Direct Comparison

  Difficulty: Intermediate   Keywords: Tournament

EGF Tournament System Rules definition:

  • A player's Direct Comparison relative to a group of players is their Number of Wins Score relative to that group.
  • If it results in a finer tiebreaking, then the definition is applied iteratively: If an application still ties some players, then for them the tiebreaker is applied again, not overwriting but fine-tuning its previous application[1]. This is sometimes possible if four or more players are tied before the first application of Direct Comparison.
  • However, in a McMahon or Swiss tournament or same stage of a tournament, the above definition of Direct Comparison is overridden by giving each player of mutually tied players the value 0 if they all have not played the same number of games against each other.

Direct Comparison (EGF), also called Face to Face result (AGA), is a tiebreaker used in go tournaments. The simple and most common case is for two tied players. If these players have played each other and one of these players has beaten the other during the tournament, then that player wins the Direct Comparison.

For larger groups, Direct Comparison tries to break ties by the (Swiss) score from only the results between the tied players, but only if they have all played each of the others.

Direct comparison may not break all ties. In groups of four or more players, it may break the tie partially, and can in that case be applied iteratively.

Table of contents


When to use Direct Comparison

Direct Comparison does not always split ties; its greatest usefulness is in cases of two tied players. It is among the recommended tie breakers of the [ext] EGF Tournament System Rules. The AGA considers this tiebreaker acceptable only if the Swiss Score, SOS and SODOS are all tied.[2]

Advantages of Direct Comparison

  • Easily understood by players in the case of two tied players.
  • Easily calculated manually. (= Doesn't require tournament software.)

Disadvantages of Direct Comparison

  • Not always applicable, all direct games need to have taken place.
  • Less easily understood in the case of more than two tied players.
  • It does not consider performance over the whole tournament, instead considering only some of the games that have been played.

Iterative Direct Comparison

When four or more players are tied, it is possible that direct comparison partially breaks the tie (i.e, some players are still tied, but not all players). In that case, it is possible to iterate Direct Comparison by applying it again to the players that are still tied. This is called Iterative Direct Comparison in the European Go Federation Tournament [ext] System Rules.

How to do Iterative Direct Comparison.

Iterative Direct Comparison needs to be done in a prescribed way. some shortcuts that superficially seem okay are in fact mathematicaly unsound because game results are [ext] intransitive

The right way to use is to make a virtual round robin tournament between the tied players from the tournament results. (all results not between the tied players are discarded)

If some games in this virtual tournament haven't been played then this tiebreaker cannot be used.

There are now three possible results:

  1. One players has more wins than any other player: He is declared the winner.
  2. All players have the same winscore: This tiebreaker cannot decide on the winner. and other tiebreakers needs to be considered.
  3. More than one player has the highest winscore: the same procedure is done but now only between the players with the same winscore. (this can also be done to find 2nd, 3rd ... prize winner)

Example

In the European Go Congress 2009 the four top players were all tied with 8 wins.

The Final Wall list was: (unnecessary data removed)

 Name 	   R 1 	R 2  R 3  R 4  R 5  R 6  R 7  R 8  R 9 	R 10  Wins
 Player 1  14+  10+   7+   5-  25+  11+   2+   6+   3+ 	 4-    8
 Player 2  27+  11+   4+   3+ 	5-   9+   1-  13+  23+ 	 7+    8
 Player 3  33+   8+   6+   2-  14+   4+   5+  15+   1- 	13+    8
 Player 4  24+  23+   2-  17+  12+   3-  26+  11+  10+ 	 1+    8

For breaking the tie using IDC only the results against each other are used:

First direct comparison

virtual round-robin tournament
Name P 1 P 2 P 3 P 4 DC-1 Next
Player 1 -- 7+ 9+ 10- 2 To comparison for 1st and 2nd
Player 2 7- -- 4+ 3+ 2 To comparison for 1st and 2nd
Player 3 9- 4- -- 6+ 1 To comparison for 3rd and 4th
Player 4 10+ 3- 6- -- 1 To comparison for 3rd and 4th

(the numbers refer to the round number)

The column "DC-1" is the result of the first iteration: i.e, the Number of Wins Score of each player relative to the tied group.

It is important to check that all games have been played if some games have not been played this tiebreaker can not be used.

The players with the same result are now compared against each other. The players in the highest result group are eligible for the highest prizes. the second highest group for prizes that cannot be awarded to the first group, because there are more prizes than players in that group.

Second direct comparison for first and second place

Name P 1 P 2 DC-2 Placement
Player 1 -- 7+ 1 First
Player 2 7- -- 0 Second

Second direct comparison for third place

Name P 3 P 4 DC-2 Placement
Player 3 -- 6+ 1 Third
Player 4 6- -- 0 Fourth

The second iteration (DC-2) is done between the players with the same score from DC-1 and is calculated using only the results from games between players in the same group. In other words, DC-2 for players 1 and 2 is the Number of Wins Score relative to the group {Player 1, Player 2}, and DC-2 for players 3 and 4 is the Number of Wins Score relative to the group {Player 3, Player 4}.

See also

References


Direct Comparison last edited by OscarBear on November 15, 2016 - 16:33
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