Tournaments are commonly used to select winning alternatives in scenarios involving
pairwise comparisons such as sports competitions and political elections. This survey …

A knockout (or single-elimination) tournament is a format of a competition that is very
popular in practice (particularly in sports, elections and decision making), and which has …

In 2026, the FIFA World Cup will for the first time gather 48 men's national teams. It will
consist of a group stage made of 16 groups of three, with the best two teams in each group …

We present a new, simple knockout format for sports tournaments, that we call “Choose Your
Opponent”, where the teams that have performed best during a preliminary group stage can …

In 2016, for the first time, the UEFA European Championship gathered 24 men's national
teams. It consisted of a group stage made of 6 groups of 4, followed by a knockout stage …

Most solution concepts in collective decision making are defined assuming complete
knowledge of individuals' preferences and of the mechanism used for aggregating them …

Knockout tournaments constitute a popular format for organizing sports competitions. While
prior results have shown that it is often possible to manipulate a knockout tournament by …

A single-elimination (SE) tournament is a popular way to select a winner both in sports
competitions and in elections. A natural and well-studied question is the tournament fixing …

A simple mechanism for allocating indivisible resources is sequential allocation in which
agents take turns to pick items. We focus on possible and necessary allocation problems …

We study the problem of computing possible and necessary winners for partially specified
weighted and unweighted tournaments. This problem arises naturally in elections with …