December 1968
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19 Reads
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61 Citations
The Mathematical Gazette
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December 1968
·
19 Reads
·
61 Citations
The Mathematical Gazette
... Let r n (M 1 ) denote the probability that the tournament with n labeled vertices has a unique vertex with maximum score under model M 1 . Epstein (1967) stated, without proof, that in a classical round-robin tournament (Model M 1 ), the probability that there is a unique vertex with the maximum score tends to 1 as n tends to infinity, i.e., lim n→∞ r n (M 1 ) = 1. ...
December 1968
The Mathematical Gazette