MathDB

Let

k

be a positive integer. At the European Chess Cup every pair of players played a game in which somebody won (there were no draws). For any

k

players there was a player against whom they all lost, and the number of players was the least possible for such

k

. Is it possible that at the Closing Ceremony all the participants were seated at the round table in such a way that every participant was seated next to both a person he won against and a person he lost against.
Proposed by Matija Bucić.

Problem Statement