Publication: Imperfections in random tournaments
Imperfections in random tournaments
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Barbour, A. D., Godbole, A., & Qian, J. (1997). Imperfections in random tournaments. Combinatorics, Probability & Computing, 6(1), 1–15. https://doi.org/10.1017/S0963548396002829
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Abstract
A tournament T on a set V of n players is an orientation of the edges of the complete graph Kn on V; T will be called a random tournament if the directions of these edges are determined by a sequence {Yj[ratio]j = 1, …, (n2)} of independent coin flips. If (y, x) is an edge in a (random) tournament, we say that y beats x. A set A [subset or is implied by] V, |A| = k, is said to be beaten if there exists a player y [notin N: negated set membership] A such that y beats x for each x [set membership] A. If such a y does not exist, we say t
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Barbour, A. D., Godbole, A., & Qian, J. (1997). Imperfections in random tournaments. Combinatorics, Probability & Computing, 6(1), 1–15. https://doi.org/10.1017/S0963548396002829