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In this article we consider the possibility of controlling the dynamics of nonlinear discrete systems. A new method of control is by mixing states of the system (or the functions of these states) calculated on previous steps. This approach…

Chaotic Dynamics · Physics 2016-08-23 D. Dmitrishin , I. M. Skrinnik , A. Stokolos

Forecasting elections -- a challenging, high-stakes problem -- is the subject of much uncertainty, subjectivity, and media scrutiny. To shed light on this process, we develop a method for forecasting elections from the perspective of…

Physics and Society · Physics 2020-09-21 Alexandria Volkening , Daniel F. Linder , Mason A. Porter , Grzegorz A. Rempala

How to elect the representatives in legislative bodies is a question that every modern democracy has to answer. This design task has to consider various elements so as to fulfill the citizens' expectations and contribute to the maintenance…

Computer Science and Game Theory · Computer Science 2024-10-07 Javier Cembrano , José Correa , Gonzalo Díaz , Victor Verdugo

We introduce a simple, geometric model of opinion polarization. It is a model of political persuasion, as well as marketing and advertising, utilizing social values. It focuses on the interplay between different topics and persuasion…

Social and Information Networks · Computer Science 2021-08-26 Jan Hązła , Yan Jin , Elchanan Mossel , Govind Ramnarayan

Societies experience politically stable and unstable phases along history, whereas political power is usually passed to new elite groups by these changes. Structural dynamics of the elites in a society have been proposed to be one of the…

Physics and Society · Physics 2025-11-24 Alexander Jochim , Stefan Bornholdt

Widespread deployment of societal-scale machine learning systems necessitates a thorough understanding of the resulting long-term effects these systems have on their environment, including loss of trustworthiness, bias amplification, and…

Machine Learning · Computer Science 2024-05-07 Andrey Veprikov , Alexander Afanasiev , Anton Khritankov

Every representative democracy must specify a mechanism under which voters choose their representatives. The most common mechanism in the United States -- Winner takes all single-member districts -- both enables substantial partisan…

Computer Science and Game Theory · Computer Science 2026-02-23 Nikhil Garg , Wes Gurnee , David Rothschild , David Shmoys

In an era of increasing societal fragmentation, political polarization, and erosion of public trust in institutions, representative deliberative assemblies are emerging as a promising democratic forum for developing effective policy…

Computers and Society · Computer Science 2025-09-18 Elinor Poole-Dayan , Deb Roy , Jad Kabbara

The flow of information reaching us via the online media platforms is optimized not by the information content or relevance but by popularity and proximity to the target. This is typically performed in order to maximise platform usage. As a…

Physics and Society · Physics 2019-06-19 Alina Sîrbu , Dino Pedreschi , Fosca Giannotti , János Kertész

We analyze the evolution of political organizations using a model in which agents change their opinions via two competing mechanisms. Two agents may interact and reach consensus, and additionally, individual agents may spontaneously change…

Statistical Mechanics · Physics 2007-05-23 E. Ben-Naim

Traditional methods in educational research often fail to capture the complex and evolving nature of learning processes. This chapter examines the use of complex systems theory in education to address these limitations. The chapter covers…

Computers and Society · Computer Science 2025-02-03 Mohammed Saqr , Daryn Dever , Sonsoles López-Pernas , Christophe Gernigon , Gwen Marchand , Avi Kaplan

There are many natural, physical, and biological systems that exhibit multiple time scales. For example, the dynamics of a population of ticks can be described in continuous time during their individual life cycle yet discrete time is used…

Dynamical Systems · Mathematics 2009-07-10 Raquel M. Lopez , Sergei K. Suslov , Erika T. Camacho

In this paper, we introduce the Iterative Persuasion-Polarization (IPP) model to study the dynamics of opinion formation and change within a population. The IPP model integrates mechanisms of persuasion and repulsion, where individuals…

Physics and Society · Physics 2024-08-02 Fei Cao , Stephanie Reed

Climate policy and legislation has a significant influence on both domestic and global responses to the pressing environmental challenges of our time. The effectiveness of such climate legislation is closely tied to the complex dynamics…

Physics and Society · Physics 2025-05-16 Andrew Jacoby , Samiran Ghosh , Malay Banerjee , Aditi Ghosh , Padmanabhan Seshaiyer

As artificial intelligence systems become increasingly powerful and pervasive, democratic societies face unprecedented challenges in governing these technologies while preserving core democratic values and institutions. This paper presents…

Computers and Society · Computer Science 2025-11-18 Subramanyam Sahoo , Aditi Chhawacharia

AI-driven decision-making systems are becoming instrumental in the public sector, with applications spanning areas like criminal justice, social welfare, financial fraud detection, and public health. While these systems offer great…

Machine Learning · Computer Science 2024-10-15 Unai Fischer-Abaigar , Christoph Kern , Noam Barda , Frauke Kreuter

We present a new solution for fundamental problems in nonlinear dynamical systems: finding, verifying, and stabilizing cycles. The solution we propose consists of a new control method based on mixing previous states of the system (or the…

Dynamical Systems · Mathematics 2017-12-19 D. Dmitrishin , I. E. Iacob , I. Skrinnik , A. Stokolos

A model of the opinion dynamics underlying the political decision is proposed. The analysis is restricted to a bipolar scheme with a possible third political area. The interaction among voters is local but the final decision strongly…

Physics and Society · Physics 2007-05-23 Filippo Caruso , Paolo Castorina

This work extends a model of simulating influence in a network of stochastic edge dynamics to account for polarization. The model built upon is termed Dynamic Communicators and seeks to understand the process which produces low volume, high…

Social and Information Networks · Computer Science 2018-05-29 Cameron E. Taylor , Ivan Garibay , Alexander V. Mantzaris

When two selection environments operate upon each other, mutual shaping in a co-evolution along a particular trajectory is one possible outcome. When three selection environments are involved, more complex dynamics can be expected as a…

Physics and Society · Physics 2009-11-19 Loet Leydesdorff , Martin Meyer