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The Gibbard-Satterthwaite theorem established that no non-trivial voting rule is strategy-proof, but that does not mean that all voting rules are equally susceptible to strategic manipulation. Over the past fifty years numerous approaches…

Computer Science and Game Theory · Computer Science 2022-03-30 Daria Teplova , Egor Ianovski

Bribery in an election is one of the well-studied control problems in computational social choice. In this paper, we propose and study the safe bribery problem. Here the goal of the briber is to ask the bribed voters to vote in such a way…

Computer Science and Game Theory · Computer Science 2023-09-07 Neel Karia , Faraaz Mallick , Palash Dey

We study the election control problem with multi-votes, where each voter can present a single vote according different views (or layers, we use "layer" to represent "view"). For example, according to the attributes of candidates, such as:…

Computational Complexity · Computer Science 2023-07-03 Fengbo Wang , Aizhong Zhou , Jianliang Xu

We focus on a generalization of the classic Minisum approval voting rule, introduced by Barrot and Lang (2016), and referred to as Conditional Minisum (CMS), for multi-issue elections with preferential dependencies. Under this rule, voters…

Computer Science and Game Theory · Computer Science 2025-06-10 Evangelos Markakis , Georgios Papasotiropoulos

Sequential voting rules have played a crucial role in shaping decisions within parliamentary and legislative frameworks. After observing that the existing sequential rules fail several fundamental axioms, Horan and Sprumont [2022] proposed…

Computer Science and Game Theory · Computer Science 2026-03-16 Yongjie Yang

We study electoral campaign management scenarios in which an external party can buy votes, i.e., pay the voters to promote its preferred candidate in their preference rankings. The external party's goal is to make its preferred candidate a…

Computer Science and Game Theory · Computer Science 2010-11-29 Edith Elkind , Piotr Faliszewski

The goal of this paper is to propose and study properties of multiwinner voting rules which can be consider as generalisations of single-winner scoring voting rules. We consider SNTV, Bloc, k-Borda, STV, and several variants of…

Computer Science and Game Theory · Computer Science 2015-06-10 Edith Elkind , Piotr Faliszewski , Piotr Skowron , Arkadii Slinko

Voter control problems model situations in which an external agent tries toaffect the result of an election by adding or deleting the fewest number of voters. The goal of the agent is to make a specific candidate either win…

Multiagent Systems · Computer Science 2017-01-19 Leon Kellerhals , Viatcheslav Korenwein , Philipp Zschoche , Robert Bredereck , Jiehua Chen

Given a set of agents with approval preferences over each other, we study the task of finding $k$ matchings fairly representing everyone's preferences. We model the problem as an approval-based multiwinner election where the set of…

Computer Science and Game Theory · Computer Science 2021-02-16 Niclas Boehmer , Markus Brill , Ulrike Schmidt-Kraepelin

We survey the design of elections that are resilient to attempted interference by third parties. For example, suppose votes have been cast in an election between two candidates, and then each vote is randomly changed with a small…

Probability · Mathematics 2021-07-13 Steven Heilman

We provide novel simple representations of strategy-proof voting rules when voters have uni-dimensional single-peaked preferences (as well as multi-dimensional separable preferences). The analysis recovers, links and unifies existing…

Computer Science and Game Theory · Computer Science 2022-06-17 Andrew Jennings , Rida Laraki , Clemens Puppe , Estelle Varloot

We study the computational complexity of bribery in parliamentary voting, in settings where the briber is (also) interested in the success of an entire set of political parties - a ``coalition'' - rather than an individual party. We…

Computer Science and Game Theory · Computer Science 2025-03-20 Hodaya Barr , Yonatan Aumann , Sarit Kraus

The Gibbard-Satterthwaite theorem states that no unanimous and non-dictatorial voting rule is strategyproof. We revisit voting rules and consider a weaker notion of strategyproofness called not obvious manipulability that was proposed by…

Computer Science and Game Theory · Computer Science 2022-06-15 Haris Aziz , Alexander Lam

Various voting rules are based on ranking the candidates by scores induced by aggregating voter preferences. A winner (respectively, unique winner) is a candidate who receives a score not smaller than (respectively, strictly greater than)…

Computer Science and Game Theory · Computer Science 2021-02-01 Aviram Imber , Benny Kimelfeld

Consider an election where the set of candidates is partitioned into parties, and each party must choose exactly one candidate to nominate for the election held over all nominees. The Necessary President problem asks whether a candidate, if…

Computer Science and Game Theory · Computer Science 2026-02-12 Katarína Cechlárová , Ildikó Schlotter

Studying complexity of various bribery problems has been one of the main research focus in computational social choice. In all the models of bribery studied so far, the briber has to pay every voter some amount of money depending on what…

Computer Science and Game Theory · Computer Science 2020-12-14 Palash Dey

We investigate how robust approval-based multiwinner voting rules are to small perturbations in the votes. In particular, we consider the extent to which a committee can change after we add/remove/swap one approval, and we consider the…

Computer Science and Game Theory · Computer Science 2026-01-28 Piotr Faliszewski , Grzegorz Gawron , Bartosz Kusek

Usually a voting rule requires agents to give their preferences as linear orders. However, in some cases it is impractical for an agent to give a linear order over all the alternatives. It has been suggested to let agents submit partial…

Computer Science and Game Theory · Computer Science 2014-01-17 Lirong Xia , Vincent Conitzer

By the Gibbard--Satterthwaite theorem, every reasonable voting rule for three or more alternatives is susceptible to manipulation: there exist elections where one or more voters can change the election outcome in their favour by…

Computer Science and Game Theory · Computer Science 2017-07-28 Edith Elkind , Umberto Grandi , Francesca Rossi , Arkadii Slinko

Multiwinner voting rules are used to select a small representative subset of candidates or items from a larger set given the preferences of voters. However, if candidates have sensitive attributes such as gender or ethnicity (when selecting…

Computers and Society · Computer Science 2018-06-20 L. Elisa Celis , Lingxiao Huang , Nisheeth K. Vishnoi