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Data of proportional elections show a striking feature: If the parties are ranked according to the number of their voters, the number of votes grows exponentially with the rank of the party. This so-called Zipf's law has been reported…

Physics and Society · Physics 2018-03-30 Volker Hösel , Johannes Müller , Aurélien Tellier

A national voting population, when segmented into groups like, for example, different states, can yield a counter-intuitive scenario where the winner may not necessarily get the most number of total votes. A recent example is the 2016…

Physics and Society · Physics 2017-09-06 Soumyajyoti Biswas , Parongama Sen

Democracies employ elections at various scales to select officials at the corresponding levels of administration. The geographical distribution of political opinion, the policy issues delegated to each level, and the multilevel interactions…

Applications · Statistics 2022-11-03 Sihao Huang , Alexander F. Siegenfeld , Andrew Gelman

The internet has been blurring the lines between local and global cultures, affecting in different ways the perception of people about themselves and others. In the global context of the internet, search engine platforms are a key mediator…

Computers and Society · Computer Science 2016-11-09 Gabriel Magno , Camila Souza Araújo , Wagner Meira , Virgilio Almeida

The outcome of an election depends not only on which candidate is more popular, but also on how many of their voters actually turn out to vote. Here we consider a simple model in which voters abstain from voting if they think their vote…

Physics and Society · Physics 2021-12-01 Ekaterina Landgren , Jonas L. Juul , Steven H. Strogatz

Large-scale networks of human interaction, in particular country-wide telephone call networks, can be used to redraw geographical maps by applying algorithms of topological community detection. The geographic projections of the emerging…

Social and Information Networks · Computer Science 2013-12-23 Stanislav Sobolevsky , Michael Szell , Riccardo Campari , Thomas Couronné , Zbigniew Smoreda , Carlo Ratti

In this work we apply techniques and modus operandi typical of Statistical Mechanics to a large dataset about key social quantifiers and compare the resulting behaviours of five European nations, namely France, Germany, Italy, Spain and…

UN migration data and Hofstede's six cultural dimensions make it possible to find a connection between migration patterns and culture from a longterm perspective. Migrant patterns have been studied from the perspective of both immigrants…

General Economics · Economics 2025-04-14 Tomáš Evan , Eva Fišerová , Aneta Elgnerová

The voter model is a toy model of consensus formation based on nearest-neighbor interactions. A voter sits at each vertex in a hypercubic lattice (of dimension $d$) and is in one of two possible opinion states. The opinion state of each…

Statistical Mechanics · Physics 2023-11-08 Pascal Grange

We consider the herding to non-herding transition caused by idiosyncratic choices or imperfect imitation in the context of the Kirman Model for financial markets, or equivalently the Noisy Voter Model for opinion formation. In these…

Physics and Society · Physics 2019-09-19 Oriol Artime , Adrián Carro , Antonio F. Peralta , José J. Ramasco , Maxi San Miguel , Raúl Toral

We hypothesize that if election results are manipulated or forged, then, due to the well-known human attraction to round numbers, the frequency of reported round percentages can be increased. To test this hypothesis, we analyzed raw data…

Applications · Statistics 2016-06-30 Dmitry Kobak , Sergey Shpilkin , Maxim S. Pshenichnikov

In this paper, we discuss the possible generalizations of the Social Influence with Recurrent Mobility (SIRM) model developed in Phys. Rev. Lett. 112, 158701 (2014). Although the SIRM model worked approximately satisfying when US election…

Physics and Society · Physics 2018-06-27 Jérôme Michaud , Attila Szilva

Two of the main factors shaping an individual's opinion are social coordination and personal preferences, or personal biases. To understand the role of those and that of the topology of the network of interactions, we study an extension of…

Physics and Society · Physics 2023-06-07 Filippo Zimmaro , Pierluigi Contucci , János Kertész

For a binary choice problem, the spatial coordination of decisions in an agent community is investigated both analytically and by means of stochastic computer simulations. The individual decisions are based on different local information…

Statistical Mechanics · Physics 2009-11-07 Frank Schweitzer , Joerg Zimmermann , Heinz Muehlenbein

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

The voter model is a classical interacting particle system, modelling how global consensus is formed by local imitation. We analyse the time to consensus for a particular family of voter models when the underlying structure is a scale-free…

Probability · Mathematics 2024-01-11 John Fernley

Most of the conventional models for opinion dynamics mainly account for a fully local influence, where myopic agents decide their actions after they interact with other agents that are adjacent to them. For example, in the case of social…

Physics and Society · Physics 2013-05-10 Babak Fotouhi , Michael G. Rabbat

A mass ejection model in a time-dependent random environment with both temporal and spatial correlations is introduced. When the environment has a finite correlation length, individual particle trajectories are found to diffuse at large…

Chaotic Dynamics · Physics 2012-03-28 Giorgio Krstulovic , Rehab Bitane , Jeremie Bec

This paper evaluates the effect of online disinformation upon offline political protests with a time series cross-sectional sample of 125 countries in a period between 2000 and 2019. The results are mixed. Based on Bayesian multi-level…

Computers and Society · Computer Science 2025-11-10 Jukka Ruohonen

We consider an urn model with multiple drawing and random time-dependent addition matrix. The model is very general with respect to previous literature: the number of sampled balls at each time-step is random, the addition matrix has…

Probability · Mathematics 2021-07-06 Irene Crimaldi , Pierre-Yves Louis , Ida Germana Minelli
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