Tournament organizers supposedly design rules such that a team cannot be better off by exerting a lower effort. It is shown that the European qualifiers to the 2018 FIFA World Cup are not strategy-proof in this sense: a team might be eliminated if it wins in the last matchday of group stage,...

UEFA Euro 1996 qualifying is known to violate strategy-proofness. It is proved that a team could be better off by exerting a lower effort: it might be optimal to concede some goals in order to achieve a better position among runners-up, and hence avoid a hazardous play-off. We show that it is...

UEFA Euro 1996 qualifying is known to violate strategy-proofness. It is proved that a team could be better off by exerting a lower effort: it might be optimal to concede some goals in order to achieve a better position among runners-up, and hence avoid a hazardous play-off. We show that it is...

We discuss the strategy-proofness of multistage tournaments. In a tournament with subsequent group stages, players are divided into groups in the preliminary and main rounds, where they play pairwise matches against each other. The higher ranked players qualify to the next stage such that...

Tournament organizers supposedly design rules such that a team cannot be better off by exerting a lower effort. It is shown that the European qualifiers to the 2018 FIFA World Cup are not strategy-proof in this sense: a team might be eliminated if it wins its last match in the group stage, while...

The 2018-19 UEFA Nations League is the inaugural season of this competition, which provides the basis of the seeding for the 55 men's national football teams participating in the qualification process of the UEFA European Championship 2020. In addition, unlike previous editions, the teams for...

The paper uses paired comparison-based scoring procedures for ranking the participants of a Swiss system chess team tournament. We present the main challenges of ranking in Swiss system, the features of individual and team competitions as well as the failures of official lexicographical orders....

The paper considers a general model of electoral systems combining district-based elections with a compensatory mechanism in order to implement any outcome between strictly majoritarian and purely proportional seat allocation. It contains vote transfer and allows for the application of three...

A special class of preferences, given by a directed acyclic graph, is considered. They are represented by incomplete pairwise comparison matrices as only partial information is available: for some pairs no comparison is given in the graph. A weighting method satisfies the property linear order...

The paper reviews some additive and multiplicative properties of ranking procedures used for generalized tournaments with missing values and multiple comparisons. The methods analysed are the score, generalised row sum and least squares as well as fair bets and its variants. It is argued that...