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Mike H: SCORE vs. WinRate
Can someone explain what SCORE is? I understand each game has to have the the specific # players, Illustrious 18 indices, full Kelly bet etc. Is it just the DI squared? How do you calculate DI (Desirability Index)? Does SCORE have anything to do with WinRate or Win/100? THANKS.
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Don Schlesinger: Re: SCORE vs. WinRate
> Can someone explain what SCORE is?
BJA3, pp. 151-183. Do you have the book? I'm assuming no, or you wouldn't have asked. :-)
There are many assumptions, but, in a nutshell, you take a $10,000 bank and bet optimally for a specific game, without varying your approach as bank fluctuates. SCORE is the hourly win rate you will attain from betting thusly.
Mathematically, it is the square of the risk-adjusted return, which I called the DI (Desirability Ratio) of the game, and which is mathematically equivalent to the economic principle of the Sharpe ratio -- the win rate divided by the standard deviation, to adjust for risk.
> I understand each
> game has to have the the specific # players,
> Illustrious 18 indices, full Kelly bet etc.
Right.
> Is it just
> the DI squared?
Oh, I guess I should have read the entire question before answering! Nasty habit of mine :-) So, you know more than I assumed you did. :-)
> How do you calculate DI (Desirability
> Index)?
Hourly win rate (100 rounds per hour) divided by hourly standard deviation.
> Does SCORE have anything to do with WinRate or
> Win/100? THANKS.
It will turn out to be the hourly win rate, per 100 hands seen or played, if you respect all of the conditions set upon playing and betting, some of which you mentioned above.
Don
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