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The exact solution of the two-dimensional (2D) Ising model at an external magnetic field is derived by a modified Clifford algebraic approach. At first, the transfer matrices are analyzed in three representations, i.e., Clifford algebraic…

General Physics · Physics 2026-03-12 Zhidong Zhang

We proposed a model of interacting market agents based on the Ising spin model. The agents can take three actions: "buy," "sell," or "stay inactive." We defined a price evolution in terms of the system magnetization. The model reproduces…

Statistical Finance · Quantitative Finance 2008-12-02 Paweł Sieczka , Janusz A. Hołyst

Complex behaviors are often driven by an internal model, which integrates sensory information over time and facilitates long-term planning. Inferring an agent's internal model is a crucial ingredient in social interactions (theory of mind),…

Machine Learning · Computer Science 2019-06-13 Zhengwei Wu , Paul Schrater , Xaq Pitkow

The ability to model the mental states of others is crucial to human social intelligence, and can offer similar benefits to artificial agents with respect to the social dynamics induced in multi-agent settings. We present a method of…

Machine Learning · Computer Science 2023-07-20 Ini Oguntola , Joseph Campbell , Simon Stepputtis , Katia Sycara

In the study of social networks, a fundamental problem is that of influence maximization (IM): How can we maximize the collective opinion of individuals in a network given constrained marketing resources? Traditionally, the IM problem has…

Disordered Systems and Neural Networks · Physics 2016-09-30 Christopher Lynn , Daniel D. Lee

Intrinsic motivations are receiving increasing attention, i.e. behavioral incentives that are not engineered, but emerge from the interaction of an agent with its surroundings. In this work we study the emergence of behaviors driven by one…

Artificial Intelligence · Computer Science 2026-04-24 Tristan Shah , Ilya Nemenman , Daniel Polani , Stas Tiomkin

We propose Monte Carlo methods to estimate the partition function of the two-dimensional Ising model in the presence of an external magnetic field. The estimation is done in the dual of the Forney factor graph representing the model. The…

Computational Physics · Physics 2016-11-17 Mehdi Molkaraie

Within the context of agent-based Monte-Carlo simulations, we study the well-known majority-vote model (MVM) with noise applied to tax evasion on Stauffer-Hohnisch-Pittnauer (SHP) networks. To control the fluctuations for tax evasion in the…

Physics and Society · Physics 2015-06-04 F. W. S. Lima

Imitation can be viewed as a means of enhancing learning in multiagent environments. It augments an agent's ability to learn useful behaviors by making intelligent use of the knowledge implicit in behaviors demonstrated by cooperative…

Machine Learning · Computer Science 2011-06-06 C. Boutilier , B. Price

This agent-based model contributes to a theory of corporate culture in which company performance and employees' behaviour result from the interaction between financial incentives, motivational factors and endogenous social norms. Employees'…

Theoretical Economics · Economics 2022-01-31 Michael Roos , Jessica Reale , Frederik Banning

Designing tax policies that are effective in curbing tax evasion and maximize state revenues requires a rigorous understanding of taxpayer behavior. This work explores the problem of determining the strategy a self-interested, risk-averse…

Artificial Intelligence · Computer Science 2018-01-30 Nikolaos D. Goumagias , Dimitrios Hristu-Varsakelis , Yannis M. Assael

The entropic sampling dynamics based on the reversible information transfer to and from the environment is applied to the globally coupled Ising model in the presence of an oscillating magnetic field. When the driving frequency is low…

Statistical Mechanics · Physics 2007-05-23 Beom Jun Kim , M. Y. Choi

In the present paper, a study of the magnetic properties of a spin-1/2 Ising-Heisenberg Cairo pentagonal structure is presented. The model has been investigated in Ref. [34] in the absence of external magnetic field. Here, we consider the…

Statistical Mechanics · Physics 2020-11-19 Hamid Arian Zad , Andrea Trombettoni , Nerses Ananikian

We investigate the impact of an exogenous environment on the emergence of social herding of economic sentiment. An interactions-driven dynamics of economic sentiment is modeled by an Ising model on a large (two-dimensional) square lattice.…

Physics and Society · Physics 2008-02-13 Martin Hohnisch , Dietrich Stauffer , Sabine Pittnauer

From marketing to politics, exploitation of incomplete information through selective communication of arguments is ubiquitous. In this work, we focus on development of an argumentation-theoretic model for manipulable multi-agent…

Artificial Intelligence · Computer Science 2019-09-17 Ryuta Arisaka , Makoto Hagiwara , Takayuki Ito

The well-known Ising model used in statistical physics was adapted to a social dynamics context to simulate the adoption of a technological innovation. The model explicitly combines (a) an individual's perception of the advantages of an…

Physics and Society · Physics 2015-05-20 Carlos E. Laciana , Santiago L. Rovere

Human interactions are influenced by emotions, temperament, and affection, often conflicting with individuals' underlying preferences. Without explicit knowledge of those preferences, judging whether behaviour is appropriate becomes…

Computer Science and Game Theory · Computer Science 2025-11-05 Victor Villin , Christos Dimitrakakis

Recently, model-based agents have achieved better performance than model-free ones using the same computational budget and training time in single-agent environments. However, due to the complexity of multi-agent systems, it is tough to…

Multiagent Systems · Computer Science 2022-12-08 Zhiwei Xu , Dapeng Li , Bin Zhang , Yuan Zhan , Yunpeng Bai , Guoliang Fan

We present our approach to the problem of how an agent, within an economic Multi-Agent System, can determine when it should behave strategically (i.e. learn and use models of other agents), and when it should act as a simple price-taker. We…

Multiagent Systems · Computer Science 2007-05-23 Jose M. Vidal , Edmund H. Durfee

We are looking for the agent-based treatment of the financial markets considering necessity to build bridges between microscopic, agent based, and macroscopic, phenomenological modeling. The acknowledgment that agent-based modeling…

Statistical Finance · Quantitative Finance 2019-01-01 V. Gontis , A. Kononovicius