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arXiv · 2408.15068

On Controlling Knockout Tournaments Without Perfect Information

Václav Blažej·Sushmita Gupta·M. S. Ramanujan·Peter Strulo
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Abstract

Over the last decade, extensive research has been conducted on the algorithmic aspects of designing single-elimination (SE) tournaments. Addressing natural questions of algorithmic tractability, we identify key properties of input instances that enable the tournament designer to efficiently schedule the tournament in a way that maximizes the chances of a preferred player winning. Much of the prior algorithmic work on this topic focuses on the perfect (complete and deterministic) information scenario, especially in the context of fixed-parameter algorithm design. Our contributions constitute the first fixed-parameter tractability results applicable to more general settings of SE tournament design with potential imperfect information.

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Václav Blažej, Sushmita Gupta, M. S. Ramanujan, Peter Strulo. 2024-08-27. On Controlling Knockout Tournaments Without Perfect Information. https://arxiv.org/abs/2408.15068

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