Maps of Tournaments: Distances, Experiments, and Data
Computer Science and Game Theory
2026-01-27 v1
Abstract
We form a "map of tournaments" by adapting the map framework from the world of elections. By a tournament we mean a complete directed graph where the nodes are the players and an edge points from a winner of a game to the loser (with no ties allowed). A map is a set of tournaments represented as points on a 2D plane, so that their Euclidean distances resemble the distances computed according to a given measure. We identify useful distance measures, discuss ways of generating random tournaments (and compare them to several real-life ones), and show how the maps are helpful in visualizing experimental results (also for knockout tournaments).
Keywords
Cite
@article{arxiv.2601.18348,
title = {Maps of Tournaments: Distances, Experiments, and Data},
author = {Filip Nikolow and Piotr Faliszewski and Stanisław Szufa},
journal= {arXiv preprint arXiv:2601.18348},
year = {2026}
}