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In elections, a set of candidates ranked consecutively (though possibly in different order) by all voters is called a clone set, and its members are called clones. A clone structure is a family of all clone sets of a given election. In this…

Computer Science and Game Theory · Computer Science 2011-10-19 Edith Elkind , Piotr Faliszewski , Arkadii Slinko

Perpetual voting was recently introduced as a framework for long-term collective decision making. In this framework, we consider a sequence of subsequent approval-based elections and try to achieve a fair overall outcome. To achieve…

Computer Science and Game Theory · Computer Science 2021-05-03 Martin Lackner , Jan Maly

Coalitional manipulation in voting is considered to be any scenario in which a group of voters decide to misrepresent their vote in order to secure an outcome they all prefer to the first outcome of the election when they vote honestly. The…

Theoretical Economics · Economics 2020-09-28 Mostapha Diss , Boris Tsvelikhovskiy

Fairness in multiwinner elections is studied in varying contexts. For instance, diversity of candidates and representation of voters are both separately termed as being fair. A common denominator to ensure fairness across all such contexts…

Computer Science and Game Theory · Computer Science 2022-11-24 Kunal Relia

The map of elections framework is a methodology for visualizing and analyzing election datasets. So far, the framework was restricted to elections that have equal numbers of candidates, equal numbers of voters, and where all the (ordinal)…

Computer Science and Game Theory · Computer Science 2026-01-27 Piotr Faliszewski , Jitka Mertlová , Pierre Nunn , Stanisław Szufa , Tomasz Wąs

Here we present \texttt{electoral\_sim}, an open-source Python framework for simulating and comparing electoral systems across diverse voter preference distributions. The framework represents voters and candidates as points in a…

Computer Science and Game Theory · Computer Science 2026-03-11 Sumit Mukherjee

We consider a two-round election model involving $m$ voters and $n$ candidates. Each voter is endowed with a strict preference list ranking the candidates. In the first round, the candidates are partitioned into two subsets, $A$ and $B$,…

Computer Science and Game Theory · Computer Science 2026-03-17 Emilio De Santis , Antonio Di Crescenzo , Verdiana Mustaro

In repeated games, players choose actions concurrently at each step. We consider a parameterized setting of repeated games in which the players form a population of an arbitrary size. Their utility functions encode a reachability objective.…

Computer Science and Game Theory · Computer Science 2025-10-06 Nathalie Bertrand , Patricia Bouyer , Luc Lapointe , Corto Mascle

The goal of this paper is twofold. First and foremost, we aim to experimentally and quantitatively show that the choice of a multiwinner voting rule can play a crucial role on the way minorities are represented. We also test the possibility…

Computer Science and Game Theory · Computer Science 2016-04-11 Piotr Faliszewski , Jean-Francois Laslier , Robert Schaefer , Piotr Skowron , Arkadii Slinko , Nimrod Talmon

In this paper we extend the principle of proportional representation to rankings. We consider the setting where alternatives need to be ranked based on approval preferences. In this setting, proportional representation requires that…

Computer Science and Game Theory · Computer Science 2016-12-06 Piotr Skowron , Martin Lackner , Markus Brill , Dominik Peters , Edith Elkind

We study the setting of single-winner elections with ordinal preferences where candidates might be members of \emph{alliances} (which may correspond to e.g., political parties, factions, or coalitions). However, we do not assume that…

Computer Science and Game Theory · Computer Science 2024-01-30 Grzegorz Pierczyński , Stanisław Szufa

A core tension in the study of plurality elections is the clash between the classic Hotelling-Downs model, which predicts that two office-seeking candidates should position themselves at the median voter's policy, and the empirical…

Computer Science and Game Theory · Computer Science 2025-03-04 Kiran Tomlinson , Tanvi Namjoshi , Johan Ugander , Jon Kleinberg

Multi-winner voting is the process of selecting a fixed-size set of representative candidates based on voters' preferences. It occurs in applications ranging from politics (parliamentary elections) to the design of modern computer…

Computer Science and Game Theory · Computer Science 2022-11-22 Martin Lackner , Piotr Skowron

The integrity of elections is central to democratic systems. However, a myriad of malicious actors aspire to influence election outcomes for financial or political benefit. A common means to such ends is by manipulating perceptions of the…

Computer Science and Game Theory · Computer Science 2022-06-22 Junlin Wu , Andrew Estornell , Lecheng Kong , Yevgeniy Vorobeychik

We develop a model of multiwinner elections that combines performance-based measures of the quality of the committee (such as, e.g., Borda scores of the committee members) with diversity constraints. Specifically, we assume that the…

Computer Science and Game Theory · Computer Science 2017-11-23 Robert Bredereck , Piotr Faliszewski , Ayumi Igarashi , Martin Lackner , Piotr Skowron

Referring to a standard context of voting theory, and to the classic notion of voting situation, here we show that it is possible to observe any arbitrary set of elections' outcomes, no matter how paradoxical it may appear. On this purpose…

Probability · Mathematics 2022-06-01 Emilio De Santis , Fabio Spizzichino

We propose a statistical framework for quantifying the importance of single events that do not provide intermediate rewards but offer implicit incentives through the reward structure at the end of a multi-event contest. Applying the…

Applications · Statistics 2022-07-07 Daniel Goller , Sandro Heiniger

We show a prototype of a system that uses multiwinner voting to suggest resources (such as movies) related to a given query set (such as a movie that one enjoys). Depending on the voting rule used, the system can either provide resources…

Computer Science and Game Theory · Computer Science 2022-02-09 Grzegorz Gawron , Piotr Faliszewski

Scoring rules aggregate individual rankings by assigning some points to each position in each ranking such that the total sum of points provides the overall ranking of the alternatives. They are widely used in sports competitions consisting…

Other Statistics · Statistics 2023-03-28 László Csató

We show how hidden interesting subelections can be discovered in ordinal elections. An interesting subelection consists of a reasonably large set of voters and a reasonably large set of candidates such that the former have a consistent…

Computer Science and Game Theory · Computer Science 2024-07-29 Łukasz Janeczko , Jérôme Lang , Grzegorz Lisowski , Stanisław Szufa