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Coalitional manipulation in voting is considered to be any scenario in which a group of voters decide to misrepresent their vote in order to secure an outcome they all prefer to the first outcome of the election when they vote honestly. The…

Theoretical Economics · Economics 2020-09-28 Mostapha Diss , Boris Tsvelikhovskiy

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

We propose a design for philanthropic or publicly-funded seeding to allow (near) optimal provision of a decentralized, self-organizing ecosystem of public goods. The concept extends ideas from Quadratic Voting to a funding mechanism for…

General Economics · Economics 2020-08-18 Vitalik Buterin , Zoe Hitzig , E. Glen Weyl

Multi-winner voting plays a crucial role in selecting representative committees based on voter preferences. Previous research has predominantly focused on single-stage voting rules, which are susceptible to manipulation during preference…

Computer Science and Game Theory · Computer Science 2024-02-06 Shengjie Gong , Lingxiao Huang , Shuangping Huang , Yuyi Wang , Zhiqi Wang , Tao Xiao , Xiang Yan , Chunxue Yang

We study the problem of fair sequential decision making given voter preferences. In each round, a decision rule must choose a decision from a set of alternatives where each voter reports which of these alternatives they approve. Instead of…

Computer Science and Game Theory · Computer Science 2025-03-18 Nikhil Chandak , Shashwat Goel , Dominik Peters

A project (e.g., writing a collaborative research paper) is often a group effort. At the end, each contributor identifies their contribution, often verbally. The reward, however, is very frequently financial. It leads to the question of…

Discrete Mathematics · Computer Science 2026-03-09 Konrad Kułakowski , Jacek Szybowski

Given a large population, it is an intensive task to gather individual preferences over a set of alternatives and arrive at an aggregate or collective preference of the population. We show that social network underlying the population can…

Social and Information Networks · Computer Science 2017-11-17 Swapnil Dhamal , Rohith D. Vallam , Y. Narahari

With the development of machine learning and Big Data, the concepts of linear and non-linear optimization techniques are becoming increasingly valuable for many quantitative disciplines. Problems of that nature are typically solved using…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-21 Wiktor Maj

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

A "repeat voting" procedure is proposed, whereby voting is carried out in two identical rounds. Every voter can vote in each round, the results of the first round are made public before the second round, and the final result is determined…

Theoretical Economics · Economics 2022-11-30 Sergiu Hart

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

We study a class of elections in which the input format is trichotomous and allows voters to elicit their negative feelings explicitly. In particular, we study multiwinner elections with a special proclivity to elect proportionally…

Computer Science and Game Theory · Computer Science 2021-01-14 Nimrod Talmon , Rutvik Page

A method is given for quantitatively rating the social acceptance of different options which are the matter of a preferential vote. In contrast to a previous article, here the individual votes are allowed to be incomplete, that is, they…

Optimization and Control · Mathematics 2012-03-09 Rosa Camps , Xavier Mora , Laia Saumell

We propose a probabilistic model to aggregate the answers of respondents answering multiple-choice questions. The model does not assume that everyone has access to the same information, and so does not assume that the consensus answer is…

Machine Learning · Statistics 2017-03-16 John McCoy , Drazen Prelec

Rating aggregation plays a crucial role in various fields, such as product recommendations, hotel rankings, and teaching evaluations. However, traditional averaging methods can be affected by participation bias, where some raters do not…

Machine Learning · Computer Science 2025-02-07 Yongkang Guo , Yuqing Kong , Jialiang Liu

Consider an election where N seats are distributed among parties with proportions p_1,...,p_m of the votes. We study, for the common divisor and quota methods, the asymptotic distribution, and in particular the mean, of the seat excess of a…

Probability · Mathematics 2011-10-31 Svante Janson

Consideration was given to a model of social dynamics controlled by successive collective decisions based on the threshold majority procedures. The current system state is characterized by the vector of participants' capitals (utilities).…

Optimization and Control · Mathematics 2009-02-27 V. I. Borzenko , Z. M. Lezina , A. K. Loginov , Ya. Yu. Tsodikova , P. Yu. Chebotarev

When selecting committees based on preferences of voters, a variety of different criteria can be considered. Two natural objectives are maximizing the utilitarian welfare (the sum of voters' utilities) and coverage (the number of…

Computer Science and Game Theory · Computer Science 2023-12-14 Markus Brill , Jannik Peters

During deliberation processes, mediators and facilitators typically need to select a small and representative set of opinions later used to produce digestible reports for stakeholders. In online deliberation platforms, algorithmic selection…

Computers and Society · Computer Science 2026-02-18 Salim Hafid , Manon Berriche , Jean-Philippe Cointet

Crowdsourcing provides a popular paradigm for data collection at scale. We study the problem of selecting subsets of workers from a given worker pool to maximize the accuracy under a budget constraint. One natural question is whether we…

Machine Learning · Statistics 2015-02-04 Hongwei Li , Qiang Liu