27 citations · 79 across the 8 of their papers we have counts for
9 papers
The maximum concentration of results in incomplete round-robin tournaments
Gergely Csáji, László Csató
The Herfindahl--Hirschman Index (HHI), a standard measure of market concentration, is widely used to quantify competitive balance in sports tournaments. To enable comparisons over…
How to choose a completion method for pairwise comparison matrices with missing entries: An axiomatic result
László Csató
Since there exist several completion methods to estimate the missing entries of pairwise comparison matrices, practitioners face a difficult task in choosing the best technique. Ou…
Club coefficients in the UEFA Champions League: Time for shift to an Elo-based formula
László Csató
One of the most popular club football tournaments, the UEFA Champions League, will see a fundamental reform from the 2024/25 season: the traditional group stage will be replaced by…
Random matching in balanced bipartite graphs: The (un)fairness of draw mechanisms used in sports
László Csató
The draw of some knockout tournaments requires finding a perfect matching in a balanced bipartite graph. The problem becomes challenging with draw constraints: the two draw procedu…
Mitigating the risk of tanking in multi-stage tournaments
László Csató
Multi-stage tournaments consisting of a round-robin group stage followed by a knockout phase are ubiquitous in sports. However, this format is incentive incompatible if at least tw…
A note on the UEFA Champions League Round of 16 draw
László Csató
A paper published in a leading journal of management science has recently analysed the mechanism used for the UEFA Champions League Round of 16 draw. Since the authors have not bee…
On head-to-head results as tie-breaker and consequent opportunities for collusion
László Csató
The outcome of some football matches has benefited both teams at the expense of a third team because head-to-head results were used for breaking ties. Inspired by these examples, o…
Tournament schedules and incentives in a double round-robin tournament with four teams
László Csató, Roland Molontay, József Pintér
In a round-robin tournament, a team may lack the incentive to win if its final rank does not depend on the outcome of the matches still to be played. This paper introduces a classi…
Reducing the non-uniformity of the group draw in sports tournaments
László Csató
The group draw of a sports tournament requires assigning teams to groups of (almost) the same size. The most important criteria for a draw procedure are balance, randomness, and tr…