From fundamental concepts and results to recent advances in computational social choice,
this open access book provides a thorough and in-depth look at multi-winner voting based …

We study voting rules for participatory budgeting, where a group of voters collectively
decides which projects should be funded using a common budget. We allow the projects to …

In this survey, we review the literature investigating participatory budgeting as a social
choice problem. Participatory Budgeting (PB) is a democratic process in which citizens are …

When selecting a subset of candidates (a so-called committee) based on the preferences of
voters, proportional representation is often a major desideratum. When going beyond …

We study two influential voting rules proposed in the 1890s by Phragmen and Thiele, which
elect a committee of k candidates which proportionally represents the voters. Voters provide …

We consider the problem of fairly allocating indivisible public goods. We model the public
goods as elements with feasibility constraints on what subsets of elements can be chosen …

In the late 19th century, Swedish mathematician Edvard Phragmén proposed a load-
balancing approach for selecting committees based on approval ballots. We consider three …

Participatory budgeting is one of the exciting developments in deliberative grassroots
democracy. We concentrate on approval elections and propose proportional representation …

We study the problem of fair sequential decision making given voter preferences. In each
round, a decision rule must choose a decision from a set of alternatives where each voter …

We consider a setting in which agents vote to choose a fair mixture of public outcomes. The
agents have dichotomous preferences: each outcome is liked or disliked by an agent. We …