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This paper develops strategic foundations for an important statistical model of random networks with heterogeneous expected degrees. Based on this, we show how social networking services that subtly alter the costs and indirect benefits of…

Applications · Statistics 2010-04-09 Benjamin Golub , Yair Livne

Neutral theories have played a crucial and revolutionary role in fields such as population genetics and biogeography. These theories are critical by definition, in the sense that the overall growth rate of each single allele/species/type…

Statistical Mechanics · Physics 2015-06-23 Claudio Borile , Daniel Molina-Garcia , Amos Maritan , Miguel A. Muñoz

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

Neutral models, in which individual agents with equal fitness undergo a birth-death-mutation process, are very popular in population genetics and community ecology. Usually these models are applied to populations and communities with…

Populations and Evolution · Quantitative Biology 2016-06-10 Matan Danino , Yahav Shem-Tov , Nadav M. Shnerb

Social networks are increasingly being used to conduct polls. We introduce a simple model of such social polling. We suppose agents vote sequentially, but the order in which agents choose to vote is not necessarily fixed. We also suppose…

Computer Science and Game Theory · Computer Science 2013-02-08 Serge Gaspers , Victor Naroditskiy , Nina Narodytska , Toby Walsh

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…

Physics and Society · Physics 2026-05-11 S. Arab Mohammadi , H. Jafari , A. Kargaran , A. Hosseiny , G. Reza Jafari

We present a model in which we investigate the structure and evolution of a random network that connects agents capable of exchanging wealth. Economic interactions between neighbors can occur only if the difference between their wealth is…

Physics and Society · Physics 2015-06-19 A. Agreda , K. Tucci

We propose a simple model of influence in a network, based on edge density. In the model vertices (people) follow the opinion of the group they belong to. The opinion percolates down from an active vertex, the influencer, at the head of the…

Discrete Mathematics · Computer Science 2023-05-15 Colin Cooper , Nan Kang , Tomasz Radzik

The ability of groups to make accurate collective decisions depends on a complex interplay of various factors, such as prior information, biases, social influence, and the structure of the interaction network. Here, we investigate a spin…

Physics and Society · Physics 2025-03-20 Yunus Sevinchan , Petro Sarkanych , Abi Tenenbaum , Yurij Holovatch , Pawel Romanczuk

The vast majority of strategies aimed at controlling contagion processes on networks considers the connectivity pattern of the system as either quenched or annealed. However, in the real world many networks are highly dynamical and evolve…

Physics and Society · Physics 2015-06-17 Suyu Liu , Nicola Perra , Marton Karsai , Alessandro Vespignani

Opinion dynamics on social networks have been received considerable attentions in recent years. Nevertheless, just a few works have theoretically analyzed the condition in which a certain opinion can spread in the whole structured…

Computer Science and Game Theory · Computer Science 2022-08-31 Zhifang Li , Xiaojie Chen , Han-Xin Yang , Attila Szolnoki

Motivated by the literature on opinion dynamics and evolutionary game theory, we propose a novel mathematical framework to model the intertwined coevolution of opinions and decision-making in a complex social system. In the proposed…

Social and Information Networks · Computer Science 2021-03-02 Lorenzo Zino , Mengbin Ye , Ming Cao

Binary decision-making process is ubiquitous in social life and is of vital significance in many real-world issues, ranging from public health to political campaigns. While continuous opinion evolution independent of discrete choice…

Physics and Society · Physics 2021-05-26 Xuyang Chen , Xin Wang , Longzhao Liu , Shaoting Tang , Zhiming Zheng

We study the spread of a novel state in a network, in the presence of an exogenous control. The considered controlled evolutionary dynamics is a non-homogeneous Markov process that describes the evolution of the states of all nodes in the…

Systems and Control · Electrical Eng. & Systems 2020-06-23 Lorenzo Zino , Giacomo Como , Fabio Fagnani

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…

Statistical Mechanics · Physics 2022-10-31 M. Ghanbarzadeh Noudehi , A. Kargaran , N. Azimi-Tafreshi , G. R. Jafari

In nonlinear voter models the transitions between two states depend in a nonlinear manner on the frequencies of these states in the neighborhood. We investigate the role of these nonlinearities on the global outcome of the dynamics for a…

Statistical Mechanics · Physics 2009-04-05 Frank Schweitzer , Laxmidhar Behera

Cooperation and competition coexist and coevolve in natural and social systems. Cooperation generates resources, which in turn, drive non-cooperative competition to secure individual shares. How this complex interplay between cooperation…

Physics and Society · Physics 2025-09-03 Wenqiang Zhu , Xin Wang , Chaoqian Wang , Weijie Xing , Longzhao Liu , Hongwei Zheng , Jingwu Zhao , Shaoting Tang

We study collective decision-making in a model of human groups, with network interactions, performing two alternative choice tasks. We focus on the speed-accuracy tradeoff, i.e., the tradeoff between a quick decision and a reliable…

Optimization and Control · Mathematics 2014-02-18 Vaibhav Srivastava , Naomi Ehrich Leonard

Models in evolutionary game theory traditionally assume symmetric interactions in homogeneous environments. Here, we consider populations evolving in a heterogeneous environment, which consists of patches of different qualities that are…

Populations and Evolution · Quantitative Biology 2018-12-11 Christoph Hauert , Camille Saade , Alex McAvoy

Networks observed in real world like social networks, collaboration networks etc., exhibit temporal dynamics, i.e. nodes and edges appear and/or disappear over time. In this paper, we propose a generative, latent space based, statistical…

Social and Information Networks · Computer Science 2018-11-08 Shubham Gupta , Gaurav Sharma , Ambedkar Dukkipati