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Competitive balance model has been proposed as an extension to the balance model to address the conflict of interests in signed networks arXiv:2001.04664 . In this model two different paradigms compete with each other due to the competitive…

物理与社会 · 物理学 2021-10-26 R. Masoumi , F. Oloomi , A. Kargaran , A. Hosseiny , G. R. Jafari

The dynamics of networks on Heider balance theory moves toward reducing the tension by constantly reevaluating the interactions to achieve a state of balance. Conflict of interest, however, is inherent in most complex systems; frequently,…

物理与社会 · 物理学 2021-02-23 Farideh Oloomi , Razieh Masoumi , Kosar Karimipour , Ali Hosseiny , G. Reza Jafari

Competition between alternative states is an essential process in social and biological networks. Neutral competition can be represented by an unbiased random drift process in which the states of vertices (e.g., opinions, genotypes, or…

物理与社会 · 物理学 2021-08-18 Kota Ishida , Beata Oborny , Michael T. Gastner

We discuss the Heider model in the presence of an external social field. This field was introduced to break the symmetry between the probabilities of hostile and friendly relationships. We consider the system in the presence of fluctuations…

统计力学 · 物理学 2025-12-05 Zdzisław Burda , Maciej Wołoszyn , Krzysztof Malarz , Krzysztof Kułakowski

We explore the effects of social influence in a simple market model in which a large number of agents face a binary choice: 'to buy/not to buy' a single unit of a product at a price posted by a single seller (the monopoly case). We consider…

无序系统与神经网络 · 物理学 2008-12-02 Jean-Pierre Nadal , Denis Phan , Mirta B. Gordon , Jean Vannimenus

Societies are quintessential open systems, shaped by internal dynamics as well as external influences. The question is how these external influences alter the collective behavior and network dynamics. To answer this, we investigate…

物理与社会 · 物理学 2026-05-11 S. Arab Mohammadi , H. Jafari , A. Kargaran , A. Hosseiny , G. Reza Jafari

We study binary state contagion dynamics on a social network where nodes act in response to the average state of their neighborhood. We model the competing tendencies of imitation and non-conformity by incorporating an off-threshold into…

物理与社会 · 物理学 2015-03-13 Kameron Decker Harris

This article introduces a novel mean-field game model for multi-sector economic growth in which a dynamically evolving externality, influenced by the collective actions of agents, plays a central role. Building on classical growth theories…

最优化与控制 · 数学 2026-05-05 Pierre Lavigne , Quentin Petit , Xavier Warin

Heider balance theory provides a fundamental framework for understanding the formation of friendly and hostile relations in social networks. Existing stochastic formulations typically assume a uniform social temperature, implying that all…

物理与社会 · 物理学 2026-05-19 Zhen Li , Yuki Izumida

The Hamiltonian Mean Field (HMF) model of coupled inertial, Hamiltonian rotors is a prototype for conservative dynamics in systems with long-range interactions. We consider the case where the interactions between the rotors are governed by…

统计力学 · 物理学 2016-02-09 Yogesh S. Virkar , Juan G. Restrepo , James D. Meiss

Competitive interactions represent one of the driving forces behind evolution and natural selection in biological and sociological systems. For example, animals in an ecosystem may vie for food or mates; in a market economy, firms may…

物理与社会 · 物理学 2013-07-03 Jacobo Aguirre , David Papo , Javier M. Buldú

Heider's Balance Theory in signed networks, which consists of friendship or enmity relationships, is a model that relates the type of relationship between two people to the third person. In this model, there is an assumption of the…

物理与社会 · 物理学 2022-05-18 M. H. Hakimi Siboni , A. Kargaran , G. R. Jafari

We study the effect of an applied magnetic field on the nonequilibrium transport properties of a general cubic quantum network described by a tight-binding Hamiltonian with specially designed couplings to the leads that preserve open-system…

统计力学 · 物理学 2020-09-03 Juzar Thingna , Daniel Manzano , Jianshu Cao

In social networks, the balance theory has been studied by considering either the triple interactions between the links (structural balance) or the triple interaction of nodes and links (coevolutionary balance). In the structural balance…

统计力学 · 物理学 2022-10-31 M. Ghanbarzadeh Noudehi , A. Kargaran , N. Azimi-Tafreshi , G. R. Jafari

Balance theory proposed by Heider for the first time modeled triplet interaction in a signed network, stating that relationships between two people, friendship or enmity, is dependent on a third person. The Hamiltonian of this model has an…

物理与社会 · 物理学 2020-10-22 A. Kargaran , M. Ebrahimi , M. Riazi , A. Hosseiny , G. R. Jafari

It is known that the competitive exclusion principle holds for a large kind of models involving several species competing for a single resource in an homogeneous environment. Various works indicate that the coexistence is possible in an…

偏微分方程分析 · 数学 2014-07-22 François Castella , Sten Madec , Yvan Lagadeuc

We investigate, through a kinetic-exchange model, the impact that an external field, like advertising and propaganda, has on opinion dynamics. We address the situations where two opposite alternatives can be selected but the possibility of…

统计力学 · 物理学 2020-04-22 Francisco Freitas , Allan R. Vieira , Celia Anteneodo

We introduce and solve a general model of dynamic response under external perturbations. This model captures a wide range of systems out of equilibrium including Ising models of physical systems, social opinions, and population genetics.…

可精确求解与可积系统 · 物理学 2007-11-19 David D. Chinellato , Marcus A. M. de Aguiar , Irving R. Epstein , Dan Braha , Yaneer Bar-Yam

Exploiting others is beneficial individually but it could also be detrimental globally. The reverse is also true: a higher cooperation level may change the environment in a way that is beneficial for all competitors. To explore the possible…

物理与社会 · 物理学 2018-02-23 Attila Szolnoki , Xiaojie Chen

The principle that 'the brand effect is attractive' underlies preferential attachment. Here we show that the brand effect is just one dimension of attractiveness. Another dimension is competitiveness. We firstly develop a general framework…

物理与社会 · 物理学 2014-05-20 Jin-Li Guo
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