: Kelly=
Variance/(ER-1+Cashback), for example, for NSUD +1% cashback,
Kelly=26/(.997-1+.01)=3714.
3. What is your optimum bet size? Take your bankroll and divide by the
Kelly number and that is your optimum bet size. For example, if your
bankroll was $5000: 5000/3714=$1.35 . You should never overbet kelly,
but you could underbet. In this case you could play a 5 coin quarter
game because that bet would be $1.25 .
4. Max-ER strategy will work, Min-ROR is probably safer, optimum is
somewhere inbetween those two and will vary slightly as your bankroll
changes.
5. What are your alternative plays, up and down in bet size? Because,
as you play, your bankroll will change, either up or down, and
therefore your optimum Kelly bet will change - at some point you
should switch to one of your alternatives. For example, if 10 coin
dimes is available, bet size = $1.00, then if your bankroll falls to
that level, that is the game you should be playing, likewise for 10
coin quarters if your bankroll should grow.
That's it. If you know your bankroll, Kelly number (or estimate using
variance/advantage), then you know your optimum play (which could be
not to play), and you can generate your optimum strategy which will be
somewhere between Max-ER and Min-ROR. Of course bankroll changes with
play, so iteration is required.
···
--- In vpFREE@yahoogroups.com, nirav shastri <nirpam@y...> wrote:
Thanks for your reply. I read the reference and could
not make out much of the math. Though I understand
the concept somewhat, I am not sure what it means in
actual numbers or recommendations. My questions as
below are still not clarified. Maybe someone can
transform the Kelly strategy to actual "nuts and
bolts"?!!
Thanks for your help.
--- nightoftheiguana2000
<nightoftheiguana2000@y...> wrote:
> --- In vpFREE@yahoogroups.com, "nirpam"
> <nirpam@y...> wrote:
> > Q Say you have a "budget" of 10,000 $ to play and
> you obviously want
> > to win and maybe get comps too. What is the ideal
> strategy ? Which
> > type of video poker will you play ? Obviously this
> is assuming there
> > is no full pay around. I live in KC and play at
> Ameristar etc. Any
> > local recommendations are welcome.
>
> If your goal is optimum bankroll growth, then Kelly
> strategy:
>
> http://www.bjmath.com/bjmath/kelly/kellyfaq.htm
> Q1: What is wrong with maximizing your expected
> winnings?
> A1: Although at first glance it seems obvious that
> it is best to
> maximize the expected (i.e., predicted average)
> amount of your
> winnings, this is in fact not true for most people.
> If this were
> really your goal then whenever you had the slightest
> advantage you
> would mortgage your house, car, and boat and bet
> your entire fortune.
> Although this gives you the greatest net win, on
> average, this is
> entirely too risky for most people.
>
> http://www.jazbo.com/videopoker/kelly.html
>
>
>
>
>
>
__________________________________________________
Do You Yahoo!?
Tired of spam? Yahoo! Mail has the best spam protection around
http://mail.yahoo.com