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64支球队参加的国际足联世界杯的双败淘汰制赛制

Double elimination formats for a 64-team FIFA World Cup

César Rennó-Costa

arXiv 2607.10422首次发表:更新:

AI 中文总结

针对国际足联世界杯扩军至64支球队传统赛制存缺陷的问题,研究通过分析双败淘汰结构来探讨替代赛制,评估其公平性、质量和可行性,发现该赛制虽有好处但有复杂限制,提出大型赛事扩军需转向非传统赛制以保竞争完整性。

AI 中文摘要

最近国际足联世界杯参赛队伍扩充至48支引发了关于进一步增至64支球队赛制的讨论。将传统赛制(循环小组赛后接淘汰赛阶段)扩展到64支球队会加剧现有结构缺陷,增加无关比赛频率并降低强队对决概率。本文通过分析64支球队大型赛事的双败淘汰结构来研究替代赛制设计。基于竞争公平性、比赛质量和赛程可行性评估提议赛制。分析表明双败淘汰制消除数学上无关的比赛并显著增加焦点赛事频率,但带来复杂运营限制,包括更高赛程复杂性和各队比赛分布不对称,这需要特定后勤调整。最终研究结果表明大型体育赛事持续扩军需要向非传统赛制设计转变以保持竞争完整性。

英文摘要

The recent expansion of the FIFA World Cup to 48 teams has prompted discussions regarding a potential further increase to a 64-team format. Scaling the traditional tournament architecture (a round-robin group stage followed by a knockout phase) to 64 teams exacerbates existing structural flaws, notably increasing the frequency of matches lacking competitive relevance and reducing the probability of fixtures between top-ranked contenders. This paper investigates alternative tournament designs by analyzing double-elimination structures for a 64-team mega-event. We evaluate the proposed formats based on competitive fairness, match quality, and scheduling feasibility. Our analysis demonstrates that a double-elimination format eliminates mathematically irrelevant matches and significantly increases the frequency of high-profile games. However, these benefits introduce complex operational constraints, including heightened scheduling complexity and an asymmetric distribution of matches per team, which require specific logistical adjustments. Ultimately, our findings suggest that the continuous scaling of mega-sporting events necessitates a paradigm shift toward non-traditional tournament designs to preserve competitive integrity.

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