activity
20162026
most citedLaSalle Invariance Principle for Discrete-time Dynamical Systems: A Concise and Self-contained Tutorial

35 citations · 66 across the 22 of their papers we have counts for

collaborators

22 papers

eess.SY2026

A Minimal Dynamical Model for Incubation-Outbreak Transitions in Social Norm Diffusion

Run Wang, Leonardo Cianfanelli, Giacomo Como +1

In this paper, we introduce a minimal dynamical model for the diffusion of a new social norm, in which individuals transition among three states: non-supporters, silent supporters,…

math.OC2026

Forgetting-Factor Regret for Online Zero-Sum Games

Yuhang Liu, Zi'ang Yan, Wenjun Mei +1

This paper studies dynamic equilibrium tracking in online two-player zero-sum games with time-varying convex-concave payoff functions. Existing regret metrics for online saddle-poi…

math.OC2025

A Zeroth-order Resilient Algorithm for Distributed Online Optimization against Byzantine Edge Attacks

Yuhang Liu, Wenjun Mei

In this paper, we propose a zeroth-order resilient distributed online algorithm for networks under Byzantine edge attacks. We assume that both the edges attacked by Byzantine adver…

cs.SI2025

Meritocracy versus Matthew-effect: Two underlying network formation mechanisms of online social platforms

Yuchen Xu, Wenjun Mei, Ge Chen +1

With the rapid development of the internet industry, online social networks have come to play an increasingly significant role in everyday life. In recent years, content-based emer…

math.DS2025

Convergence and consensus analysis of a class of best-response opinion dynamics

Yuchen Xu, Yi Han, Chuanzhe Zhang +2

Opinion dynamics aims to understand how individuals' opinions evolve through local interactions. Recently, opinion dynamics have been modeled as network games, where individuals up…

math.OC2024★ 6 cited

Multidimensional Opinion Dynamics with Heterogeneous Bounded Confidences and Random Interactions

Jiangjiang Cheng, Ge Chen, Wenjun Mei +1

This paper introduces a heterogeneous multidimensional bounded confidence (BC) opinion dynamics with random pairwise interactions, whereby each pair of agents accesses each other's…

math.OC2024

Convergence of the Heterogeneous Deffuant-Weisbuch Model: A Complete Proof and Some Extensions

Ge Chen, Wei Su, Wenjun Mei +1

The Deffuant-Weisbuch (DW) model is a well-known bounded-confidence opinion dynamics that has attracted wide interest. Although the heterogeneous DW model has been studied by simul…

eess.SY2024★ 1 cited

Convergence Analysis of Weighted-Median Opinion Dynamics with Prejudice

Ruichang Zhang, Zhixin Liu, Ge Chen +1

The Friedkin-Johnsen (FJ) model introduces prejudice into the opinion evolution and has been successfully validated in many practical scenarios; however, due to its weighted averag…

eess.SY2024

Modeling, Analysis, and Control of Continuous-Time Weighted-Median Opinion Dynamics

Yi Han, Julien M. Hendrickx, Ge Chen +1

Simple yet predictive mathematical models are essential for mechanistic understanding of opinion evolution in social groups. The weighted-median mechanism has recently been propose…

q-bio.PE2023★ 9 cited

Evolutionary Games on Networks: Phase Transition, Quasi-equilibrium, and Mathematical Principles

Jiangjiang Cheng, Wenjun Mei, Wei Su +1

The stable cooperation ratio of spatial evolutionary games has been widely studied using simulations or approximate analysis methods. However, sometimes such ``stable'' cooperation…

eess.SY2022★ 2 cited

Convergence, Consensus and Dissensus in the Weighted-Median Opinion Dynamics

Wenjun Mei, Julien M. Hendrickx, Ge Chen +2

Mechanistic and tractable mathematical models play a key role in understanding how social influence shapes public opinions. Recently, a weighted-median mechanism has been proposed…

cs.SI2020

Structural Balance and Interpersonal Appraisals Dynamics: Beyond All-to-All and Two-Faction Networks

Wenjun Mei, Ge Chen, Noah E. Friedkin +1

Structural balance theory describes stable configurations of topologies of signed interpersonal appraisal networks. Existing models explaining the convergence of appraisal networks…

cs.SI2020★ 1 cited

Assign and Appraise: Achieving Optimal Performance in Collaborative Teams

Elizabeth Y. Huang, Dario Paccagnan, Wenjun Mei +1

Tackling complex team problems requires understanding each team member's skills in order to devise a task assignment maximizing the team performance. This paper proposes a novel qu…

eess.SY2020★ 1 cited

Interplay Between Homophily-Based Appraisal Dynamics and Influence-Based Opinion Dynamics: Modeling and Analysis

Fangzhou Liu, Shaoxuan Cui, Wenjun Mei +2

In social systems, the evolution of interpersonal appraisals and individual opinions are not independent processes but intertwine with each other. Despite extensive studies on both…

cs.SI2019★ 2 cited

Rethinking the Micro-Foundation of Opinion Dynamics: Rich Consequences of the Weighted-Median Mechanism

Wenjun Mei, Francesco Bullo, Ge Chen +2

To identify the main mechanisms underlying complex opinion formation processes in social systems, researchers have long been exploring simple mechanistic mathematical models. Most…

eess.SY2019★ 2 cited

Convergence Properties of the Heterogeneous Deffuant-Weisbuch Model

Ge Chen, Wei Su, Wenjun Mei +1

The Deffuant-Weisbuch (DW) model is a bounded-confidence opinion dynamics model that has attracted much recent interest. Despite its simplicity and appeal, the DW model has proved…

cs.SI2017★ 4 cited

Dynamic Social Balance and Convergent Appraisals via Homophily and Influence Mechanisms

Wenjun Mei, Pedro Cisneros-Velarde, Ge Chen +2

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 d…

math.DS2017★ 35 cited

LaSalle Invariance Principle for Discrete-time Dynamical Systems: A Concise and Self-contained Tutorial

Wenjun Mei, Francesco Bullo

LaSalle invariance principle was originally proposed in the 1950's and has become a fundamental mathematical tool in the area of dynamical systems and control. In both theoretical…

math.OC2017

Linear Stochastic Approximation Algorithms and Group Consensus over Random Signed Networks: A Technical Report with All Proofs

Ge Chen, Xiaoming Duan, Wenjun Mei +1

This paper studies linear stochastic approximation (SA) algorithms and their application to multi-agent systems in engineering and sociology. As main contribution, we provide neces…

cs.SI2017

On the Dynamics of Deterministic Epidemic Propagation over Networks

Wenjun Mei, Shadi Mohagheghi, Sandro Zampieri +1

In this work we review a class of deterministic nonlinear models for the propagation of infectious diseases over contact networks with strongly-connected topologies. We consider ne…

cs.SI2016★ 1 cited

Competitive Propagation: Models, Asymptotic Behavior and Multi-stage Games

Wenjun Mei, Francesco Bullo

In this paper we propose a class of propagation models for multiple competing products over a social network. We consider two propagation mechanisms: social conversion and self con…

cs.SI2016★ 2 cited

Dynamic Models of Appraisal Networks Explaining Collective Learning

Wenjun Mei, Noah E. Friedkin, Kyle Lewis +1

This paper proposes models of learning process in teams of individuals who collectively execute a sequence of tasks and whose actions are determined by individual skill levels and…