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Weighted voting games are ubiquitous mathematical models which are used in economics, political science, neuroscience, threshold logic, reliability theory and distributed systems. They model situations where agents with variable voting…

Computer Science and Game Theory · Computer Science 2010-02-02 Haris Aziz , Mike Paterson

Motivated by the difficulty of specifying complete ordinal preferences over a large set of $m$ candidates, we study voting rules that are computable by querying voters about $t < m$ candidates. Generalizing prior works that focused on…

Computer Science and Game Theory · Computer Science 2024-09-30 Daniel Halpern , Safwan Hossain , Jamie Tucker-Foltz

We initiate the study of external manipulations in Stable Marriage by considering several manipulative actions as well as several manipulation goals. For instance, one goal is to make sure that a given pair of agents is matched in a stable…

Computer Science and Game Theory · Computer Science 2021-08-23 Niclas Boehmer , Robert Bredereck , Klaus Heeger , Rolf Niedermeier

Understanding when and how computational complexity can be used to protect elections against different manipulative actions has been a highly active research area over the past two decades. A recent body of work, however, has shown that…

Computer Science and Game Theory · Computer Science 2015-11-26 Vijay Menon , Kate Larson

Complexity theory as practiced by physicists and computational complexity theory as practiced by computer scientists both characterize how difficult it is to solve complex problems. Here it is shown that the parameters of a specific model…

Disordered Systems and Neural Networks · Physics 2013-05-29 S. N. Coppersmith

Manipulation models for electoral systems are a core research theme in social choice theory; they include bribery (unweighted, weighted, swap, shift, ...), control (by adding or deleting voters or candidates), lobbying in referenda and…

Multiagent Systems · Computer Science 2018-01-30 Dušan Knop , Martin Koutecký , Matthias Mnich

We investigate two systems of fully proportional representation suggested by Chamberlin Courant and Monroe. Both systems assign a representative to each voter so that the "sum of misrepresentations" is minimized. The winner determination…

Computer Science and Game Theory · Computer Science 2014-02-05 Nadja Betzler , Arkadii Slinko , Johannes Uhlmann

In the celebrated stable-matching problem, there are two sets of agents M and W, and the members of M only have preferences over the members of W and vice versa. It is usually assumed that each member of M and W is a single entity. However,…

Computer Science and Game Theory · Computer Science 2024-08-21 Leora Schmerler , Noam Hazon , Sarit Kraus

Walsh [Wal10, Wal09], Davies et al. [DKNW10, DKNW11], and Narodytska et al. [NWX11] studied various voting systems empirically and showed that they can often be manipulated effectively, despite their manipulation problems being NP-hard.…

Computer Science and Game Theory · Computer Science 2015-03-20 Joerg Rothe , Lena Schend

We present an online voting architecture based on partitioning the election in small clusters of voters and using a new Multi-party Computation algorithm for obtaining voting results from the clusters. This new algorithm has some practical…

Cryptography and Security · Computer Science 2016-03-15 Juanjo Bermúdez

Decision makers are often confronted with complex tasks which cannot be solved by an individual alone, but require collaboration in the form of a coalition. Previous literature argues that instability, in terms of the re-organization of a…

General Economics · Economics 2020-10-08 Dario Blanco-Fernandez , Stephan Leitner , Alexandra Rausch

While manipulative attacks on elections have been well-studied, only recently has attention turned to attacks that account for geographic information, which are extremely common in the real world. The most well known in the media is…

Computer Science and Game Theory · Computer Science 2020-03-17 Zack Fitzsimmons , Omer Lev

We study the problem of election control through social influence when the manipulator is allowed to use the locations that she acquired on the network for sending \emph{both} positive and negative messages on \emph{multiple} candidates,…

Computer Science and Game Theory · Computer Science 2019-02-14 Matteo Castiglioni , Diodato Ferraioli , Giulia Landriani , Nicola Gatti

There is growing evidence of systematic attempts to influence democratic elections by controlled and digitally organized dissemination of fake news. This raises the question of the intrinsic robustness of democratic electoral processes…

Physics and Society · Physics 2024-01-03 Glory M. Givi , Robin Delabays , Matthieu Jacquemet , Philippe Jacquod

The Possible Winner (PW) problem, a fundamental algorithmic problem in computational social choice, concerns elections where voters express only partial preferences between candidates. Via a sequence of investigations, a complete…

Computer Science and Game Theory · Computer Science 2020-03-26 Vishal Chakraborty , Phokion G. Kolaitis

This paper investigates why and when the edge-based districting problem becomes computationally intractable. The overall problem is represented as an exact mathematical programming formulation consisting of an objective function and several…

Discrete Mathematics · Computer Science 2025-10-30 Niklas Jost , Adolfo Escobedo , Alice Kirchheim

Computation plays a key role in predicting and analyzing natural phenomena. There are two fundamental barriers to our ability to computationally understand the long-term behavior of a dynamical system that describes a natural process. The…

Computational Complexity · Computer Science 2017-02-15 Mark Braverman , Alexander Grigo , Cristobal Rojas

Coalitional voting games appear in different forms in multi-agent systems, social choice and threshold logic. In this paper, the complexity of comparison of influence between players in coalitional voting games is characterized. The…

Computer Science and Game Theory · Computer Science 2008-09-04 Haris Aziz

We study here several variants of the covariates fine balance problem where we generalize some of these problems and introduce a number of others. We present here a comprehensive complexity study of the covariates problems providing…

Data Structures and Algorithms · Computer Science 2020-09-18 Dorit S. Hochbaum , Asaf Levin , Xu Rao

This article surveys the burgeoning area at the intersection of dynamical systems theory and algorithms for NP-hard problems. Traditionally, computational complexity and the analysis of non-deterministic polynomial-time (NP)-hard problems…

Optimization and Control · Mathematics 2020-05-12 Tuhin Sahai