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Primary law of the European Union demands that the allocation of the seats of the European Parliament between the Member States must obey the principle of degressive proportionality. The principle embodies the political aim that the more…

Physics and Society · Physics 2018-02-22 Friedrich Pukelsheim , Geoffrey R. Grimmett

In participatory budgeting we are given a set of projects---each with a cost, an available budget, and a set of voters who in some form express their preferences over the projects. The goal is to select---based on voter preferences---a…

Multiagent Systems · Computer Science 2020-09-08 Piotr Skowron , Arkadii Slinko , Stanisław Szufa , Nimrod Talmon

I begin by summarizing key ideas of the paper under discussion. Then I will talk about a graphical modeling perspective, posterior contraction rates and alternative methods of aggregation. Moreover, I will also discuss possible applications…

Other Statistics · Statistics 2018-07-02 William Weimin Yoo

Sortition is a political system in which decisions are made by panels of randomly selected citizens. The process for selecting a sortition panel is traditionally thought of as uniform sampling without replacement, which has strong fairness…

Computer Science and Game Theory · Computer Science 2020-10-30 Bailey Flanigan , Paul Gölz , Anupam Gupta , Ariel Procaccia

In the present paper we propose a new approach on `distributed systems': the processes are represented through total orders and the communications are characterized by means of biorders. The resulting distributed systems capture situations…

Logic · Mathematics 2023-06-30 Asier Estevan Muguerza

We consider a distributed voting problem with a set of agents that are partitioned into disjoint groups and a set of obnoxious alternatives. Agents and alternatives are represented by points in a metric space. The goal is to compute the…

Computer Science and Game Theory · Computer Science 2024-12-17 Alexandros A. Voudouris

This paper presents a conformal prediction method for classification in highly imbalanced and open-set settings, where there are many possible classes and not all may be represented in the data. Existing approaches require a finite, known…

Machine Learning · Statistics 2025-10-16 Tianmin Xie , Yanfei Zhou , Ziyi Liang , Stefano Favaro , Matteo Sesia

Voting can abstractly model any decision-making scenario and as such it has been extensively studied over the decades. Recently, the related literature has focused on quantifying the impact of utilizing only limited information in the…

Computer Science and Game Theory · Computer Science 2020-01-07 Aris Filos-Ratsikas , Evi Micha , Alexandros A. Voudouris

Public opinion polling is usually done by random sampling from the entire population, treating individual opinions as independent. In the real world, individuals' opinions are often correlated, e.g., among friends in a social network. In…

Social and Information Networks · Computer Science 2016-11-28 Weiran Huang , Liang Li , Wei Chen

Randomisation and time-sharing are some of the oldest methods to achieve fairness. I make a case that applying these approaches to social choice settings constitutes a powerful paradigm that deserves an extensive and thorough examination. I…

Computer Science and Game Theory · Computer Science 2020-02-25 Haris Aziz

In participatory budgeting (PB), voters decide through voting which subset of projects to fund within a given budget. Proportionality in the context of PB is crucial to ensure equal treatment of all groups of voters. However, pure…

Computer Science and Game Theory · Computer Science 2025-07-08 Georgios Papasotiropoulos , Seyedeh Zeinab Pishbin , Oskar Skibski , Piotr Skowron , Tomasz Wąs

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

Recent works have studied the design of algorithms for selecting representative sortition panels. However, the most central question remains unaddressed: Do these panels reflect the entire population's opinion? We present a positive answer…

Computer Science and Game Theory · Computer Science 2024-06-05 Ioannis Caragiannis , Evi Micha , Jannik Peters

We study a variant of the voter model with multiple opinions; individuals can imitate each other and also change their opinion randomly in mutation events. We focus on the case of a population with all-to-all interaction. A noise-driven…

Physics and Society · Physics 2019-08-14 Francisco Herrerías-Azcué , Tobias Galla

In this paper, we consider the problem of unambiguous discrimination between a set of mixed quantum states. We first divide the density matrix of each mixed state into two parts by the fact that it comes from ensemble of pure quantum…

Quantum Physics · Physics 2007-05-23 Chi Zhang , Yuan Feng , Ming Sheng Ying

Understanding political phenomena requires measuring the political preferences of society. We introduce a model based on mixtures of spatial voting models that infers the underlying distribution of political preferences of voters with only…

Computers and Society · Computer Science 2016-10-27 Alison Nahm , Alex Pentland , Peter Krafft

As a case study into an algorithmic approach to congressional districting, North Carolina provides a lot to explore. Statistical modeling has called into question whether recent North Carolina district plans are unbiased. In particular, the…

Optimization and Control · Mathematics 2023-11-21 Jimmy Risk , Jennifer Switkes , Ann Zhang

Many democratic political parties hold primary elections, which nicely reflects their democratic nature and promote, among other things, the democratic value of inclusiveness. However, the methods currently used for holding such primary…

Multiagent Systems · Computer Science 2022-01-20 Ariel Rosenfeld , Ehud Shapiro , Nimrod Talmon

We study a model of a population making a binary decision based on information spreading within the population, which is fully connected or covering a square grid. We assume that a fraction of the population wants to make the choice of the…

Physics and Society · Physics 2016-05-24 Petter Holme , Hang-Hyun Jo

Participatory budgeting is one of the exciting developments in deliberative grassroots democracy. We concentrate on approval elections and propose proportional representation axioms in participatory budgeting, by generalizing relevant…

Computer Science and Game Theory · Computer Science 2017-11-23 Haris Aziz , Barton Lee , Nimrod Talmon
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