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The paper addresses aggregation issues for composite (modular) solutions. A systemic view point is suggested for various aggregation problems. Several solution structures are considered: sets, set morphologies, trees, etc. Mainly, the…

Software Engineering · Computer Science 2011-12-01 Mark Sh. Levin

We study the dynamics of the nonlinear $q$-voter model with inflexible zealots in a finite well-mixed population. In this system, each individual supports one of two parties and is either a susceptible voter or an inflexible zealot. At each…

Physics and Society · Physics 2015-07-09 Mauro Mobilia

This study considers the method to derive a ranking of alternatives by aggregating the rankings submitted by several individuals who may not evaluate all of them. The collection of subsets of alternatives that individuals (can) evaluate is…

Theoretical Economics · Economics 2024-09-18 Yasunori Okumura

Consider a committee election consisting of (i) a set of candidates who are divided into arbitrary groups each of size ${at~most}$ two and a diversity constraint that stipulates the selection of ${at~least}$ one candidate from each group…

Computational Complexity · Computer Science 2025-10-22 Kunal Relia

Consider a distributed graph where each vertex holds one of two distinct opinions. In this paper, we are interested in synchronous voting processes where each vertex updates its opinion according to a predefined common local updating rule.…

Probability · Mathematics 2020-02-19 Nobutaka Shimizu , Takeharu Shiraga

In a crowd forecasting system, aggregation is an algorithm that returns aggregated probabilities for each question based on the probabilities provided per question by each individual in the crowd. Various aggregation methods have been…

Applications · Statistics 2022-03-18 Yuzhong Huang , Andres Abeliuk , Fred Morstatter , Pavel Atanasov , Aram Galstyan

Online social platforms increasingly rely on crowd-sourced systems to label misleading content at scale, but these systems must both aggregate users' evaluations and decide whose evaluations to trust. To address the latter, many platforms…

Social and Information Networks · Computer Science 2026-05-19 Yeganeh Alimohammadi , Karissa Huang , Christian Borgs , Jennifer Chayes

Traditionally, the problem of apportioning the seats of a legislative body has been viewed as a one-shot process with no dynamic considerations. While this approach is reasonable for some settings, dynamic aspects play an important role in…

Computer Science and Game Theory · Computer Science 2025-10-17 Javier Cembrano , Jose Correa , Svenja M. Griesbach , Victor Verdugo

We study the following multiagent variant of the knapsack problem. We are given a set of items, a set of voters, and a value of the budget; each item is endowed with a cost and each voter assigns to each item a certain value. The goal is to…

Computer Science and Game Theory · Computer Science 2018-11-14 Till Fluschnik , Piotr Skowron , Mervin Triphaus , Kai Wilker

This paper is concerned with the problem of controlling a system of constrained dynamic subsystems in a way that balances the performance degradation of decentralized control with the practical cost of centralized control. We propose a…

Systems and Control · Electrical Eng. & Systems 2020-01-29 Pablo R Baldivieso-Monasterios , Paul A Trodden

Majority voting is one of the few black-box interventions that can improve a fixed stochastic predictor: repeated access can be cheaper than changing a high-capability model. Classical fixed-competence theory makes this intervention look…

Machine Learning · Computer Science 2026-05-08 Yi Liu

A canonical problem in social choice is how to aggregate ranked votes: given $n$ voters' rankings over $m$ candidates, what voting rule $f$ should we use to aggregate these votes into a single winner? One standard method for comparing…

Computer Science and Game Theory · Computer Science 2023-08-08 Bailey Flanigan , Daniel Halpern , Alexandros Psomas

Manipulation is a problem of fundamental importance in the context of voting in which the voters exercise their votes strategically instead of voting honestly to prevent selection of an alternative that is less preferred. The…

Multiagent Systems · Computer Science 2015-02-17 Palash Dey , Neeldhara Misra , Y. Narahari

The Gibbard-Satterthwaite theorem states that every non-dictatorial election rule among at least three alternatives can be strategically manipulated. We prove a quantitative version of the Gibbard-Satterthwaite theorem: a random…

Combinatorics · Mathematics 2011-05-26 Ehud Friedgut , Gil Kalai , Nathan Keller , Noam Nisan

Democratic societies are built around the principle of free and fair elections, that each citizen's vote should count equal. National elections can be regarded as large-scale social experiments, where people are grouped into usually large…

Physics and Society · Physics 2013-06-28 Peter Klimek , Yuri Yegorov , Rudolf Hanel , Stefan Thurner

We give efficient "collaboration protocols" through which two parties, who observe different features about the same instances, can interact to arrive at predictions that are more accurate than either could have obtained on their own. The…

Machine Learning · Computer Science 2025-04-09 Natalie Collina , Ira Globus-Harris , Surbhi Goel , Varun Gupta , Aaron Roth , Mirah Shi

Multi-winner approval elections are seen in a variety of settings ranging from academic societies and associations to public elections. In such elections, it is often the case that ballot-length restrictions are enforced; that is, where…

Computer Science and Game Theory · Computer Science 2017-11-15 Barton E. Lee

Many hard computational social choice problems are known to become tractable when voters' preferences belong to a restricted domain, such as those of single-peaked or single-crossing preferences. However, to date, all algorithmic results of…

Computer Science and Game Theory · Computer Science 2016-02-12 Edith Elkind , Martin Lackner

May's Theorem [K. O. May, Econometrica 20 (1952) 680-684] characterizes majority voting on two alternatives as the unique preferential voting method satisfying several simple axioms. Here we show that by adding some desirable axioms to…

Theoretical Economics · Economics 2025-04-29 Wesley H. Holliday , Eric Pacuit

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