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Approval voting is widely used for making multi-winner voting decisions. The canonical rule (also called Approval Voting) used in the setting aims to maximize social welfare by selecting candidates with the highest number of approvals. We…

Computer Science and Game Theory · Computer Science 2026-04-21 Haris Aziz , Yuhang Guo , Venkateswara Rao Kagita , Baharak Rastegari , Mashbat Suzuki

We compare different actual forms of democracy and analyse in which way they are variations of a 'natural consensus decision process'. We analyse how 'consensus decision followed by majority voting' is open to 'false play' by the majority,…

Physics and Society · Physics 2010-04-16 Diederik Aerts

We consider the approval-based model of elections, and undertake a computational study of voting rules which select committees whose size is not predetermined. While voting rules that output committees with a predetermined number of winning…

Computer Science and Game Theory · Computer Science 2017-11-20 Piotr Faliszewski , Arkadii Slinko , Nimrod Talmon

The Gibbard-Satterthwaite theorem states that no unanimous and non-dictatorial voting rule is strategyproof. We revisit voting rules and consider a weaker notion of strategyproofness called not obvious manipulability that was proposed by…

Computer Science and Game Theory · Computer Science 2022-06-15 Haris Aziz , Alexander Lam

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

What role do non-elected bureaucrats play when elections provide imperfect accountability and create incentives for pandering? We develop a model where politicians and bureaucrats interact to implement policy. Both can either be good,…

General Economics · Economics 2025-10-03 Simon Lodato , Christos Mavridis , Federico Vaccari

We consider a voting scenario in which the resource to be voted upon may consist of both indivisible and divisible goods. This setting generalizes both the well-studied model of multiwinner voting and the recently introduced model of cake…

Computer Science and Game Theory · Computer Science 2024-10-14 Xinhang Lu , Jannik Peters , Haris Aziz , Xiaohui Bei , Warut Suksompong

In this paper, we propose an improved version of the power index related to the Banzhaf power index for weighted voting systems. This index now takes into account the mutual persuasion power matrix(PPM) existing among the voters. This…

Combinatorics · Mathematics 2020-02-18 Krishna V. Acharya , Himadri Mukherjee , Jajati Keshari Sahoo

Voting methods are instrumental design elements of democracies. Citizens use them to express and aggregate their preferences to reach a collective decision. However, voting outcomes can be as sensitive to voting rules as they are to…

Quadratic Voting (QV) is a social choice mechanism that addresses the "tyranny of the majority" of one-person-one-vote mechanisms. Agents express not only their preference ordering but also their preference intensity by purchasing $x$ votes…

Computer Science and Game Theory · Computer Science 2024-09-11 Laura Georgescu , James Fox , Anna Gautier , Michael Wooldridge

It is well known, by the Gibbard-Satterthwaite Theorem, that when there are more than two candidates, any non-dictatorial voting rule can be manipulated by untruthful voters. But how strong is the incentive to manipulate under different…

Computer Science and Game Theory · Computer Science 2026-02-27 Ratip Emin Berker , Vincent Conitzer , Eden Hartman , Jiayuan Liu , Caspar Oesterheld

There is a class of models for pol/mil/econ bargaining and conflict that is loosely based on the Median Voter Theorem which has been used with great success for about 30 years. However, there are fundamental mathematical limitations to…

Computer Science and Game Theory · Computer Science 2015-05-12 Ben Wise , Steven Bankes

We consider elections where both voters and candidates can be associated with points in a metric space and voters prefer candidates that are closer to those that are farther away. It is often assumed that the optimal candidate is the one…

Computer Science and Game Theory · Computer Science 2019-01-23 Grzegorz Pierczyński , Piotr Skowron

We present theoretical and empirical results demonstrating the usefulness of voting rules for participatory democracies. We first give algorithms which efficiently elicit \epsilon-approximations to two prominent voting rules: the Borda rule…

Multiagent Systems · Computer Science 2014-07-17 David Lee , Ashish Goel , Tanja Aitamurto , Helene Landemore

Measures of voting power have been the subject of extensive research since the mid 1940s. More recently, similar measures of relative importance have been studied in other domains that include inconsistent knowledge bases, intensity of…

Artificial Intelligence · Computer Science 2024-10-11 Joao Marques-Silva , Carlos Mencía , Raúl Mencía

We examine the determinants of the EU budget expenditures allocation among different countries. In line with earlier literature, we consider two alternative explanations for the EU budget distribution: political power vs. needs view.…

Economics · Quantitative Finance 2016-06-29 Vera Zaporozhets , María García-Valiñas , Sascha Kurz

We study the election control problem with multi-votes, where each voter can present a single vote according different views (or layers, we use "layer" to represent "view"). For example, according to the attributes of candidates, such as:…

Computational Complexity · Computer Science 2023-07-03 Fengbo Wang , Aizhong Zhou , Jianliang Xu

We analyse two-tier voting systems with voters described by a multi-group mean-field model that allows for correlated voters both within groups as well as across group boundaries. In this model voters are influenced by voters within their…

Probability · Mathematics 2025-09-16 Werner Kirsch , Gabor Toth

Weighted voting games are a well-known and useful class of succinctly representable simple games that have many real-world applications, e.g., to model collective decision-making in legislative bodies or shareholder voting. Among the…

Computer Science and Game Theory · Computer Science 2024-08-20 Joanna Kaczmarek , Jörg Rothe

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