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Note---Rankings from Round-Robin Tournaments

Author

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  • Michael Stob

    (Department of Mathematics and Computer Science, Calvin College, Grand Rapids, Michigan 49506)

Abstract

In a December 1983 article in Management Science, Stephen Goddard studies the problem of ranking contestants in a round-robin tournament. He gives objections to the usual method of ranking contestants by number of victories and proposes both an alternative method for ranking contestants and a criterion for determining the "fairest" ranking. We argue here that his criterion is faulty and, in fact, falls prey to his own objections. We also show that his method, in any event, produces rankings which don't satisfy the criterion. Finally we describe a general class of models of competition which have been proposed to solve this problem and which lead to the usual method of ranking by number of victories.

Suggested Citation

  • Michael Stob, 1985. "Note---Rankings from Round-Robin Tournaments," Management Science, INFORMS, vol. 31(9), pages 1191-1195, September.
    • Handle: RePEc:inm:ormnsc:v:31:y:1985:i:9:p:1191-1195
    DOI: 10.1287/mnsc.31.9.1191
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    Cited by:

    1. C. Richard Cassady & Lisa M. Maillart & Sinan Salman, 2005. "Ranking Sports Teams: A Customizable Quadratic Assignment Approach," Interfaces, INFORMS, vol. 35(6), pages 497-510, December.
    2. B. Jay Coleman, 2005. "Minimizing Game Score Violations in College Football Rankings," Interfaces, INFORMS, vol. 35(6), pages 483-496, December.
    3. Brozos-Vázquez, Miguel & Campo-Cabana, Marco Antonio & Díaz-Ramos, José Carlos & González-Díaz, Julio, 2008. "Ranking participants in tournaments by means of rating functions," Journal of Mathematical Economics, Elsevier, vol. 44(11), pages 1246-1256, December.

    More about this item

    Keywords

    tournament rankings; decision making;

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