In order to inspire and encourage renjuplayers all over
the world to make good results in important Renju tournaments, and in many
cases distinguish players for qualification to international tournaments,
an international system with internal rankings between renjuplayers from
the whole world is introduced.
GENERAL ASSEMBLY 1995
#1. To achieve an estimation of quality of a players
momental playing strength a system with individual coefficients (rating)
is used, an adapted variant of professor Arpad Elo's system.
#2. The official international rating coefficients
for all renjuplayers are calculated three times per year  April 30,
August 31, and December 31  by the International Qualification Commission
in R.I.F.
The rating is based on results from individual games
between players in renju tournaments with direct play, and with a minimum
time access of 60 minutes per player and game, and with no time limit to
watch before 60 minutes.
Following types of tournaments will entitle to international rating:

World Championships (WC) finals

International Qualification Tournaments for WCfinals

Open International Tournaments in connection with WC

National qualification tournaments for WC in R.I.F. member countries (though
not the countries regional qualifications)

European Championships

Other open international renju tournaments, sanctioned by R.I.F. Central
Committee.

National Championships in R.I.F. member countries, final tournaments

Some other important tournaments of national character, which the R.I.F.
CC may decide to sanction, if those tournaments are open for all RIF players.
Requests regarding sanctioning a national tournament
must be made to CC, not later then three months ahead of the tournament.
International tournaments must be announced in the official journal "Renju
World" or in other official R.I.F. periodical, or a special invitation
must be sent to all R.I.F. member countries, which is received
by the official R.I.F. predecessors in these countries not later then
three months ahead of the tournaments.
#3. The qualification commissions in the R.I.F. member
countries must send a report, after each concluded tournament in their
country (which entitle the players to international rating), to the International
Qualification Commission in R.I.F. about the results in tournaments according
to #2, which includes complete tables of all individual results in
these tournaments. If this will not be done after three months after
the tournament the responsible federation have to pay a fee (USD 20).
In December each year, a report is also given about players,
who are no longer members in the national renju federations, where after
ratings for these players are no longer published by R.I.F.
Players from countries without a national renju federation
connected to R.I.F. can get rating from all tournaments in 2nd #7 where
they have the right to participate (if not the R.I.F. GA or CC decides
else).
#4. Only tournaments, which are played according
to the International Renjurules of R.I.F., can entitle players to an international
rating.
Only results from games played in reality will be counted.
A game is counted as "played in reality" and entitles both players to receive
rating if somebody won the game or they agreed to make a draw in the game
(no "walk over"). If a break is made in a game and one player does not
appear when the play is about to continue, the game will be counted as
"played in reality" for both players regardless of which the referee's
decision about the result in the game will be.
#5. In the beginning of a tournament the players
have start ratings, which are equal to their the current official
rating coefficients. After a tournament, which entitles the players to
international rating, all contributions (positive or negative) to
a given players start rating coefficient are summed up. All players
total rating contributions in tournaments finished latest April 30,
August 31, and December 31, are summed and added to their current
official rating, which give all players new official rating coefficients
on the given dates. (see #8 about how this start rating is calculated for
"new" players)
#6. The contribution (positive or negative) to a
given players start rating coefficient in a tournament is calculated as:
F = 32 x (Et  Ee)
where
F is equal to the total contribution (positive or
negative) to a players start rating coefficient,
Et is equal to the total number of gained
points by the player in games, which entitle to rating in the tournament,
