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To make a joint decision, agents (or voters) are often required to provide their preferences as linear orders. To determine a winner, the given linear orders can be aggregated according to a voting protocol. However, in realistic settings,…

Computational Complexity · Computer Science 2010-05-03 Nadja Betzler , Britta Dorn

We introduce two models of multiwinner elections with approval preferences and labelled candidates that take the committee's diversity into account. One model aims to find a committee with maximal diversity given a scoring function (e.g. of…

Computer Science and Game Theory · Computer Science 2026-02-13 Paula Böhm , Robert Bredereck , Till Fluschnik

An important problem in computational social choice theory is the complexity of undesirable behavior among agents, such as control, manipulation, and bribery in election systems. These kinds of voting strategies are often tempting at the…

Artificial Intelligence · Computer Science 2012-04-20 Andrew Lin

We study the Possible President problem and the Necessary President problem for Schulze voting, a rule that, due to its many desirable axiomatic properties, is popular in practice. In both problems, we are given an election with the…

Computer Science and Game Theory · Computer Science 2026-04-15 Katarína Cechlárová , Jörg Rothe , Šimon Schierreich , Ildikó Schlotter

Classical work on metric space based committee selection problem interprets distance as ``near is better''. In this work, motivated by real-life situations, we interpret distance as ``far is better''. Formally stated, we initiate the study…

Data Structures and Algorithms · Computer Science 2024-05-27 Sushmita Gupta , Tanmay Inamdar , Pallavi Jain , Daniel Lokshtanov , Fahad Panolan , Saket Saurabh

Committee decisions are complicated by a deadline, e.g., the next start of a budget, or the beginning of a semester. In committee hiring decisions, it may be that if no candidate is supported by a strong majority, the default is to hire no…

Computers and Society · Computer Science 2024-01-09 Marina Bannikova , Lihi Dery , Svetlana Obraztsova , Zinovi Rabinovich , Jeffrey S. Rosenschein

Typestate systems ensure many desirable properties of imperative programs, including initialization of object fields and correct use of stateful library interfaces. Abstract sets with cardinality constraints naturally generalize typestate…

Programming Languages · Computer Science 2013-02-14 Bruno Marnette , Viktor Kuncak , Martin Rinard

Over the last few years, researchers have put significant effort into understanding of the notion of proportional representation in committee election. In particular, recently they have proposed the notion of proportionality degree. We…

Computer Science and Game Theory · Computer Science 2022-07-11 Łukasz Janeczko , Piotr Faliszewski

In the stable marriage and roommates problems, a set of agents is given, each of them having a strictly ordered preference list over some or all of the other agents. A matching is a set of disjoint pairs of mutually accepted agents. If any…

Discrete Mathematics · Computer Science 2016-06-01 Ágnes Cseh , David F. Manlove

We study the computational complexity of explaining preference data through Boolean attribute models (BAMs), motivated by extensive research involving attribute models and their promise in understanding preference structure and enabling…

Multiagent Systems · Computer Science 2025-11-18 Clemens Anzinger , Jiehua Chen , Christian Hatschka , Manuel Sorge , Alexander Temper

Challenge the champ tournaments are one of the simplest forms of competition, where a (initially selected) champ is repeatedly challenged by other players. If a player beats the champ, then that player is considered the new (current) champ.…

Data Structures and Algorithms · Computer Science 2024-03-27 Juhi Chaudhary , Hendrik Molter , Meirav Zehavi

Assume $k$ candidates need to be selected. The candidates appear over time. Each time one appears, it must be immediately selected or rejected -- a decision that is made by a group of individuals through voting. Assume the voters use…

Computer Science and Game Theory · Computer Science 2022-05-09 Virginie Do , Matthieu Hervouin , Jérôme Lang , Piotr Skowron

In the metric distortion problem, a set of voters and candidates lie in a common metric space, and a committee of $k$ candidates must be elected. The objective is to minimize a social cost, defined as a function of the distances between…

Computer Science and Game Theory · Computer Science 2025-10-16 Javier Cembrano , Golnoosh Shahkarami

In a representative democracy, the electoral process involves partitioning geographical space into districts which each elect a single representative. These representatives craft and vote on legislation, incentivizing political parties to…

Data Structures and Algorithms · Computer Science 2023-12-08 Andrew Fraser , Brian Lavallee , Blair D. Sullivan

The computational study of elections generally assumes that the preferences of the electorate come in as a list of votes. Depending on the context, it may be much more natural to represent the list succinctly, as the distinct votes of the…

Computer Science and Game Theory · Computer Science 2021-06-25 Zack Fitzsimmons , Edith Hemaspaandra

In many combinatorial problems one may need to model the diversity or similarity of assignments in a solution. For example, one may wish to maximise or minimise the number of distinct values in a solution. To formulate problems of this…

Artificial Intelligence · Computer Science 2014-01-17 Emmanuel Hebrard , Dániel Marx , Barry O'Sullivan , Igor Razgon

Many natural combinatorial problems can be expressed as constraint satisfaction problems. This class of problems is known to be NP-complete in general, but certain restrictions on the form of the constraints can ensure tractability. The…

Computational Complexity · Computer Science 2020-10-05 Dmitriy Zhuk

Online knapsack problem is considered, where items arrive in a sequential fashion that have two attributes; value and weight. Each arriving item has to be accepted or rejected on its arrival irrevocably. The objective is to maximize the sum…

Data Structures and Algorithms · Computer Science 2017-11-30 Rahul Vaze

The Spearman footrule is a voting rule that takes as input voter preferences expressed as rankings. It outputs a ranking that minimizes the sum of the absolute differences between the position of each candidate in the ranking and in the…

Computational Complexity · Computer Science 2026-02-26 Martin Durand

When agents are acting together, they may need a simple mechanism to decide on joint actions. One possibility is to have the agents express their preferences in the form of a ballot and use a voting rule to decide the winning action(s).…

Artificial Intelligence · Computer Science 2012-04-18 Toby Walsh