27 citations · 79 across the 8 of their papers we have counts for
5 papers · 1 filter
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…
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…