Carry-Over tournament design for 2+2=4 players

Julian D. A. Wiseman, April 2004

This is a carry-over tournament design for 2+2=4 players. It therefore assumes that two qualifying leagues (called ‘Roman’ and ‘Italic’) have played an all-play-all, and that the top 2 players from each are through to the final. In the final these 4 players are then to play each other, except that games already played between them are ‘carried over’. The players in the Roman league are called A and B, those in the Italic league a and b.

It was last updated in April 2004.

Available formats:
PDF (A4)	Schedule, in score-sheet, with running totals; Blank score sheet, with running totals
PDF (A3)	Schedule, in score-sheet, with running totals; Blank score sheet, with running totals
PDF (USL)	Schedule, in score-sheet, with running totals; Blank score sheet, with running totals
Text	Human-readable schedule, machine-readable schedule
Also see the carry-over explanation and the links to similar designs for other numbers of players.

Properties of this tournament design:

	i	ii
1	b:A	a:B
2	A:a	B:b

Each player plays exactly once each of the players in the other league.
Each player plays once on each side (left and right).
It is seeded, so that important games come late in the tournament. It is assumed that player A is better than B and that a is better than b. (Usually rankings are determined by the players’ scores in the qualifying rounds.)
It has a permutation score of 1.012345679, which is maximal.
It has a left-right asymmetry measure of 3/4 = 0.75, which is minimal.