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We study a prototypical model of a Parliament with two Parties or two Political Coalitions and we show how the introduction of a variable percentage of randomly selected independent legislators can increase the global efficiency of a…

Physics and Society · Physics 2015-05-27 A. Pluchino , C. Garofalo , A. Rapisarda , S. Spagano , M. Caserta

Sortition is the practice of delegating public decision-making to randomly selected panels. Recently, it has gained momentum worldwide through its use in citizens' assemblies, sparking growing interest within the computer science community.…

Computer Science and Game Theory · Computer Science 2025-05-20 Johannes Brustle , Simone Fioravanti , Tomasz Ponitka , Jeremy Vollen

A population of voters must elect representatives among themselves to decide on a sequence of possibly unforeseen binary issues. Voters care only about the final decision, not the elected representatives. The disutility of a voter is…

Computer Science and Game Theory · Computer Science 2020-06-16 Reshef Meir , Fedor Sandomirskiy , Moshe Tennenholtz

Parliaments dominated by two political blocs often face legislative inefficiencies as polarization increases. A central institutional question concerns how majority and supermajority rules interact with parliamentary composition to balance…

Physics and Society · Physics 2026-03-31 Gerardo Millar-Sáez , Ignacio Ormazábal , Hernán F. Astudillo

Strategic manipulation of elections is typically studied in the context of promoting individual candidates. In parliamentary elections, however, the focus shifts: voters may care more about the overall governing coalition than the…

Computer Science and Game Theory · Computer Science 2026-01-13 Hodaya Barr , Eden Hartman , Yonatan Aumann , Sarit Kraus

Sortition is based on the idea of choosing randomly selected representatives for decision making. The main properties that make sortition particularly appealing are fairness -- all the citizens can be selected with the same probability --…

Computer Science and Game Theory · Computer Science 2024-06-04 Soroush Ebadian , Evi Micha

The apportionment problem constitutes a fundamental problem in democratic societies: How to distribute a fixed number of seats among a set of states in proportion to the states' populations? This--seemingly simple--task has led to a rich…

Computer Science and Game Theory · Computer Science 2024-11-01 Javier Cembrano , José Correa , Ulrike Schmidt-Kraepelin , Alexandros Tsigonias-Dimitriadis , Victor Verdugo

We consider three algorithms for allocating parliamentary seats by proportional representation. The usual approach to describing such algorithms is to compute a quota of votes that each party uses to "acquire'' representatives. This kind of…

Data Structures and Algorithms · Computer Science 2023-11-07 Raul Rojas

Peer reviews, evaluations, and selections are a fundamental aspect of modern science. Funding bodies the world over employ experts to review and select the best proposals from those submitted for funding. The problem of peer selection,…

Computer Science and Game Theory · Computer Science 2019-05-01 Haris Aziz , Omer Lev , Nicholas Mattei , Jeffrey S. Rosenschein , Toby Walsh

We present an alternative voting system that aims at bridging the gap between proportional representative systems and majoritarian, single winner election systems. The system lets people vote for multiple parties, but then assigns each…

Computer Science and Game Theory · Computer Science 2016-12-01 Pietro Speroni di Fenizio , Daniele A. Gewurz

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

We examine an approval-based model of Liquid Democracy with a budget constraint on voting and delegating costs, aiming to centrally select casting voters ensuring complete representation of the electorate. From a computational complexity…

Computer Science and Game Theory · Computer Science 2025-02-05 Shiri Alouf-Heffetz , Łukasz Janeczko , Grzegorz Lisowski , Georgios Papasotiropoulos

Direct democracy is a special case of an ensemble of classifiers, where every person (classifier) votes on every issue. This fails when the average voter competence (classifier accuracy) falls below 50%, which can happen in noisy settings…

Computer Science and Game Theory · Computer Science 2018-07-23 Malik Magdon-Ismail , Lirong Xia

Proponents of participatory democracy praise Liquid Democracy: decisions are taken by referendum, but voters delegate their votes freely. When better informed voters are present, delegation can increase the probability of a correct…

General Economics · Economics 2024-04-24 Victoria Mooers , Joseph Campbell , Alessandra Casella , Lucas de Lara , Dilip Ravindran

Most democratic countries use election methods to transform election results into whole numbers which usually give the number of seats in a legislative body the parties obtained. Which election method does this best can be specified by…

History and Overview · Mathematics 2015-10-27 Horst F. Niemeyer , Alice C. Niemeyer

The problem of how to allocate to states the seats in the US House of Representatives is the most studied instance of what is termed the `apportionment problem'. We propose a new method of apportionment which is stochastic, which meets the…

Statistics Theory · Mathematics 2007-06-13 Geoffrey Grimmett

In liquid democracy, agents can either vote directly or delegate their vote to a different agent of their choice. This results in a power structure in which certain agents possess more voting weight than others. As a result, it opens up…

Computer Science and Game Theory · Computer Science 2024-10-08 Shiri Alouf-Heffetz , Tanmay Inamdar , Pallavi Jain , Yash More , Nimrod Talmon

Liquid democracy is the principle of making collective decisions by letting agents transitively delegate their votes. Despite its significant appeal, it has become apparent that a weakness of liquid democracy is that a small subset of…

Computer Science and Game Theory · Computer Science 2019-11-20 Paul Gölz , Anson Kahng , Simon Mackenzie , Ariel D. Procaccia

Apportionment is the act of distributing the seats of a legislature among political parties (or states) in proportion to their vote shares (or populations). A famous impossibility by Balinski and Young (2001) shows that no apportionment…

Computer Science and Game Theory · Computer Science 2024-05-07 José Correa , Paul Gölz , Ulrike Schmidt-Kraepelin , Jamie Tucker-Foltz , Victor Verdugo

In parliamentary elections, parties compete for a limited, typically fixed number of seats. Most parliaments are assembled using apportionment methods that distribute the seats based on the parties' vote counts. Common apportionment methods…

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