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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

The transient behavior of an ecosystem with N random interacting species in the presence of a multiplicative noise is analyzed. The multiplicative noise mimics the interaction with the environment. We investigate different asymptotic…

Statistical Mechanics · Physics 2009-11-10 B. Spagnolo , D. Valenti , A. Fiasconaro

Transport equations for autonomous driven Fermionic quantum systems are derived with the help of statistical assumptions and of the Markov approximation. The statistical assumptions hold if the system consists of subsystems within which…

Nuclear Theory · Physics 2022-04-20 Hans A. Weidenmüller

We present the result of a dual modeling of opinion network. The model complements the agent-based opinion models by attaching to the social agent (voters) network a political opinion (party) network having its own intrinsic mechanisms of…

Physics and Society · Physics 2015-06-04 Ru Wang , Qiuping Alexandre Wang

Brownian motion have long been studied on a diversity of fields, not only in physics of statistical mechanics, but also in biological models, finance and economic process, and social systems. In the past twenty years, there has been a…

Physics and Society · Physics 2025-12-05 Peng Wang , Peter Luh

This paper studies an integrated system of political and economic systems from a systematic perspective to explore the complex interaction between them, and specially analyzes the case of the US presidential election forecasting. Based on…

Physics and Society · Physics 2020-04-30 Lingbo Li , Ying Fan , An Zeng , Zengru Di

We investigate the effect of bias on the formation and dynamics of political parties in the bounded confidence model. For weak bias, we quantify the change in average opinion and potential dispersion and decrease in party size. For…

Dynamical Systems · Mathematics 2023-02-09 Olivia Cannon , Ty Bondurant , Malindi Whyte , Arnd Scheel

This paper studies the performative policy learning problem, where agents adjust their features in response to a released policy to improve their potential outcomes, inducing an endogenous distribution shift. There has been growing interest…

Machine Learning · Computer Science 2025-02-25 Qianyi Chen , Ying Chen , Bo Li

We develop a simple theoretic game a model to analyze the relationship between electoral sys tems and governments' choice in trade policies. We show that existence of international pressure or foreign lobby changes a government's final…

General Economics · Economics 2020-03-13 Serkan Kucuksenel , Osman Gulseven

In this work, we derive exact solutions of a dynamical equation, which can represent all two-level Hermitian systems driven by periodic $N$-step driving fields. For different physical parameters, this dynamical equation displays various…

Quantum Physics · Physics 2021-11-03 Zhi-Cheng Shi , Ye-Hong Chen , Wei Qin , Yan Xia , X. X. Yi , Shi-Biao Zheng , Franco Nori

The challenge of understanding the collective behaviors of social systems can benefit from methods and concepts from physics [1-6], not because humans are similar to electrons, but because certain large-scale behaviors can be understood…

Physics and Society · Physics 2020-08-20 Alexander Siegenfeld , Yaneer Bar-Yam

The Hamiltonian of an isolated quantum mechanical system determines its dynamics and physical behaviour. This study investigates the possibility of learning and utilising a system's Hamiltonian and its variational thermal state estimation…

Quantum Physics · Physics 2023-12-22 Jack Y. Araz , Michael Spannowsky

We consider a system in which a group of agents represented by the vertices of a graph synchronously update their opinion based on that of their neighbours. If each agent adopts a positive opinion if and only if that opinion is sufficiently…

Combinatorics · Mathematics 2020-08-12 John Haslegrave , Chris Cannings

In a first part the scope of classical thermodynamics and statistical mechanics is discussed in the broader context of formal dynamical systems, including computer programmes. In this context classical thermodynamics appears as a particular…

Statistical Mechanics · Physics 2009-11-11 Daniel Pfenniger

The Hamiltonian dynamics of chains of nonlinearly coupled particles is numerically investigated in two and three dimensions. Simple, off-lattice homopolymer models are used to represent the interparticle potentials. Time averages of…

Statistical Mechanics · Physics 2007-05-23 Alessandro Mossa , Marco Pettini , Cecilia Clementi

We study the classical mechanics and dynamics of particles that retains some memory of quantum statistics. Our work builds on earlier work on the statistical mechanics and thermodynamics of such particles. Starting from the effective…

Quantum Physics · Physics 2025-11-21 Varsha Subramanyan , T. H. Hansson , Smitha Vishveshwara

We show how to use operators in the description of {\em exchanging processes} often taking place in (complex) classical systems. In particular, we propose a set of rules giving rise to an {\em hamiltonian} operator for such a system $\Sc$,…

Physics and Society · Physics 2015-06-05 Fabio Bagarello

We present an agent behavior based microscopic model that induces jumps, spikes and high volatility phases in the price process of a traded asset. We transfer dynamics of thermally activated jumps of an unexcited/ excited two state system…

Trading and Market Microstructure · Quantitative Finance 2017-02-01 Christof Henkel

The Thermodynamic Formalism provides a rigorous mathematical framework to study quantitative and qualitative aspects of dynamical systems. At its core there is a variational principle corresponding, in its simplest form, to the Maximum…

Neurons and Cognition · Quantitative Biology 2020-12-30 Rodrigo Cofré , Cesar Maldonado , Bruno Cessac

In this paper we study the dynamics of stochastic microorganism flocculation models. Given the strong influence of environmental and seasonal fluctuations that are present in these models, we propose a stochastic model that includes…

Probability · Mathematics 2025-11-18 Alexandru Hening , Nguyen T. Hieu , Dang H. Nguyen , Nhu Nguyen
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