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Comparing Draws for Single Elimination Tournaments

Author

Listed:
  • Jeff Horen

    (AT&T Communications, Morristown, New Jersey)

  • Raymond Riezman

    (University of Iowa, Iowa City, Iowa)

Abstract

Tournaments are used to select a single winner from a group of participants in a sporting event or a paired-comparison experiment. This study compares different draws, or pairings, of teams in single-elimination tournaments under a set of relatively nonrestricting assumptions about the participating teams' pairwise probabilities of winning. We analyze and compare draws for four-team tournaments using various criteria, then attempt to generalize the results to eight-team tournaments. For example, only one-four team draw maximizes the probability that the best team wins for all pairwise probabilities, whereas eight draws are possibly optimal for eight-team tournaments.

Suggested Citation

  • Jeff Horen & Raymond Riezman, 1985. "Comparing Draws for Single Elimination Tournaments," Operations Research, INFORMS, vol. 33(2), pages 249-262, April.
    • Handle: RePEc:inm:oropre:v:33:y:1985:i:2:p:249-262
    DOI: 10.1287/opre.33.2.249
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