Player Ratings

Overall they look fine, but I still don't prefer Istari, or the old GSI method. I don't play to get individual points and never have.

Just as a refresher, what would be the as of date of these ratings, meaning do they just start with new games, do they attempt to pick up old games, or games in progress?

Randy

----Original Message Follows----

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From: "Middle Earth Games" <me@MiddleEarthGames.com>
Reply-To: mepbmlist@yahoogroups.com
To: "mepbmlist" <mepbmlist@yahoogroups.com>
Subject: [mepbmlist] Player Ratings
Date: Fri, 13 Sep 2002 17:30:38 +0100

Here's the idea we have on player ratings - check it out and PLEASE comment.

Player and Team Rating Tables

There has been a lot of discussion on the mepbmlist concerning ratings for
players. We've taken a look at this and also the emails sent to us on the
subject. Here then are some ideas.

Please discuss and give feedback on what we can do to change it (what
changes you would make and what you would keep the same), what you think of
it (good or bad), what is unclear and needs improvement and anything other
feedback you think useful. We have in mind 4 ratings: Valar, Maia, Istari
and Ainur. Note you don't need to do anything to get these ratings, we'll
do all the work.!

Valar - this is based on similar ratings found in other games such as chess.
The quality of both teams is taken into account, as is the split of the
neutrals. If this rating became popular, it would have a very profound
balancing effect on the neutrals, it would be rare to get games where one
side is too strong and the game ends too quickly.

Maia - designed to be like experience points. This will show how much
experience you have at playing Middle-earth. It gives more points for
winning than for losing, it also gives more points if you play with other
more experienced players.

Istari - individual success, based on ability to place well at the end of
the game. This follows GSI's Victory Points system, rewarding those who are
not only on the winning team, but who have achieved their five goals.

Ainur - a rating for Grudge teams. This rewards Grudge teams who win without
losing too many nations along the way.

Each of these ratings will be updated at the end of a game. For scoring
purposes the last player that ran that particular nation will be counted.
(This means that a player who runs a nation, then stops AND another player
takes over, will not be counted for any of these ratings) .

This also means that if you are in more than one game your rating could well
be different by the end of the game. In these cases it is always your newest
rating that will be used. So if you start one game with 1,500 points and
then lose 50 from another game when the game ends you will have to use 1,450
as your 'original rating'.

Any games which start with less than 20 positions will count for less and so
only earn 1/2 points. Each rating will also alter as time goes on to show a
true status of active players. The updated ratings will be sent out to
players and added to the website each month. As time passes, players who
have not played recently will find their scores dropping, whilst active
players will remain at the top of the tables.
After each month your scores will be modified as follows:

    New Rating = [0.98 x ( Original Rating - 1500 )] + 1500

E.g. A rating of 1850 will be modified down to 1843 after one month and down
to 1836 after two months

    New Rating = [0.98 x ( 1850 - 1500)] +1500
      = [0.98 x 350] + 1500
= 1843

(1500 is the average, or the start rating. We will give people approximate
ratings when we start doing this. We'll discuss these approximate ratings
in a different article.)

The following pages explain each rating as we envisage them. There's quite a
bit of maths involved, so you might want to take it rating by rating and
think about each before looking at the next. There are also plain English
equations and examples, which should help.

  Valar Rating

There is no change in your rating if there was a draw, if you won the game
you add the change, if you lost the game you subtract the change.

New Valar Rating = Original Rating + Change

Where; Change = 45 + (TotLose - TotWin )/150

Definitions: TotLose = Total of the Original ratings of the Losing team,
TotWin = Total of the Original ratings of the Winning team

Neutrals that do not change allegiance are counted as losing players for
their rating adjustment, but not for the total of the losing team's rating.

Example
The Free Peoples win on turn 30 with 11 players on their team. The losing
team (DS) had 13 players on their team before the inevitable drops. One
Neutral dropped and was not taken up.

Free People (winners) have a rating of:
Nation Original Rating
Wood 1450
NortM 1550
Eothra 1200 (got knocked out on turn 5 but still counts)
Arth 1300
Card 1500
NortG 1524
SoutG 1544
Dwarf 1700
Sinda 1800
Noldo 1000
Harad 1200
Total (TotWin) 15768

Dark Servants have a Rating of:
Nation Original Rating
WitchK 1290 (died on turn 8)
DragL 1100
DogL 1400 (dropped out two turns before the end of game)
Cloud 1050
BlinS 1784
IceK 1800
QuieA 1500 (new player so given default Provisional rating of 1500)
FireK 1600 (ran the Fire King and the Long Rider)
LongR 1600
DarkL 1856
Cors 1900
Dunl 1243
East 1542
Total (TotLose) 19665

Rhudaur was Neutral throughout the game so counts as losing. We'll come to
that one later.

