Uniqueness of Maximum Scores in Countable-Outcome Round-Robin Tournaments

2024/11/04 by Amir, Gideon, Malinovsky, Yaakov
Computer Science · Decision Sciences · Economics, Econometrics and Finance · #05C07 #05C20 #60F10 #60F15 #Artificial Intelligence in Games #Combinatorics (math.CO) #FOS: Mathematics #Game Theory and Applications #Probability (math.PR) #Sports Analytics and Performance #Statistics Theory (math.ST)

paper · pdf · doi:10.48550/arxiv.2411.02141

openalex publication_date 2024/11/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note, we extend a recent result on the uniqueness of the maximum score in a classical round-robin tournament to general round-robin tournament models with equally strong players, where the scores take values in [0, 1].

Related

• On Round-Robin Tournaments with a Unique Maximum Score
• On the distribution of winners' scores in a round-robin tournament
• The score sequences with unique tournament that has minimum number of upsets
• On negative dependence inequalities and maximal scores in round-robin tournaments
• Tournament limits: Degree distributions, score functions and self-converseness