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Neighborhood monotonicity, the extended Zermelo model, and symmetric knockout tournaments

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Publication:1043567
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DOI10.1016/j.disc.2008.11.026zbMath1207.05069OpenAlexW2053990440MaRDI QIDQ1043567

Gregory R. Conner, Christopher P. Grant

Publication date: 9 December 2009

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2008.11.026


zbMATH Keywords

monotonicityrankingBradley-Terry modelknockout tournamentZermelo model


Mathematics Subject Classification ID

Statistical ranking and selection procedures (62F07) Directed graphs (digraphs), tournaments (05C20) Social choice (91B14) Paired and multiple comparisons; multiple testing (62J15)


Related Items

Paired comparisons analysis: an axiomatic approach to ranking methods



Cites Work

  • Tournament solutions and majority voting
  • Counting pairs of lattice paths by intersections
  • Solution of a Ranking Problem from Binary Comparisons
  • The Ranking of Incomplete Tournaments: A Mathematician's Guide to Popular Sports
  • Do Stronger Players Win More Knockout Tournaments?
  • An extension of Zermelo's model for ranking by paired comparisons
  • The Perron–Frobenius Theorem and the Ranking of Football Teams
  • A NEW MEASURE OF RANK CORRELATION
  • Unnamed Item
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