Journal Article10.2307/2348901
May the best man win
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TL;DR: In this paper, a simulation of various kinds of sporting tournament have been carried out to assess their relative ability to produce as winner the best of the entrants, and a strong contender when it is necessary to play relatively few games is the seeded draw and process, when the players are closely matched and there can be more games the round robin played twice is most effective.
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Abstract: Simulations of various kinds of sporting tournament have been carried out to assess their relative ability to produce as winner the best of the entrants. A strong contender when it is necessary to play relatively few games is the seeded draw and process. When the players are closely matched and there can be more games the round robin played twice is most effective.
read more
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Citations
•Proceedings Article
On the complexity of schedule control problems for knockout tournaments
Thuc Vu,Alon Altman,Yoav Shoham +2 more
- 10 May 2009
TL;DR: This paper investigates the computational complexity of tournament schedule control, i.e., designing a tournament that maximizes the winning probability a target player.
The Predictive Power of Three Prominent Tournament Formats
Dmitry Ryvkin,Andreas Ortmann +1 more
TL;DR: This work studies three widely used tournament formats: contests, binary elimination tournaments, and round-robin tournaments and demonstrates analytically, and through simulations, how the predictive power of these formats depends on the number of players, noise level, and distribution of players' types.
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•Proceedings Article
Fixing a tournament
Virginia Vassilevska Williams
- 11 Jul 2010
TL;DR: The problem is NP-complete for general graphs and several interesting conditions on the desired winner A for which there exists a balanced single-elimination tournament which A wins, and it can be found in polynomial time.
Fixing match-fixing: Optimal schedules to promote competitiveness
TL;DR: A relatively general method of evaluating competitiveness is developed and applied to the current format of the World Cup group stage, and is appealed to to evaluate a “groups of 3” format which will be introduced in the 2026 World Cup edition as well as a format similar to the one of the current Euro UEFA Cup.
51
Fair elimination-type competitions
Ritxar Arlegi,Dinko Dimitrov +1 more
TL;DR: A new competition structure that is called an antler is found to play a referential role in knockout competitions and it is found that stronger players should have a larger chance of winning than weaker players.
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