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Antal et al. [Phys. Rev. E \textbf{72}, 036121 (2005)] have studied the balance dynamics on the social networks. In this paper, based on the model proposed by Antal et al., we improve it and generalize the binary social networks to the…

Physics and Society · Physics 2010-01-05 Qing-Kuan Meng , Wei Liu , Jian-Yang Zhu

As a social media, online social networks play a vital role in the social information diffusion. However, due to its unique complexity, the mechanism of the diffusion in online social networks is different from the ones in other types of…

Social and Information Networks · Computer Science 2015-05-18 Jichang Zhao , Junjie Wu , Ke Xu

Social balance theory describes allowable and forbidden configurations of the topologies of signed directed social appraisal networks. In this paper, we propose two discrete-time dynamical systems that explain how an appraisal network…

Social and Information Networks · Computer Science 2019-09-16 Wenjun Mei , Pedro Cisneros-Velarde , Ge Chen , Noah E. Friedkin , Francesco Bullo

Social, biological and economic networks grow and decline with occasional fragmentation and re-formation, often explained in terms of external perturbations. We show that these phenomena can be a direct consequence of simple imitation and…

Populations and Evolution · Quantitative Biology 2011-09-28 Matteo Cavaliere , Sean Sedwards , Corina E. Tarnita , Martin A. Nowak , Attila Csikász-Nagy

Social norms are stable behavioral patterns that emerge endogenously within economic systems through repeated interactions among agents. In online market economies, such norms -- like fair exposure, sustained participation, and balanced…

Machine Learning · Computer Science 2026-03-06 Xiangning Yu , Qirui Mi , Xiao Xue , Haoxuan Li , Yiwei Shi , Xiaowei Liu , Mengyue Yang

We consider a dynamic social network model in which agents play repeated games in pairings determined by a stochastically evolving social network. Individual agents begin to interact at random, with the interactions modeled as games. The…

Probability · Mathematics 2007-05-23 Brian Skyrms , Robin Pemantle

Despite recent advances in reputation technologies, it is not clear how reputation systems can affect human cooperation in social networks. Although it is known that two of the major mechanisms in the evolution of cooperation are spatial…

Physics and Society · Physics 2017-01-24 Tatsuya Sasaki , Hitoshi Yamamoto , Isamu Okada , Satoshi Uchida

This work studies the impact of economic inequality on the evolution of intolerance through a reputation-based model of indirect reciprocity. Results show that economic inequality is a powerful enhancer of intolerance, inducing the…

Physics and Society · Physics 2024-01-17 Luis A. Martinez-Vaquero

Stereotypes are generalized beliefs about groups of people, which are used to make decisions and judgments about them. Although such heuristics can be useful when decisions must be made quickly, or when information is lacking, they can also…

Physics and Society · Physics 2022-05-26 Alexander J. Stewart , Nichola Raihani

We study opinion dynamics on networks with a nontrivial community structure, assuming individuals can update their binary opinion as the result of the interactions with an external influence with strength $h\in [0,1]$ and with other…

Probability · Mathematics 2023-06-14 Simone Baldassarri , Anna Gallo , Vanessa Jacquier , Alessandro Zocca

Interactions in natural communities can be highly heterogeneous, with any given species interacting appreciably with only some of the others, a situation commonly represented by sparse interaction networks. We study the consequences of…

Populations and Evolution · Quantitative Biology 2022-10-12 Stav Marcus , Ari M. Turner , Guy Bunin

A simple model is proposed to simulate the evolution of interpersonal relationships in a class. The small social network is simply assumed as an undirected and weighted graph, in which students are represented by vertices, and the extent of…

Other Condensed Matter · Physics 2007-05-23 Bo Hu , Xin-Yu Jiang , Jun-Feng Ding , Yan-Bo Xie , Bing-Hong Wang

The empirical study of network dynamics has been limited by the lack of longitudinal data. Here we introduce a quantitative indicator of link persistence to explore the correlations between the structure of a mobile phone network and the…

Physics and Society · Physics 2009-11-13 Cesar A. Hidalgo , C. Rodriguez-Sickert

We investigate signed networks with community structure with respect to their spectrum and their evolution under a dynamical model of structural balance, a prominent theory of signed social networks. The spectrum of the adjacency matrix…

Social and Information Networks · Computer Science 2020-07-15 Megan Morrison , Michael Gabbay

Social power quantifies the ability of individuals to influence others and plays a central role in social influence networks. Yet, computing social power typically requires global knowledge and significant computational or storage…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Ye Tian , Angela Fontan , Yu Kawano , Wei Zhang , Kenji Kashima , Karl H. Johansson

We present measures, models and link prediction algorithms based on the structural balance in signed social networks. Certain social networks contain, in addition to the usual 'friend' links, 'enemy' links. These networks are called signed…

Social and Information Networks · Computer Science 2014-02-28 Jérôme Kunegis

Users of social networks display diversified behavior and online habits. For instance, a user's tendency to reply to a post can depend on the user and the person posting. For convenience, we group users into aggregated behavioral patterns,…

Social and Information Networks · Computer Science 2022-08-02 Tiandong Wang , Sidney Resnick

Indirect reciprocity based on reputation is a leading mechanism driving human cooperation, where monitoring of behaviour and sharing reputation-related information are crucial. Because collecting information is costly, a tragedy of the…

Physics and Society · Physics 2016-10-07 Mitsuhiro Nakamura , Ulf Dieckmann

Generally, networks are classified into two sides of inequality and equality with respect to the number of links at nodes by the types of degree distributions. One side includes many social, technological, and biological networks which…

Physics and Society · Physics 2025-10-01 Yukio Hayashi , Taishi Ogawa

We propose an opinion model based on agents located at the vertices of a regular lattice. Each agent has an independent opinion (among an arbitrary, but fixed, number of choices) and its own degree of conviction. The latter changes every…

Physics and Society · Physics 2012-05-29 S. R. Souza , S. Goncalves