CoopetitionELO - Revision history

XeryusTC at 22:28, 26 August 2006

2006-08-26T22:28:08Z

Osai: added the %k_factor for rating <=800

2006-08-22T14:16:46Z

added the %k_factor for rating <=800

Osai at 13:55, 22 August 2006

2006-08-22T13:55:12Z

Osai at 13:51, 22 August 2006

2006-08-22T13:51:37Z

Osai: added to R&D Category

2006-08-22T13:50:46Z

added to R&D Category

Osai: adjusted table

2006-08-22T13:50:01Z

adjusted table

Osai at 13:46, 22 August 2006

2006-08-22T13:46:33Z

New page

To get a fair ranking we are using the ELO-Rating which is very popular, well-known and used in sports like Chess and Go.

The Calculation-Routine
<pre>
function '''new_ELO_rating'''($team1_score, $team1_rating, $team2_rating)
{
$k_factor = 32;
$rating_expected = 1 /(1+10^(($team2_rating-$team1_rating)/400));
$new_rating = $team1_rating + ($k_factor * ($team1_score - $rating_expected));
return $new_rating;
}
</pre>

$team1_score: 1 (win), 0,5 (draw), 0 (lost)
$team1_rating: the old rating of team1
$team2_rating: the old rating of team2

How much points a team gain or loose depends on the expected rating:
I.e. Garri Kasparow (Elo: 2806) looses against Zsuzsa Polgar (Elo: 2577), its expected that Garri Kasparow wins with 0,789 (=78,9%)
In the next step he will loose more points, because it was more expacted he wins!
How many points he will loose depends on the $k_factor, the $k_factor changes with the stats (games played, rating) of a player/team.
The FIDE made some proposals for this $factor some time ago, which DON'T fit to our ladder, instead we will use our own $k_factor's

Here are our owns:
{|
!Ratings
!$k_factor
|-
|<1200
|32
|-
|>= 1200
|24
|-
| >= 1400
|16
| >= 1600
| 8
|}

← Older revision		Revision as of 22:28, 26 August 2006
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	\|}		\|}

−	[[Category:~~Research~~]]	+	[[Category:Coopetition]]

@@ Line 42: / Line 42: @@
 | 8
 |-
 |}
 [[Category:Research]]

← Older revision		Revision as of 13:50, 22 August 2006
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	\|-		\|-
	\|}		\|}
		+
		+	[[Category:Research]]

@@ Line 3: / Line 3: @@
 The Calculation-Routine
 <pre>
-function '''new_ELO_rating'''($team1_score, $team1_rating, $team2_rating)
+function new_ELO_rating($team1_score, $team1_rating, $team2_rating)
+{
 	$k_factor = 32;

@@ Line 13: / Line 13: @@
 $team1_score: 1 (win), 0,5 (draw), 0 (lost)
 $team1_rating: the old rating of team1
 $team2_rating: the old rating of team2
 How much points a team gain or loose depends on the expected rating:

@@ Line 23: / Line 23: @@
 Here are our owns:
-{|
+{| width="200px"
 !Ratings
 !$k_factor
@@ Line 35: / Line 35: @@
 | >= 1400
 |16
 | >= 1600
 | 8
 |}