Change = 45 + (15768 - 19665 )/150
                                  = 45 + 25.98 = 71 (round to nearest)

So the Dwarf's new score is: 1700 + 71 = 1771, and the Blind Sorcerer's new
score is:1784 - 71 =1713

Note - The Rhudaur player, who remained neutral all game loses 71 points.
His previous rating does not impact on the calculation. The Fire King and
the Long Rider's score is affected only once despite the fact that the
player is running two positions.
  Maia Rating

Definitions
RatNew = New player rating
RatOrig = Original player rating
TmAv = Your team's average rating at game end (worked out in the same
manner as the Valar ratings)
Score = Score for the game where S = 4 Win, = 3 Draw, = 2 Loss
EndTurn = Generic turn number the game Ended

RatNew = RatOrig + (TmAv/RatOrig) x Score x ?EndTurn

e.g. On turn 30 Dark Servants win. Their Average Rating is 1400. If I am a
winner on that team and I went into the game with a Maia rating of 1250, my
new Maia Rating would be:

= 1250 + (1400/1250 x 4 x ?30 )
= 1250 + (1.12 x 4 x 5.477)
= 1250 + 25 (rounding nearest)
    = 1275

If I were on the losing side (FP) with the same start rating (and the
average FP team rating was 1600) then my new Maia Rating would be:

= 1250 + (1600/1250 x 2 x ?30)
= 1250 + (1.28 x 2 x 5.477)
= 1250 + 14 (rounding nearest)
    = 1264

  Istari Rating

Victory Points refers to the final score of each player, including those
gained through completion of individual victory conditions. No points are
scored by players on the losing team.

Position on the winning team, 1 = 1st, 2 = 2nd etc

New Istari Rating = Original Rating + Victory Points / (Position +2)

E.g., Original Istari rating of 1250. I came 5th on the winning team, with
1050 Victory Points. My new Istari rating would be:
  = 1250 + 1050/ (5+2)
  = 1250 + 150
  = 1400

BOFA also has a slightly different VP scoring system, 1000 for a Total
Victory, 500 for a Major Victory, 250 for a Minor Victory.

  Ainur Rating

Grudge game - a Grudge Team is defined as any group of players which has at
least 5 members of the same team as played together before. It also has
same designated Team Co-ordinator. Members can come and go as long as 5
players of the original team remain.

If you make a change to a team roster between games you lose ( C x C )
points, where C = number of players changed. This means you lose 1 point if
you change 1 team member on the roster, 4 points if you change 2, and 25
points if you change 5 etc.

Two examples of Grudge teams: Sam Roads' 'Team GM', or Ben Shushan's 'USA1'

Grudge games can occur across the spectrum of gaming formats, with a minimum
of 10 nations filled a-side. Many players will never play a grudge game
because they prefer different formats, so they need not worry about Ainur
ratings.

There is no change in your rating if there was a draw, if you won the game
you add the change, if you lost the game you subtract the change.

The Ainur rating is applicable to the team, not the individual players.

GruOrigLose = Original Grudge rating of Losing team
GruOrigWin = Original Grudge rating of Winning team
ActWinNtn = Number of Active nations on winning side at game end
NumNtn = Number of nations per side at game start

New Grudge rating = Original Grudge rating + Change

Change = 60 x ( GruOrigLose / GruOrigWin) x ( ActWinNtn / NumNtn)

E.g. Winning Grudge team has an original rating of 1500, losing team of
1450. It started as a 12v12 game and the winning team lost 4 nations by the
end of the game so ended with 8 active nations.

Change = 60 x ( 1450/1500 ) x ( 8/12 )
= 60 x ( 0.97 ) x ( 0.67 )
= 39 ( rounded to nearest )

So the winning team would walk away with a new rating of 1539 points and the
losers would skulk off with a new rating of 1411 points.

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      Middle Earth Games
Mailto: me@MiddleEarthGames.com
Website: www.MiddleEarthGames.com

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