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Proportional representation (PR) is one of the central principles in voting. Elegant rules with compelling PR axiomatic properties have the potential to be adopted for several important collective decision making settings. I survey some…

计算机科学与博弈论 · 计算机科学 2018-02-06 Haris Aziz

Proportional representation plays a crucial role in electoral systems. In ordinal elections, where voters rank candidates based on their preferences, the Single Transferable Vote (STV) is the most widely used proportional voting method. STV…

计算机科学与博弈论 · 计算机科学 2025-05-02 Tuva Bardal , Markus Brill , David McCune , Jannik Peters

The goal of multi-winner elections is to choose a fixed-size committee based on voters' preferences. An important concern in this setting is representation: large groups of voters with cohesive preferences should be adequately represented…

计算机科学与博弈论 · 计算机科学 2025-12-10 Luis Sánchez-Fernández , Edith Elkind , Martin Lackner , Norberto Fernández , Jesús A. Fisteus , Pablo Basanta Val , Piotr Skowron

Proportional representation (PR) is a fundamental principle of many democracies world-wide which employ PR-based voting rules to elect their representatives. The normative properties of these voting rules however, are often only understood…

计算机科学与博弈论 · 计算机科学 2018-01-30 Barton E. Lee

We study proportional representation in the framework of temporal voting with approval ballots. Prior work adapted basic proportional representation concepts -- justified representation (JR), proportional JR (PJR), and extended JR (EJR) --…

计算机科学与博弈论 · 计算机科学 2025-05-29 Bradley Phillips , Edith Elkind , Nicholas Teh , Tomasz Wąs

Criteria for a good voting system have been given particularly careful scrutiny in recent years, with general agreement that the core values are fair results, voter power and choice, and local representation. This paper reexamines the basic…

物理与社会 · 物理学 2023-03-29 Denis Mollison

Even though proportional representation is a fundamental goal in multiwinner voting and a plethora of proportionality notions has been introduced, the normative justifications for choosing one notion over another remain poorly understood.…

计算机科学与博弈论 · 计算机科学 2026-05-07 Chris Dong , Jannik Peters

We introduce a novel definition for a small set R of k points being "representative" of a larger set in a metric space. Given a set V (e.g., documents or voters) to represent, and a set C of possible representatives, our criterion requires…

计算机科学与博弈论 · 计算机科学 2024-01-25 Yusuf Hakan Kalayci , David Kempe , Vikram Kher

When selecting a subset of candidates (a so-called committee) based on the preferences of voters, proportional representation is often a major desideratum. When going beyond simplistic models such as party-list or district-based elections,…

计算机科学与博弈论 · 计算机科学 2023-02-07 Markus Brill , Jannik Peters

The study of proportionality in multiwinner voting with approval ballots has received much attention in recent years. Typically, proportionality is captured by variants of the Justified Representation axiom, which say that cohesive groups…

计算机科学与博弈论 · 计算机科学 2025-08-04 Matthew M. Casey , Edith Elkind

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,…

多智能体系统 · 计算机科学 2016-09-13 Haris Aziz , Markus Brill , Vincent Conitzer , Edith Elkind , Rupert Freeman , Toby Walsh

We study multiwinner elections with approval-based preferences. An instance of a multiwinner election consists of a set of alternatives, a population of voters---each voter approves a subset of alternatives, and the desired committee size…

计算机科学与博弈论 · 计算机科学 2019-10-15 Piotr Skowron

Multiwinner voting rules can be used to select a fixed-size committee from a larger set of candidates. We consider approval-based committee rules, which allow voters to approve or disapprove candidates. In this setting, several voting rules…

计算机科学与博弈论 · 计算机科学 2024-11-05 Dominik Peters

We consider a voting model, where a number of candidates need to be selected subject to certain feasibility constraints. The model generalises committee elections (where there is a single constraint on the number of candidates that need to…

计算机科学与博弈论 · 计算机科学 2025-09-24 Tomáš Masařík , Grzegorz Pierczyński , Piotr Skowron

We study committee voting rules under ranked preferences, which map the voters' preference relations to a subset of the alternatives of predefined size. In this setting, the compatibility between proportional representation and committee…

计算机科学与博弈论 · 计算机科学 2025-03-11 Haris Aziz , Patrick Lederer , Dominik Peters , Jannik Peters , Angus Ritossa

We study voting rules for participatory budgeting, where a group of voters collectively decides which projects should be funded using a common budget. We allow the projects to have arbitrary costs, and the voters to have arbitrary additive…

计算机科学与博弈论 · 计算机科学 2022-10-18 Dominik Peters , Grzegorz Pierczyński , Piotr Skowron

The voting systems known as Alternative Vote (AV) and Single Transferable Vote (STV) are extensively used for elections in Australia, possibly more than in any other jurisdiction. Often proposed as superior alternatives to Plurality and…

物理与社会 · 物理学 2025-07-22 Anthony B. Morton

The proportional veto principle, which captures the idea that a candidate vetoed by a large group of voters should not be chosen, has been studied for ranked ballots in single-winner voting. We introduce a version of this principle for…

计算机科学与博弈论 · 计算机科学 2025-05-05 Daniel Halpern , Ariel D. Procaccia , Warut Suksompong

Justified representation (JR) and extended justified representation (EJR) are well-established proportionality axioms in approval-based multiwinner voting. Both axioms are always satisfiable, but they rely on a fixed quota (typically Hare…

计算机科学与博弈论 · 计算机科学 2026-02-18 Patrick Becker , Fabian Frank

Participatory budgeting (PB) is a democratic paradigm whereby voters decide on a set of projects to fund with a limited budget. We consider PB in a setting where voters report ordinal preferences over projects and have (possibly) asymmetric…

计算机科学与博弈论 · 计算机科学 2020-12-11 Haris Aziz , Barton E. Lee
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