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We develop a thermodynamic framework for modeling innovation adoption and abandonment dynamics using statistical mechanics. Starting from a mathematical model for an adoption distribution that fits empirically obtained date, we construct a…

Physics and Society · Physics 2026-04-21 Guilherme S. Y. Giardini , Carlo R. daCunha

Many products and innovations become well-known and widely adopted through the social interactions of individuals in a population. The Bass diffusion model has been widely used to model the temporal evolution of adoption in such social…

Social and Information Networks · Computer Science 2016-06-13 Vahideh H. Manshadi , Sidhant Misra

Information propagation on networks is a central theme in social, behavioral, and economic sciences, with important theoretical and practical implications, such as the influence maximization problem for viral marketing. Here, we consider a…

Social and Information Networks · Computer Science 2022-09-26 Yu Tian , Renaud Lambiotte

Addressing global challenges often involves stimulating the large-scale adoption of new products or behaviors. Research traditions that focus on individual decision making suggest that achieving this objective requires identifying the…

Physics and Society · Physics 2026-04-23 Radu Tanase , René Algesheimer , Manuel S. Mariani

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

We consider the problem of predicting the time evolution of influence, the expected number of activated nodes, given a set of initially active nodes on a propagation network. To address the significant computational challenges of this…

Social and Information Networks · Computer Science 2017-01-10 Shui-Nee Chow , Xiaojing Ye , Hongyuan Zha , Haomin Zhou

We study a simple model of how social behaviors, like trends and opinions, propagate in networks where individuals adopt the trend when they are informed by threshold $T$ neighbors who are adopters. Using a dynamic message-passing…

Physics and Society · Physics 2015-06-18 Munik Shrestha , Cristopher Moore

Influence maximization is the problem of finding a set of influential users in a social network such that the expected spread of influence under a certain propagation model is maximized. Much of the previous work has neglected the important…

Social and Information Networks · Computer Science 2016-11-18 Wei Lu , Laks V. S. Lakshmanan

In this paper, we propose a new framework for the design of incentives aimed at promoting innovation diffusion in social influence networks. In particular, our framework relies on an extension of the Friedkin and Johnsen opinion dynamics…

Systems and Control · Electrical Eng. & Systems 2025-11-25 Lisa Piccinin , Valentina Breschi , Chiara Ravazzi , Fabrizio Dabbene , Mara Tanelli

What are the key-features that enable an information diffusion model to explain the inherent dynamic, and often competitive, nature of real-world propagation phenomena? In this paper we aim to answer this question by proposing a novel class…

Social and Information Networks · Computer Science 2018-05-30 Antonio Caliò , Andrea Tagarelli

Learning influence pathways of a network of dynamically related processes from observations is of considerable importance in many disciplines. In this article, influence networks of agents which interact dynamically via linear dependencies…

Systems and Control · Computer Science 2018-09-28 Saurav Talukdar , Deepjyoti Deka , Harish Doddi , Donatello Materassi , Misha Chertkov , Murti V. Salapaka

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

A key ingredient in social contagion dynamics is reinforcement, as adopting a certain social behavior requires verification of its credibility and legitimacy. Memory of non-redundant information plays an important role in reinforcement,…

Physics and Society · Physics 2015-07-29 Wei Wang , Ming Tang , Hai-Feng Zhang , Ying-Cheng Lai

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

This paper addresses the problem of positive consensus of directed multi-agent systems with observer-type output-feedback protocols. More specifically, directed graph is used to model the communication topology of the multi-agent system and…

Optimization and Control · Mathematics 2020-09-02 Nachuan Yang , Yonghua Yin , Jinrong Liu

We study consumption behaviour in systems with heterogeneous interacting agents. Two different models are introduced, respectively with long and short range interactions among agents. At any time step an agent decides whether or not to…

Statistical Mechanics · Physics 2008-12-02 Giulia Iori , Vassilis Koulovassilopoulos

Influence maximization in temporal social networks presents unique challenges due to the dynamic interactions that evolve over time. Traditional diffusion models often fall short in capturing the real-world complexities of active-inactive…

Social and Information Networks · Computer Science 2025-07-24 Aaqib Zahoor , Iqra Altaf Gillani , Janib ul Bashir

We develop a game-theoretic framework for the study of competition between firms who have budgets to "seed" the initial adoption of their products by consumers located in a social network. The payoffs to the firms are the eventual number of…

Computer Science and Game Theory · Computer Science 2012-04-24 Sanjeev Goyal , Michael Kearns

In this paper we have proposed a basic agent-based model based on evolutionary dynamics for investigating innovation initiation process. In our model we suppose each agent will represent a firm which is interacting with other firms through…

Bias in recommender systems not only distorts user experience but also perpetuates and amplifies existing societal stereotypes, particularly in sectors like fashion e-commerce. This study employs a dynamic modeling approach to scrutinize…

Information Retrieval · Computer Science 2025-10-28 Mahsa Goodarzi , M. Abdullah Canbaz