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Keygen
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Athens, Hellas
Jan 2000 time: 07:13
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Lungmatch 2.2 Turn 29
1. Swissy
2. Keygen
3. Solver
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quinns
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Thanks Birdman for trying to make the formula better. What formula are you using to calculate the ratings? The numbers that I show for ratings are the BEFORE ADJUSTMENT ratings of the players. The Delta is the change. And you're right, I don't show the new rating after adjustment, I know that is confusing, but I thought it would clutter up an already complex looking report.
Edit: I see what you mean now Birdman. Yes we could do that, and maybe that would be fairer. I would have to BACK RATE all of the ratings before commencing with this and write a new program, (mucho trabajo -- much work ). If we have a strong concensus to do this, I could muster up the effort, I think.
The formulas I use have nothing to do with tennis. They are just straight forward formulas which cause a fair "bell shaped" rating adjustment dependant upon the difference in players' ratings. Here they are again. I hope this alleviates your skepticism of the fairness of these formulas.

Ratings Formulae
Formula 3.
Probability of Lower Rated Player winning:
PROBABILITY = 1 /(2 + (HighRated - LowRated)²)
Verbose --> the probability of the lower rated player winning is equal to the value of 1 divided by the sum of the value of 2 plus the square of the difference between the higher player's rating minus the lower player's rating.
Example: If a player rated 20.000 plays a player rated 18.000 then:
PROBABILITY = 1 / (2 + (20 -18)²) = 1/6
That is, the Probability = 1/6 or 0.166667 that means that the player rated 18 has a 16.667 percent chance of winning.
Formula 4.
If the Higher Rated Player wins then:
CHANGE = Probability of Lower Rated Player winning divided by two (2)
Formula 5.
If the Lower Rated Player wins then:
CHANGE = (One (1) minus Probability of Lower Rated Player winning) divided by two (2)
------
Examples of using Formulas 4 and 5:
Example: From the above example, the Probability of the Lower Rated Player winning is 0.166667.
If the player rated 20 wins then:
CHANGE = 0.166667 / 2 = 0.083 (rounded to 3rd decimal place)
So that: New 20-rated player rating = 20 + 0.083 = 20.083
and: New 18-rated player rating = 18 - 0.083 = 17.917
If the player rated 18 wins then:
CHANGE = ( 1 - 0.166667) / 2 = 0.417
So that: New 20-rated player rating = 20 - 0.417 = 19.583
and: New 18-rated player rating = 18 + 0.417 = 18.417
[This message has been edited by quinns (edited May 03, 2001).]
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quinns
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Alright Blackice. I will not continue to try to convince you, though I value your opinion on this system. I will apply your penalty for switching from rated to unrated, (via the Elimination Rule above), and remove you from the list, per your request.
I still believe that our CTP PBEM Rating System is much fairer than the GameLeague system regarding drops in ratings. For example, a player rated 20.000 in our system could NEVER lose anymore than 1/2 a point to someone rated even as low as 1.000. That is a maximum drop of only 2.5% in ratings for a losing in a single game to a single player. Not true in GameLeague where a 1500 rated player could potentially lose up to 300 points, 20% of their total by playing, and losing to, a lower rated player.

Edit: And Ice, when I said they have nothing to do with tennis, I meant that the formulas are not based upon tennis. Yes, I used the same formulas, (that I created originally -- i.e. I personally own and developed World Tennis Ratings), for the tennis ratings site as well, but they have nothing to do with tennis, per se, and are strictly based upon mathematical probability, only.
[This message has been edited by quinns (edited May 03, 2001).]
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The True Demosthenes
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London, UK
Feb 2000 time: 05:13
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Lungmatch 3.2 Powergraph Ratings
Turn 19
1. Birdman
2. The True Demosthenes
3. Mobius
The original post was incorrect.
------------------
Cariad,
Demosthenes.
_____
www.polthought.freeserve.co.uk
[This message has been edited by The True Demosthenes (edited May 09, 2001).]
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420
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ohio,usa
Oct 2000 time: 05:13
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turn 29 for youngbloods
berXpert
Kralj Matjaz
Blackice
420
Darth Viper
Pheonixcager
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quinns
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Thanks Paul, that would have been a pain to fix.
Solver, please delete your post above to prevent me from double posting this result. Thanks.
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Keygen
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Athens, Hellas
Jan 2000 time: 07:13
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Youngblood Gathering Turn 19
1. berXpert
2. 420
3. (Blackice)
4. Saddam
5. Yeti
6. Phoenixcager
Quinns, change Steve5304 to Saddam and Vitlog to Vitolg.
Thanks
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quinns
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Thanks for the corrections Keygen. Done.
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Keygen
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Athens, Hellas
Jan 2000 time: 07:13
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High Voltage Turn 19
1. berXpert
2. (Blackice)
3. jpww
4. PN
5. Dugrik
6. eohian
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All times are GMT. The time now is 05:13. Apolyton Time is 00:13. |
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