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Competition between varying ideas, people and institutions fuels the dynamics of socio-economic systems. Numerous analyses of the empirical data extracted from different financial markets have established a consistent set of stylized facts…

Physics and Society · Physics 2018-10-17 A. Kononovicius

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

Motivated by mathematical tissue growth modelling, we consider the problem of approximating the dynamics of multicolor P\'olya urn processes that start with large numbers of balls of different colors and run for a long time. Using strong…

Probability · Mathematics 2021-07-01 Konstantin Borovkov

We consider subgraph counts in general preferential attachment models with power-law degree exponent $\tau>2$. For all subgraphs $H$, we find the scaling of the expected number of subgraphs as a power of the number of vertices. We prove our…

Probability · Mathematics 2026-01-14 Alessandro Garavaglia , Clara Stegehuis

The aim of this paper is to study the asymptotic behavior of strongly reinforced interacting urns with partial memory sharing. The reinforcement mechanism considered is as follows: draw at each step and for each urn a white or black ball…

Probability · Mathematics 2012-01-10 Mickaël Launay

Given a set of agents with approval preferences over each other, we study the task of finding $k$ matchings fairly representing everyone's preferences. We model the problem as an approval-based multiwinner election where the set of…

Computer Science and Game Theory · Computer Science 2021-02-16 Niclas Boehmer , Markus Brill , Ulrike Schmidt-Kraepelin

A classical problem in statistics is estimating the expected coverage of a sample, which has had applications in gene expression, microbial ecology, optimization, and even numismatics. Here we consider a related extension of this problem to…

Statistics Theory · Mathematics 2013-02-11 Jerrad Hampton , Manuel E. Lladser

Whether the goal is to analyze voting behavior, locate facilities, or recommend products, the problem of translating between (ordinal) rankings and (numerical) utilities arises naturally in many contexts. This task is commonly approached by…

Theoretical Economics · Economics 2026-02-03 Joshua Zeitlin , Corinna Coupette

We investigate efficient ways for the incorporation of liquid democracy into election settings in which voters submit cumulative ballots, i.e., when each voter is assigned a virtual coin that she can then distribute as she wishes among the…

Computer Science and Game Theory · Computer Science 2022-08-31 Matthias Köppe , Martin Koutecký , Krzysztof Sornat , Nimrod Talmon

Aggregated data in real world recommender applications often feature fat-tailed distributions of the number of times individual items have been rated or favored. We propose a model to simulate such data. The model is mainly based on social…

Physics and Society · Physics 2012-08-14 Marcel Blattner , Matus Medo

We consider a special case of the generalized P\'{o}lya's urn model introduced by Benaim et al (2013). Given a finite connected graph $G$, place a bin at each vertex. Two bins are called a pair if they share an edge of $G$. At discrete…

Probability · Mathematics 2014-10-06 Jun Chen , Cyrille Lucas

We consider inference for a collection of partially observed, stochastic, interacting, nonlinear dynamic processes. Each process is identified with a label called its unit, and our primary motivation arises in biological metapopulation…

Methodology · Statistics 2022-12-20 Edward L. Ionides , Ning Ning , Jesse Wheeler

Numerous models in opinion dynamics focus on the temporal dynamics within a single electoral unit (e.g., country). The empirical observations, on the other hand, are often made across multiple electoral units (e.g., polling stations) at a…

Physics and Society · Physics 2019-10-11 Aleksejus Kononovicius

In urgent decision making applications, ensemble simulations are an important way to determine different outcome scenarios based on currently available data. In this paper, we will analyze the output of ensemble simulations by considering…

Graphics · Computer Science 2019-10-21 Max Kontak , Jules Vidal , Julien Tierny

Understanding the structure and evolution of online bipartite networks is a significant task since they play a crucial role in various e-commerce services nowadays. Recently, various attempts have been tried to propose different models,…

Physics and Society · Physics 2015-06-11 C. -X. Zhang , Z. -K. Zhang , C. Liu

The major finding, of this article, is an ensemble method, but more exactly, a novel, better ranked voting system (and other variations of it), that aims to solve the problem of finding the best candidate to represent the voters. We have…

Artificial Intelligence · Computer Science 2021-10-15 Gabriel-Claudiu Grama

Gerrymandering is a practice of manipulating district boundaries and locations in order to achieve a political advantage for a particular party. Lewenberg, Lev, and Rosenschein [AAMAS 2017] initiated the algorithmic study of a…

Data Structures and Algorithms · Computer Science 2020-02-19 Eduard Eiben , Fedor V. Fomin , Fahad Panolan , Kirill Simonov

The stochastic dynamics of the multi-state voter model is investigated on a class of complex networks made of non-overlapping cliques, each hosting a political candidate and interacting with the others via Erd\H{o}s-R\'enyi links. Numerical…

Physics and Society · Physics 2014-06-10 Filippo Palombi , Simona Toti

Complex dynamical systems driven by the unravelling of information can be modelled effectively by treating the underlying flow of information as the model input. Complicated dynamical behaviour of the system is then derived as an output.…

Physics and Society · Physics 2019-11-05 Dorje C Brody

We study how office-seeking parties use direct democracy to shape elections. A party with a strong electoral base can benefit from using a binding referendum to resolve issues that divide its core supporters. When referendums do not bind,…

Theoretical Economics · Economics 2022-08-12 Peter Buisseret , Richard Van Weelden
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