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We study a portioning setting in which a public resource such as time or money is to be divided among a given set of candidates, and each agent proposes a division of the resource. We consider two families of aggregation rules for this…

Computer Science and Game Theory · Computer Science 2026-01-27 Edith Elkind , Matthias Greger , Patrick Lederer , Warut Suksompong , Nicholas Teh

The literature on judgment aggregation is moving from studying impossibility results regarding aggregation rules towards studying specific judgment aggregation rules. Here we give a structured list of most rules that have been proposed and…

Artificial Intelligence · Computer Science 2016-12-07 Jerôme Lang , Gabriella Pigozzi , Marija Slavkovik , Leendert van der Torre , Srdjan Vesic

Reasoning about agent preferences on a set of alternatives, and the aggregation of such preferences into some social ranking is a fundamental issue in reasoning about uncertainty and multi-agent systems. When the set of agents and the set…

Computer Science and Game Theory · Computer Science 2012-07-19 Moshe Tennenholtz

In the classic scoring rule setting, a principal incentivizes an agent to truthfully report their probabilistic belief about some future outcome. This paper addresses the situation when this private belief, rather than a classical…

Computer Science and Game Theory · Computer Science 2022-03-16 Rafael Frongillo

A recent work by Hern\'andez et al. introduced a networked voting rule supported by a trust-based social network, where indications of possible representatives were based on individuals opinions. Individual contributions went beyond a…

Physics and Society · Physics 2020-07-01 Alexis R. Hernandez , Carlos Gracia-Lazaro , Edgardo Brigatti , Yamir Moreno

We study the approval-based multi-winner election problem where $n$ voters jointly decide a committee of $k$ winners from $m$ candidates. We focus on the axiom \emph{average justified representation} (AJR) proposed by Fernandez, Elkind,…

Computer Science and Game Theory · Computer Science 2025-10-22 Qishen Han , Biaoshuai Tao , Lirong Xia , Chengkai Zhang , Houyu Zhou

We establish a link between multiwinner elections and apportionment problems by showing how approval-based multiwinner election rules can be interpreted as methods of apportionment. We consider several multiwinner rules and observe that…

Computer Science and Game Theory · Computer Science 2021-04-21 Markus Brill , Jean-François Laslier , Piotr Skowron

Over the past few years, the (parameterized) complexity landscape of constructive control for many prevalent approval-based multiwinner voting (ABMV) rules has been explored. We expand these results in two directions. First, we study…

Computer Science and Game Theory · Computer Science 2023-07-04 Yongjie Yang

Scoring protocols are a broad class of voting systems. Each is defined by a vector $(\alpha_1,\alpha_2,...,\alpha_m)$, $\alpha_1 \geq \alpha_2 \geq >... \geq \alpha_m$, of integers such that each voter contributes $\alpha_1$ points to…

Computer Science and Game Theory · Computer Science 2007-05-23 Edith Hemaspaandra , Lane A. Hemaspaandra

Liquid democracy is a novel paradigm for collective decision-making that gives agents the choice between casting a direct vote or delegating their vote to another agent. We consider a generalization of the standard liquid democracy setting…

Computer Science and Game Theory · Computer Science 2021-12-15 Markus Brill , Théo Delemazure , Anne-Marie George , Martin Lackner , Ulrike Schmidt-Kraepelin

In this paper, I characterize minimal stable voting rules and minimal self-stable constitutions (i.e., pairs of voting rules) for societies in which only power matters. To do so, I first let players' preference profiles over voting rules…

Theoretical Economics · Economics 2025-08-26 Héctor Hermida-Rivera

This paper deals with interactions between committee members as they rank a large list of applicants for a given position and eventually reach consensus. We will see that for a natural deterministic model the ranking can be described by…

Analysis of PDEs · Mathematics 2015-08-18 Tobias Holck Colding , William P. Minicozzi

We introduce a general framework for exploring the problem of selecting a committee of representatives with the aim of studying a networked voting rule based on a decentralized large-scale platform, which can assure a strong accountability…

Physics and Society · Physics 2018-01-17 Alexis R. Hernandez , Carlos Gracia-Lazaro , Edgardo Brigatti , Yamir Moreno

Agents vote to choose a fair mixture of public outcomes; each agent likes or dislikes each outcome. We discuss three outstanding voting rules. The Conditional Utilitarian rule, a variant of the random dictator, is Strategyproof and…

Computer Science and Game Theory · Computer Science 2017-12-08 Haris Aziz , Anna Bogomolnaia , Herve Moulin

Committee selection with diversity or distributional constraints is a ubiquitous problem. However, many of the formal approaches proposed so far have certain drawbacks including (1) computationally intractability in general, and (2)…

Artificial Intelligence · Computer Science 2018-04-02 Haris Aziz

The study of fairness in multiwinner elections focuses on settings where candidates have attributes. However, voters may also be divided into predefined populations under one or more attributes (e.g., "California" and "Illinois" populations…

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

When selecting multiple candidates based on approval preferences of agents, the proportional representation of agents' opinions is an important and well-studied desideratum. Existing criteria for evaluating the representativeness of…

Computer Science and Game Theory · Computer Science 2024-10-02 Markus Brill , Jonas Israel , Evi Micha , Jannik Peters

An important desideratum in approval-based multiwinner voting is proportionality. We study the problem of reconfiguring proportional committees: given two proportional committees, is there a transition path that consists only of…

Computer Science and Game Theory · Computer Science 2025-04-22 Chris Dong , Fabian Frank , Jannik Peters , Warut Suksompong

We take an axiomatic approach to study redistribution problems when agents report income and needs. We formalize axioms reflecting ethical and operational principles such as additivity, impartiality and individual rationality. Different…

Theoretical Economics · Economics 2024-12-30 Ricardo Martinez , Juan D. Moreno-Ternero

An axiomatic approach is applied to the problem of extracting a ranking of the alternatives from a pairwise comparison ratio matrix. The ordering induced by row geometric mean method is proved to be uniquely determined by three independent…

Optimization and Control · Mathematics 2018-11-27 László Csató