Match!
László Csató
Corvinus University of Budapest
TournamentMatrix (mathematics)Pairwise comparisonRankingMathematics
71Publications
10H-index
300Citations
What is this?
Publications 67
Newest
#1László Csató (Corvinus University of Budapest)H-Index: 10
The play-offs of the UEFA Euro 2020 qualifying tournament determine the last four participants in the UEFA European Championship 2020. 16 teams, which have failed to obtain a slot in the qualifying group stage, will be selected and divided into four paths of four teams each based on the inaugural season 2018-19 of the UEFA Nations League. We provide a critical examination of the relevant UEFA regulation and show that its articles contradict each other and allow for an unfair formation of the pla...
#1László Csató (Corvinus University of Budapest)H-Index: 10
Fairness has several interpretations in sports, one of them being that the rules should guarantee incentive compatibility, namely, a team cannot be worse off due to better results in any feasible scenario. The current seeding regime of the most prestigious annual European club football tournament, the UEFA (Union of European Football Associations) Champions League, is shown to violate this requirement since the 2015/16 season. In particular, if the titleholder qualifies for the first pot by bein...
3 CitationsSource
#1László Csató (MTA: Hungarian Academy of Sciences)H-Index: 10
The paper discusses the strategy-proofness of sports tournaments with multiple group stages. This design divides the competitors into round-robin groups in the preliminary and main rounds such that the results of matches played in the preliminary round against teams in the same main round group are carried over. It is shown that these tournaments, widely used in handball and other sports, are incentive incompatible because tanking can change the set of qualified teams. Historical examples are pr...
#1László Csató (MTA: Hungarian Academy of Sciences)H-Index: 10
#2Dóra Gréta Petróczy (Corvinus University of Budapest)H-Index: 1
We argue for the application of bibliometric indices to quantify the intensity of competition in sports. The Euclidean index is proposed to reward quality over quantity, while the rectangle index can be an appropriate measure of core performance. Their differences are highlighted through an axiomatic analysis and several examples. Our approach also requires a weighting scheme that allows us to compare different positions. The methodology is illustrated by studying the knockout stage of the UEFA ...
#1László Csató (MTA: Hungarian Academy of Sciences)H-Index: 10
Many sports tournaments are organised in a hybrid design consisting of a round-robin group stage followed by a knock-out phase. The traditional seeding regime aims to create balanced groups roughly at the same competition level but may result in several uneven matches when the quality of the teams varies greatly. Our paper is the first challenging this classical solution through the example of the men's EHF (European Handball Federation) Champions League, the most prestigious men's handball club...
#1László Csató (MTA: Hungarian Academy of Sciences)H-Index: 10
Many sports leagues are played in a tightly scheduled round-robin format, leaving a limited time window to postpone matches. If the season cannot resume due to an external shock such as the coronavirus outbreak in 2020, the ranking of the teams becomes non-trivial because it is necessary to account for schedule imbalances. We identify a set of desired axioms for ranking in such incomplete tournaments and verify that the generalized row sum, a parametric family of scoring rules, satisfies all of ...
#1László Csató (MTA: Hungarian Academy of Sciences)H-Index: 10
Fairness has several interpretations in sports, one of them being that the rules should guarantee incentive compatibility, namely, a team cannot be worse off due to better results in any feasible scenario. The current seeding regime of the most prestigious annual European club football tournament, the UEFA (Union of European Football Associations) Champions League, is shown to violate this requirement since the 2015/16 season. In particular, if the titleholder qualifies for the first pot by bein...
Tanking, the act of deliberately dropping points or losing a game in order to gain some other advantage, is usually seen as being against the spirit of sports. It can be even more serious if playin...
2 CitationsSource
1 CitationsSource
The standard design of soccer penalty shootouts has received serious criticism due to its bias towards the team that kicks the first penalty. The rule-making body of the sport has decided in 2017 to try an alternative mechanism. Although the adoption of the new policy has stalled, academic researchers have recently suggested some other designs to improve fairness. This paper offers an extensive overview of seven such soccer penalty shootout mechanisms, one of them first defined here. Their fairn...
1234567