Archived from groups: rec.games.trading-cards.jyhad (
More info?)
"Johannes Walch" <johannes.walch@vekn.de> wrote in message
news:dcq3pt$ol$1@news01.versatel.de...
> The subject says it all. In one-on-one games ELO is easy and clear. But
> in multiplayer games? If you score 0VP at a table did you loose against
> all the others? Against the one with the GW (if any)? Against anybody
> with a GW? And if you "win" (what is winning? scoring a VP? a GW?)?
It's a good question. The original VEKN ELO system answered the question
by conceptually converting each multiplayer tournament game to a series
of two-player duels resolved by comparing the number of victory points
obtained by each of the two players and doing its rating calculation based
on who got more VPs. For example, say a five-player game between players
A, B, C, D, and E ended with player A getting 3 and 1/2 victory points,
players B and C getting 1/2 victory point, and players D and E getting
ousted without a point. This real game would be converted into ten
conceptual duels, rated simultaneously, with the following results:
A (3 1/2 VPs) defeated B (1/2 VP)
A (3 1/2 VPs) defeated C (1/2 VP)
A (3 1/2 VPs) defeated D (0 VPs)
A (3 1/2 VPs) defeated E (0 VPs)
B (1/2 VP) drew with C (1/2 VP)
B (1/2 VP) defeated D (0 VPs)
B (1/2 VP) defeated E (0 VPs)
C (1/2 VP) defeated D (0 VPs)
C (1/2 VP) defeated E (0 VPs)
D (0 VPs) drew with E (0 VPs)
A four-player real game would be reduced to six conceptual duels in
the same manner.
I don't consider this to be an issue in the implementation of ELO
system for VEKN. Other issues, stemming from the necessity of entering
tournament results simultaneously, are problematic but not this one.
Granted, its not very intuitive and it lends itself to a fair number
of drawn results (for instance when one player sweeps the table) but
I don't see any actual problems with that. Because of the number of
duels rated, it weights five-player games more heavily than four-
player games by a factor of four to three. To me, that seems
appropriate, although you could also add a fudge factor to four-
player games to balance the weightings if you wanted.
> Are
> additional points rewarded for going into the finals? Can your score go
> down playing the finals e.g 5th place has a lower score than 6th
> because he lost the final (as it was the case with the old stupid system)?
No additional points are rewarded for going into the finals. ELO is a
closed system - what one player gains, another player must lose. The
finals are rated the same as any other tournament game. But that doesn't
mean there's a penalty for going to the finals and losing. Because of
this close system nature, the expected outcome of playing any ELO rated
game should be zero. That's why ELO doesn't care how many tournaments
a player does or doesn't play in. If you're rated correctly, you
should have an equal chance of gaining points as losing points - in an
easy tournament, a hard tournament, a big tournament, a small
tournament, the finals of the Continental Championship, it doesn't
matter.
The better the players you play in any given game, the harder it should
be to do well in that game. But because their ratings are higher, this
will consequently get factored into the ratings calculations. So if
you did well, you would gain more points for beating better players.
But if you did poorly on the other hand, you would lose fewer points.
The *average* outcome - assuming all players are rated correctly at
the time they play - should be approximately zero.
Fred