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Subject: Setting up tournament matchups - Headache rss

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Stanley Cheung
United States
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I am trying to organize a T&E tournament among friends and I am trying to set the matchups. Here's the format:

8 total players
4 players per game
I want each player to play exactly 2 games
I want each player to play every other opponent at least once but not more than twice.

The best I can come up with is this:

1 2 3 4
5 6 7 8
1 2 7 8
3 4 5 6
1 3 6 8
2 4 5 7
1 4 5 6
2 3 7 8

However, 4 and 5 play each other 3 times, and 4 never play against 8. I try to tweak the matchups here and there but I can never get it to work. Is it impossible with my constraints? Any idea appreciated.
 
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Frank Teplin
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La Mesa
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stan394 wrote:
I am trying to organize a T&E tournament among friends and I am trying to set the matchups. Here's the format:

8 total players
4 players per game
I want each player to play exactly 2 games
I want each player to play every other opponent at least once but not more than twice.

The best I can come up with is this:

1 2 3 4
5 6 7 8
1 2 7 8
3 4 5 6
1 3 6 8
2 4 5 7
1 4 5 6
2 3 7 8

However, 4 and 5 play each other 3 times, and 4 never play against 8. I try to tweak the matchups here and there but I can never get it to work. Is it impossible with my constraints? Any idea appreciated.


Well, you have each player playing 4 games, not 2 games. Is that a typo? With your original constraints:

stan394 wrote:

8 total players
4 players per game
I want each player to play exactly 2 games
I want each player to play every other opponent at least once but not more than twice.


Game A: 1 2 3 4
Game B: 5 6 7 8
Game C: 1 3 5 7
Game D: 2 4 6 8

... will fit the bill.

If you meant you want each player to play exactly 4 games, I'm pretty sure it's impossible under the strict conditions you've proposed.
 
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Nick Fisk
United Kingdom
Stoke on Trent
Staffordshire
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Quote:
I want each player to play exactly 2 games
I want each player to play every other opponent at least once but not more than twice.


Not possible.

Take player 1. If he plays against 2, 3, and 4 in his first game, the best he can do in his next game is play against 5, 6 & 7. He won't play 8 at all.

 
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Stanley Cheung
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fteplin wrote:
stan394 wrote:
I am trying to organize a T&E tournament among friends and I am trying to set the matchups. Here's the format:

8 total players
4 players per game
I want each player to play exactly 2 games
I want each player to play every other opponent at least once but not more than twice.

The best I can come up with is this:

1 2 3 4
5 6 7 8
1 2 7 8
3 4 5 6
1 3 6 8
2 4 5 7
1 4 5 6
2 3 7 8

However, 4 and 5 play each other 3 times, and 4 never play against 8. I try to tweak the matchups here and there but I can never get it to work. Is it impossible with my constraints? Any idea appreciated.


Well, you have each player playing 4 games, not 2 games. Is that a typo? With your original constraints:

stan394 wrote:

8 total players
4 players per game
I want each player to play exactly 2 games
I want each player to play every other opponent at least once but not more than twice.


Game A: 1 2 3 4
Game B: 5 6 7 8
Game C: 1 3 5 7
Game D: 2 4 6 8

... will fit the bill.

If you meant you want each player to play exactly 4 games, I'm pretty sure it's impossible under the strict conditions you've proposed.


Oops. yes. it was a typo. I mean to say Each player plays 4 games.
 
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Marshall P.
United States
Wichita
Kansas
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stan394 wrote:

Oops. yes. it was a typo. I mean to say Each player plays 4 games.


The number of games you want each player to play defines how many players you need in the tournament which in turn defines the total number of games played in the tournament. For example, if a player plays in 4 games against unique opponents he needs 12 opponenets (4 games times 3 opponents per game). Including himself that's 13 players in the tournament and it will require 13 games. This is exactly the tournament I set up here, you can scroll down to see the schedule:

http://www.boardgamegeek.com/article/767305



 
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