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Rating systems based on paired comparison models

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  • Joe, Harry

Abstract

Assuming that a linear paired comparison model is valid for a sport (which involves pairwise competitions), an axiomatic approach is used to obtain a system for updating ratings or strengths of players in the sport. Paired competitions with or without ties are both dealt with. Existing rating systems in chess and table tennis fit within the systems derived here.

Suggested Citation

  • Joe, Harry, 1991. "Rating systems based on paired comparison models," Statistics & Probability Letters, Elsevier, vol. 11(4), pages 343-347, April.
  • Handle: RePEc:eee:stapro:v:11:y:1991:i:4:p:343-347
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    Cited by:

    1. Robert Lehmann & Klaus Wohlrabe, 2017. "An Elo ranking for economics journals," Economics Bulletin, AccessEcon, vol. 37(4), pages 2282-2291.
    2. Leitner, Christoph & Zeileis, Achim & Hornik, Kurt, 2010. "Forecasting sports tournaments by ratings of (prob)abilities: A comparison for the EUROÂ 2008," International Journal of Forecasting, Elsevier, vol. 26(3), pages 471-481, July.
    3. Lehmann, Robert & Wohlrabe, Klaus, 2017. "Who is the ‘Journal Grand Master’? A new ranking based on the Elo rating system," Journal of Informetrics, Elsevier, vol. 11(3), pages 800-809.

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