Ee is equal to the expected number of points,
which the player must achieve to receive no rating contributions at all
in the tournament.
#7. To find Ee for a player, a calculation is made:
Ee = N/(1 + 2^{dR/120})
dR = (P_{1} x R_{1} + P_{2}
x R_{2} + ... + P_{m} x R_{m}) / N  R
where
dR is equal to the difference between the average
start rating coefficients for the opponents and the start rating coefficient
for the player,
R is equal to the start rating coefficient
for the player, P_{1}, P_{2}, ..., P_{m} is equal
to the number of games the player has played against the respective opponents,
R_{1}, R_{2},..., R_{m} is equal to the start rating
coefficients of the respective opponents,
M is equal to the number of opponents,
N is equal to the total number of games played
in the tournament by the player.
After the calculation, F is rounded to the nearest
integer. (see the appendix for a table, which makes it easy to estimate
the rating contributions based on results in individual games)
#8.a. A "new" player, who has not earlier played
in a tournament which, entitles to international rating, must play at least
three games in a tournament to be entitled to receive a start rating coefficient
in a tournament. If a "new" player has played in such a tournament
before, but has not yet received an official international rating
coefficient, his start rating in this tournament is equal to his start
rating in the last previous tournament with the achieved rating contributions
added.
#8.b. The "new" player, will achieve a start
rating coefficient (Ro), which is inside the interval 2000
 2400 at his first appearance in a tournament, which entitles to international
rating, if the average rating (Ra) for all is opponents he
has played with in the tournament is 2200 or higher. If
Ra would be lower then 2200, then Ro is calculated in
the interval (Ra  200) <Ro <Ra + 200).
#8.c. Though, a player who gains 0 points in a tournament
in all matches against players, who have an official international rating
coefficient, will not achieve a start rating in the tournament. No rating
contributions, based on results in matches where both players do not have
a start rating, will be calculated for either player in such matches.
#8.d. The start ratings for the "new" players are
calculated after all matches in a tournament are finished, and are based
on results in the individual matches.
If one or several "new" players take part
in a tournament, start rating coefficients for these players must be calculated
first, before the calculations of rating contributions for all players
begin.
The "new" players are considered to have the same
playing strength in the beginning of the tournament as in the end of the
tournament. This means that the rating contribution to a "new" players
start rating must be zero as long as the start rating coefficients is higher
then the lowest rating in the interval and lower then the highest rating
in the interval, according to point b. If the start rating coefficient
is set to the minimum level in the interval, the player can get a negative
contribution of rating points, and if the start rating coefficient is set
to the maximum level of the interval the player can get a positive contribution
of rating points.
For the "new" players: Ee = Et and
R_{0} = (P_{1} x
R_{1} + P_{2} x R2 + ... + P_{m} x R_{m})
/ N  dR
dR = 120 x log_{2} (N / Ee 
1)
Though, R_{0} must be inside the interval, according
to point b., and the conditions in point c. must by be paid attention to.
Rating contributions are calculated for all players
in a tournament, who are entitled to start ratings, according to the formulas
in #6 and #7.
#9. A renju player, which due to different reasons
has lost his official rating coefficient, can regain his old rating again
when his national renju federation approves.
After five years absence of an internationally rated player,
from tournaments entitling to international rating (according to #2), official
RIFrating is no longer published. Though, by renewed activity the player
regains his old rating.
APPENDIX
Table based on the formulas in #6 & #7 for an estimation of rating
contributions in individual games.
If a player having the start rating R_{1},
has higher (or same rating) then a player with the start rating R_{2},
the rating contributions in a game rounded to an integer and with different
results in the game would be:
Rating difference 
R_{1} wins 
R_{2} wins 
Draw 
010 
+16 
+16 
+0 
1132

