For example, as long as your bankroll is over $7,312.50 you'd play 10 coin quarter FPDW, if your bankroll is between $7,312.50 and $3,656.25 you'd play 5 coin quarter FPDW, if your bankroll is between $3,656.25 and $1,462.50 you'd play 10 coin nickel FPDW, if your bankroll is between $1,462.50 and $731.25 you'd play 5 coin nickel FPDW, below $731.25 you'd have to stop and return to your day job to build your gambling bankroll back up. You would never bust out, but you might have to quit gambling and go back to work at some point. By using the Kelly system to define your stop limits, you would be optimizing bankroll growth, for the bet sizes you have available.
---In vpFREE@yahoogroups.com, <nightoftheiguana2000@...> wrote:
In the real world bet sizing is always discrete, even if it's at the penny level. In the case of FPDW you might have a choice of $2.50, $1.25, $.50, $.25. One of those sizes is more Kelly optimal than the rest for a given bankroll. Multicoin and Multiplay games often provide even more choices of bet size, though not very often for FPDW.
---In vpFREE@yahoogroups.com, <eecounter@...> wrote:
---In vpFREE@yahoogroups.com, <nightoftheiguana2000@...> wrote:
Jean wrote: "There is never a zero chance of going broke."
"With the Kelly system there is zero chance of going broke, and a very reduced risk of bankroll depletion....."
Well, not exactly. The Kelly system does promise a zero chance of going broke, but only if you can continually resize your bets downward if you start to lose. Betting strictly according to the Kelly system requires a re-sizing of bets after every change in bankroll size, even down to fractions of a penny bets if you run particularly bad. (All of this assumes you have an advantage. The Kelly bet size for a negative expectation bet is $0.)
In the real world, this kind of bet re-sizing just isn't possible, particularly with VP. If you start out with some fixed amount of money, *and you maintain a fixed bet level*, you definitely have a non-zero chance of going broke, no matter how much money you start out with.
On the positive side, if you start out with a large enough bankroll relative to bet size, and a strong enough advantage, then we might be able to say your chance of going broke is "just about impossible", even if you can't re-size bets downward.
EE
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