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Swiss-system in Tournaments

Swiss-system would be the best.

In tournaments where most Players start the event with known ratings, the Players are ranked for the first round by rating. The list of all Players is split into two halves.

The top Player from the first half of the list is paired against the top player from the second half, the no.2 player from the first half is paired against the no.2 player from the second half, and so on through the last players in each half.
The color of the top Players from each half is assigned at random and alternates for each subsequent board.

When the first round results are known, a similar method is used for the second round. Players who won in the first round are ranked by rating, the list is split into two halves, the top Player in the first half is paired against the top player in the second half, and the other players are paired accordingly. The same method is used for players who drew in the first round, and for Players who lost.

In subsequent rounds, the same method is used for all players who have identical scores. Pairings for the third round are made for the groups of players who have 2, 1.5, 1, 0.5, and 0 points. In this way the best players tend to meet each other in the last rounds, when prizes and titles are on the line. The other Players have the opportunity to play the complete tournament; no one is ever eliminated.

A few other rules are followed throughout the pairing process:

1)No player may meet another player twice;

2)Color balance is respected for each round, so that each player has approximately the same number of games with the White and Black pieces;

3)Where there are an odd number of players to be paired in a group, the highest ranked players can be moved up one group and the lowest ranked moved down to maintain balance; and

If there are an odd number of players, the lowest ranked player gets a FREE. This means that player has no opponent and earns one point for the round. Each player may receive only one FREE per tournament.
It would be nice to be able to create such tournaments. Those don't have to be bound by time but you may specify a maximum number of rounds. Or the number rounds necessary to find winner can be decided by the number of players.
I vote for the Swiss system. This is the best for chess site. The current tournament system is good for Las Vegas.
In my opinion, the bests systems are Swiss or All vs All, one or round trip.. Bye
I found out that I played 5 times black in 6 games 5 min blitz.
I understand that this can be blamed on getting paired asap, but this balance is wrong.
This is not swiss, whatever, this is unbalanced.

Please contact me for fine tuning,
I have been involved in advising and balancing Sevilla, a freeware pairing software.
Are you sure you're talking about the swiss tournaments at all? Sounds like you might be talking about Arena.
They do not appear to even be aware that you can have swiss tournaments on lichess at all already.
I think they are talking about the tournament that are automatically created every hour, they are by far much more popular than those Swiss tournaments that players occasionally create, and I think it is both because they are 'official' and are created every hour.
What it would be if we would say keep the current system but every fourth or third hourly tournament would be played by the Swiss rules? Also every tenth could be knock-out tournament, where player who loses are immediately out of the tournament, draws replayed.
I only wanted to say that the pairing of arena is not swiss.

Thinking again why wouldn't you get in the settings the disabled option : "Wait in arena for a suitable opponent in order to enhance color balance, rather than a quick match."?

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