+15

+17

+1

3354

+14

+18

+2

5576

+13

+19

+3

77100

+12

+20

+4

101124

+11

+21

+5

125149

+10

+22

+6

150176

+9

+23

+7

177204

+8

+24

+8

205236

+7

+25

+9

237272

+6

+26

+10

273313

+5

+27

+11

314363

+4

+28

+12

364427

+3

+29

+13

428521 
+2 
+30 
+14 
522724 
+1 
+31 
+15 
7252000 
+0 
+32 
+16 
GENERAL ASSEMBLY 1996
Decisions made by the R.I.F. GA in the meeting on May 2, 1996.
1.) Calculations are made for a number of old tournaments (see below),
from August 1988 to April 1996, and the first Official Rating List will
be valid from 1 May 1996. The list of old tournaments for the years 1988
1996 to be included and counted in the process of the rating calculations
is as below:
1988
Stockholm Summer Trophy
Meijin tournament & final
4th Soviet Open team Championship
Swedish CSfinal
1989
1st Soviet CS, 1st league
1st Soviet CSfinal
Swedish WC Qual. final
Japan WC Qual.
WCfinal
WC open tourn.
Meijin tournament & final
Federation Cup in USSR
2nd Soviet CS, 1st league
Swedish CS tournament
1990
Leningrad New Year Prize
Swedish CS tourn.
2nd Soviet CSfinal
Open Soviet team CS
Karepa
Swedish Open CS
Meijin tourn. & final
Tokyo Int. Tourn.
3rd Soviet CS, 1st league
1991
Leningrad New Year Prize
3rd Soviet CSfinal
Swedish CS tourn.
Japanese WC Qual.
Swedish WC Qual.
WCfinal
WC open tourn.
Baltic Cup in Riga
Meijin tourn. & final
Tokyo Int. Tourn.
4th Soviet CS, 1st league
Linköping Open tourn.
Tallin Int. tourn.
1992
S:t Peterburg New Year Prize
Latvia CSfinal
Swedish CS tourn.
4th Soviet CS final
Swedish Open in Arjeplog
Karepa
Meijin tourn. & final
Riga Independence Cup (Latvia Open)
Tokyo Int. tourn.
1st Russian CS, 1st league
S:t Peterburg New Year Prize
1993
1st Russian CSfinal
Latvia CS final
Latvia WC Qual.
Armenia CS final
Swedish CS tourn.
Estonia WC Qual.
Karepa
Japanese WC Qual.
Swedish WQ Qual.
Int. WC Qual. tourn.
WCfinal
WC open tourn.
Meijin tourn. & final
2nd Russian CS, 1st league
Tallin New Year Prize
1994
2nd Russian CS final
Swedish CS tourn.
European Team CS
Latvia CS final
Karepa
Kyoto Memorial Int. tourn.
Armenia CS final
Meijin tourn. & final
3rd Russian CS, 1 st league
1st European CS in Tallin
1995
3rd Russian CS final
Swedish CS tourn.
Latvia CS finals
Baltic league
Japanese WC Qual.
Swedish WC Qual.
Latvian WC Qual.
Int. WC Qual. tourn.
WCfinal
WC open tourn.
Armenia CS final
Meijin tourn. & final
4th Russian CS, 1st league
2nd European CS in S:t Peterburg
1996
4th Russian CS final
Latvia CS finals
Swedish CS final
("CS" means Championships, "WC" is World Championships)
2.) In a few tournaments results are still not gathered (or incomplete)
by QC.
If it is impossible to get complete results from these
tournaments before the end of May 1996, these tournaments will be excluded
from the rating calculations.
3.)The rule in #8c. will not be used when calculating
rating contributions in tournaments played earlier then 1996. Also,
the minimum time access in games played in tournaments before 1996
is only 45 minutes / player.
4.) Such national tournaments as the yearly first league
of Russia, the Baltic league and qualification tournaments ahead of Meijin
tournament may be such tournaments to be sactioned by RIF CC.
RIF GA in S:t Petersburg
May 2, 1996
GENERAL ASSEMBLY 1997
3. New ratings will be calculated after each tournament (or event) and,
normally, in chronological order by their ending dates. The ratings produced
by each event are used for calculation in next event, and so forth. Results
from tournaments, which are played during a longer time must be reported
after each separate stage of the tournament. If a separate stage of a tournament
also is played during a longer time results can (and are encouraged to)
be reported after each playing event to RIF QC. However the dates of reports
must be annouced in advance to QC.
5. Players with official ratings (and published) are called "established".
Players with eastalished ratings are those who after an event have played
at least 10 games with other established players AND earned no less then
3 points totally in these games (win=1 point, draw=0.5 points). Players
who have played less then 10 games with established players OR earned less
then 3 points in these games are called "provisional". Provisional rating
are not published.
6. For established players ratings are only calculated in games with
other established players.
7. Provisional ratings is calculated as
Rp = Ra + (400 (W  L)) / N
Rp  the performance rating (i.e. the new rating)
Ra  the average rating with established opponents
W  the number of wins
L  the number of losses
N  the number of games
Provisional ratings are much less reliable than established ratings.
Rp is maximized to Ra+300.
8. For established players ratings are calculated as before, but only
calculating each game separately:
Rc = 32 (W  We)
Rc  the rating change from one game.
W  result of a game in points (win=1 point, draw=0.5 points, loss=0 points)
We  expected score (Win Expectancy) from following formula:
We = 1/(1 + 2^{(dR/120)})
dR  difference in ratings between the players
The established players changes of ratings can also be approximated
from a table as before. The rating changes Rc added up from each
game are added after the event and rounded.
9. A players who is provisional at the start of an event stays provisional
through the whole event until a new ratings are calculated. If the provisional
player during a tournament has fulfilled the conditions to become an established
rating his provisional rating will turn into established after the event.