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We consider the problem of aggregating votes cast by a society on a fixed set of issues, where each member of the society may vote for one of several positions on each issue, but the combination of votes on the various issues is restricted…

Combinatorics · Mathematics 2016-09-07 Lefteris Kirousis , Phokion G. Kolaitis , John Livieratos

This paper describes COWPEA (Candidates Optimally Weighted in Proportional Election using Approval voting), a method of proportional representation that uses approval voting, also known as random priority, though underdeveloped in the…

Theoretical Economics · Economics 2025-04-23 Toby Pereira

In many proportional parliamentary elections, electoral thresholds (typically 3-5%) are used to promote stability and governability by preventing the election of parties with very small representation. However, these thresholds often result…

Computer Science and Game Theory · Computer Science 2025-03-24 Théo Delemazure , Rupert Freeman , Jérôme Lang , Jean-François Laslier , Dominik Peters

In many institutional settings, $k$ items are selected with the goal of representing the underlying distribution of claims, opinions, or characteristics in a large population. We study environments with two adversarial parties whose…

Theoretical Economics · Economics 2026-03-27 Alma Cohen , Alon Klement , Zvika Neeman , Eilon Solan

We study a general task allocation problem, involving multiple agents that collaboratively accomplish tasks and where agents may fail to successfully complete the tasks assigned to them (known as execution uncertainty). The goal is to…

Artificial Intelligence · Computer Science 2015-09-18 Dengji Zhao , Sarvapali D. Ramchurn , Nicholas R. Jennings

We consider approval-based committee voting, i.e. the setting where each voter approves a subset of candidates, and these votes are then used to select a fixed-size set of winners (committee). We propose a natural axiom for this setting,…

Multiagent Systems · Computer Science 2016-09-13 Haris Aziz , Markus Brill , Vincent Conitzer , Edith Elkind , Rupert Freeman , Toby Walsh

We study the control complexity of fallback voting. Like manipulation and bribery, electoral control describes ways of changing the outcome of an election; unlike manipulation or bribery attempts, control actions---such as…

Computer Science and Game Theory · Computer Science 2010-04-21 Gábor Erdélyi , Lena Piras , Jörg Rothe

Electoral control refers to attempts by an election's organizer ("the chair") to influence the outcome by adding/deleting/partitioning voters or candidates. The groundbreaking work of Bartholdi, Tovey, and Trick [BTT92] on (constructive)…

Computer Science and Game Theory · Computer Science 2008-09-26 Edith Hemaspaandra , Lane A. Hemaspaandra , Joerg Rothe

Are there voting methods which (i) give everyone, including minorities, an equal share of effective power even if voters act strategically, (ii) promote consensus rather than polarization and inequality, and (iii) do not favour the status…

General Economics · Economics 2020-06-12 Jobst Heitzig , Forest W. Simmons

In multiwinner approval voting, forming a committee that proportionally represents voters' approval ballots is an essential task. The notion of justified representation (JR) demands that any large "cohesive" group of voters should be…

Computer Science and Game Theory · Computer Science 2025-01-22 Yusuf Hakan Kalayci , Jiasen Liu , David Kempe

Judgment aggregation problems form a class of collective decision-making problems represented in an abstract way, subsuming some well known problems such as voting. A collective decision can be reached in many ways, but a direct one-step…

Artificial Intelligence · Computer Science 2016-08-30 Marija Slavkovik , Wojciech Jamroga

The dynamics of random transitive delegations on a graph are of particular interest when viewed through the lens of an emerging voting paradigm, liquid democracy. This paradigm allows voters to choose between directly voting and…

Discrete Mathematics · Computer Science 2024-08-28 Adam Berinsky , Daniel Halpern , Joseph Y. Halpern , Ali Jadbabaie , Elchanan Mossel , Ariel D. Procaccia , Manon Revel

The wisdom of the crowd has long become the de facto approach for eliciting information from individuals or experts in order to predict the ground truth. However, classical democratic approaches for aggregating individual \emph{votes} only…

Computer Science and Game Theory · Computer Science 2021-05-21 Hadi Hosseini , Debmalya Mandal , Nisarg Shah , Kevin Shi

In representative democracies, the election of new representatives in regular election cycles is meant to prevent corruption and other misbehavior by elected officials and to keep them accountable in service of the ``will of the people."…

Multiagent Systems · Computer Science 2023-02-27 Xiaolin Sun , Jacob Masur , Ben Abramowitz , Nicholas Mattei , Zizhan Zheng

We analyze Assessment Voting, a new two-round voting procedure that can be applied to binary decisions in democratic societies. In the first round, a randomly-selected number of citizens cast their vote on one of the two alternatives at…

Econometrics · Economics 2018-02-06 Hans Gersbach , Akaki Mamageishvili , Oriol Tejada

Fairness in multiwinner elections, a growing line of research in computational social choice, primarily concerns the use of constraints to ensure fairness. Recent work proposed a model to find a diverse \emph{and} representative committee…

Computer Science and Game Theory · Computer Science 2022-11-28 Kunal Relia

Numerous models in opinion dynamics focus on the temporal dynamics within a single electoral unit (e.g., country). The empirical observations, on the other hand, are often made across multiple electoral units (e.g., polling stations) at a…

Physics and Society · Physics 2019-10-11 Aleksejus Kononovicius

We study the problem of selecting a member of a set of agents based on impartial nominations by agents from that set. The problem was studied previously by Alon et al. and Holzman and Moulin and has important applications in situations…

Computer Science and Game Theory · Computer Science 2013-11-01 Felix Fischer , Max Klimm

Much research in electoral control -- one of the most studied form of electoral attacks, in which an entity running an election alters the structure of that election to yield a preferred outcome -- has focused on giving decision complexity…

Computer Science and Game Theory · Computer Science 2026-05-14 Huy Vu Bui , Michael C. Chavrimootoo , Kien T. Le , Son M. Nguyen

We study a generalization of the standard approval-based model of participatory budgeting (PB), in which voters are providing approval ballots over a set of predefined projects and -- in addition to a global budget limit, there are several…

Computer Science and Game Theory · Computer Science 2020-12-10 Pallavi Jain , Krzysztof Sornat , Nimrod Talmon , Meirav Zehavi
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