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Consider a tournament between N teams, each team playing each of the other teams. Let's call team i a k-winner if there is a group
Consider a tournament between N teams, each team playing each of the other teams. Let's call team i a k-winner if there is a group of k-many teams that were each beaten by team i. Other teams may have beaten team i, but there is at least a group of size k that was roundly beaten by i.
Question: Bound the probability that there exists a k-winner in a tournament of size N?
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