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We consider a measure given as the continuum limit of a one-dimensional Ising model with long-range translationally invariant interactions. Mathematically, the measure can be described by a self-interacting Poisson driven jump process. We…

Mathematical Physics · Physics 2022-01-20 David Hasler , Benjamin Hinrichs , Oliver Siebert

This paper presents a conceptual refinement of agent cognitive architecture inspired from the beliefs-desires-intentions (BDI) and the theory of planned behaviour (TPB) models, with an emphasis on different belief facets. This enables us to…

In social networks, bursts of activity often result from the imitative behavior between interacting agents. The Ising model, along with its variants in the social sciences, serves as a foundational framework to explain these phenomena…

Adaptation and Self-Organizing Systems · Physics 2023-08-29 Sornette Didier , Sandro Lera , Jianhong Lin , Ke Wu

Using Random Matrix Theory, we propose a universal and versatile tool to reveal the existence of "fleeting modes", i.e. portfolios that carry statistically significant excess risk, signalling ex-post a change in the correlation structure in…

Portfolio Management · Quantitative Finance 2022-05-03 Jean-Philippe Bouchaud , Iacopo Mastromatteo , Marc Potters , Konstantin Tikhonov

Mutual Information between agent Actions and environment States (MIAS) quantifies the influence of agent on its environment. Recently, it was found that the maximization of MIAS can be used as an intrinsic motivation for artificial agents.…

Machine Learning · Computer Science 2020-08-04 Ruihan Zhao , Stas Tiomkin , Pieter Abbeel

Social network based information campaigns can be used for promoting beneficial health behaviours and mitigating polarisation (e.g. regarding climate change or vaccines). Network-based intervention strategies typically rely on full…

Physics and Society · Physics 2021-07-29 Matthew Garrod , Nick S. Jones

Thermodynamic and magnetic properties of Ising models defined on the triangular Apollonian network are investigated. This and other similar networks are inspired by the problem of covering an Euclidian domain with circles of maximal radii.…

Statistical Mechanics · Physics 2009-11-10 Roberto F. S. Andrade , Hans J. Herrmann

We study an opinion formation model that takes into account that individuals have diverse preferences when forming their opinion regarding a particular issue. We show that the system exhibits a phenomenon called "diversity-induced…

Physics and Society · Physics 2015-05-13 Claudio J. Tessone , Raul Toral

Biological systems often choose actions without an explicit reward signal, a phenomenon known as intrinsic motivation. The computational principles underlying this behavior remain poorly understood. In this study, we investigate an…

Artificial Intelligence · Computer Science 2023-01-05 Stas Tiomkin , Ilya Nemenman , Daniel Polani , Naftali Tishby

This paper describes an agent-based model of interacting firms, in which interacting firm agents rationally invest capital and labor in order to maximize payoff. Both transactions and production are taken into account in this model. First,…

Physics and Society · Physics 2009-11-13 Yuichi Ikeda , Hideaki Aoyama , Hiroshi Iyetomi , Yoshi Fujiwara , Wataru Souma , Taisei Kaizoji

We develop a method to improve on the statistical errors for higher moments using machine learning techniques. We present here results for the dual representation of the Ising model with an external field, derived via the high temperature…

High Energy Physics - Lattice · Physics 2022-12-06 Jangho Kim , Wolfgang Unger

This paper proposes a model of tax compliance and fiscal capacity grounded in universalization reasoning. Citizens partially internalize the consequences of concealment by imagining a world in which everyone acted similarly, linking their…

General Economics · Economics 2026-04-23 Esteban Muñoz-Sobrado

We propose a belief-formation model where agents attempt to discriminate between two theories, and where the asymmetry in strength between confirming and disconfirming evidence tilts beliefs in favor of theories that generate strong (and…

General Economics · Economics 2023-10-13 Olivier Compte

We study dynamics of the one-dimensional Ising model in the presence of static symmetry-breaking boundary field via the two-time autocorrelation function of the boundary spin. We find that the correlations decay as a power law. We uncover a…

Statistical Mechanics · Physics 2024-01-02 Umar Javed , Jamir Marino , Vadim Oganesyan , Michael Kolodrubetz

Imitation is widely observed in populations of decision-making agents. Using our recent convergence results for asynchronous imitation dynamics on networks, we consider how such networks can be efficiently driven to a desired equilibrium…

Computer Science and Game Theory · Computer Science 2017-04-17 James Riehl , Pouria Ramazi , Ming Cao

The zero-temperature random-field Ising model is solved analytically for magnetisation vs external field for a bi-layered Bethe lattice. The mechanisms of infinite avalanches which are observed for small values of disorder are established.…

Statistical Mechanics · Physics 2013-08-21 Thomas P Handford , Francisco J Pérez-Reche , Sergei N Taraskin

The three-state agent-based 2D model of financial markets as proposed by Giulia Iori has been extended by introducing increasing trust in the correctly predicting agents, a more realistic consultation procedure as well as a formal…

Trading and Market Microstructure · Quantitative Finance 2013-12-17 Jan A. Lipski , Ryszard Kutner

There have been two separate lines of work on estimating Ising models: (1) estimating them from multiple independent samples under minimal assumptions about the model's interaction matrix; and (2) estimating them from one sample in…

Statistics Theory · Mathematics 2020-12-11 Yuval Dagan , Constantinos Daskalakis , Nishanth Dikkala , Anthimos Vardis Kandiros

We introduce an Ising approach to study the spread of malware. The Ising spins up and down are used to represent two states--online and offline--of the nodes in the network. Malware is allowed to propagate amongst online nodes and the rate…

Computational Physics · Physics 2010-07-29 K. E. S. Antonio , C. M. N. Pinol , R. S. Banzon

We study the stability of a discrete-time dynamical mean-field Ising model to perturbations. This model belongs to a broader class of models often used in the study of opinion dynamics in financial markets. In the presence of noise, these…

Chaotic Dynamics · Physics 2025-01-23 Senbagaraman Sudarsanam
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