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biased positional games 1combinatorial game theory 1graph theory 1oriented cycle game 1threshold bias 1tournament 1

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math.CO2026

An Improved Upper Bound on the Threshold Bias of the Oriented-cycle Game

Anita Liebenau, Abdallah Saffidine, Jeffrey Yang

The paper investigates a biased positional game where two players direct edges of a complete graph to form a tournament, focusing on the largest bias for which the maker can force…