14 citations · 37 across the 15 of their papers we have counts for
17 papers
Pairwise Attraction-Repulsion on Multilayer Social Networks
Hsin-Lun Li
We introduce a probabilistic pairwise \emph{attraction--repulsion} model for opinion dynamics on multilayer social networks, in which agents hold layer-specific states and interact…
Asymptotic Stability of Conservative Convex-Combination Dynamics on Multilayer Graphs
Hsin-Lun Li
We study discrete-time consensus dynamics on multilayer networks in which each layer evolves via a time-varying doubly stochastic interaction matrix, and inter-layer coupling is in…
The (n,k) game with heterogeneous agents
Hsin-Lun Li
The \((n,k)\) game models a group of \(n\) individuals with binary opinions, say 1 and 0, where a decision is made if at least \(k\) individuals hold opinion 1. This paper explores…
A straightforward proof of the critical value in the Hegselmann-Krause model: up to one-half
Hsin-Lun Li
In the Hegselmann-Krause model, an agent updates its opinion by averaging with others whose opinions differ by at most a given confidence threshold. With agents' initial opinions u…
Mixed Hegselmann-Krause Dynamics on infinite graphs
Hsin-Lun Li
The mixed Hegselmann-Krause (HK) model covers the synchronous Hegselmann-Krause model, the asynchronous Hegselmann-Krause model and the Deffuant model. Previous study~\cite{mHK, mH…
Application of the Deffuant model in money exchange
Hsin-Lun Li
A money transfer involves a buyer and a seller. A buyer buys goods or services from a seller. The money the buyer decreases is the same as that the seller increases. At each time s…
An imitation model based on the majority
Hsin-Lun Li
The voter model consists of a set of agents whose opinion is a binary variable. At each time step, an agent along with a social neighbor is selected and the agent imitates the soci…
Bonabeau model on fully occupied site graphs
Hsin-Lun Li
The Bonabeau model is a competing model where agents fight to maintain or change their positions. Originally studied on a finite lattice, in this model, one agent is randomly selec…
Application of the Fermi function in money exchange
Hsin-Lun Li
In a money exchange process involving a seller and a buyer, we develop a straightforward model encompassing conservative, non-conservative, and systems with or without debt. Our mo…
Mixed Hegselmann-Krause Dynamics II
Hsin-Lun Li
The mixed Hegselmann-Krause (HK) model consists of a finite number of agents characterized by their opinion, a vector in . For the deterministic case, each agent upda…
Mixed Deffuant Dynamics
Hsin-Lun Li
The original Deffuant model consists of a finite number of agents whose opinion is a number in . Two socially connected agents are uniformly randomly selected at each time s…
Consensus in the Hegselmann-Krause model
Nicolas Lanchier, Hsin-Lun Li
This paper is concerned with the probability of consensus in a multivariate, spatially explicit version of the Hegselmann-Krause model for the dynamics of opinions. Individuals are…
Leader-Follower Dynamics
Hsin-Lun Li
The original Leader-Follower model, proposed in \cite{zhao2018understanding}, categorizes agents with opinions in into a follower group, a leader group with a positive tar…
Mixed Hegselmann-Krause Dynamics--Nondeterministic Case
Hsin-Lun Li
The original Hegselmann-Krause (HK) model is composed of a finite number of agents characterized by their opinion, a number in . An agent updates its opinion via taking the…
Probability of Consensus of Hegselmann-Krause Dynamics
Hsin-Lun Li
The original Hegselmann-Krause (HK) model comprises a set of agents characterized by their opinion, a number in . Agent updates its opinion via taking the aver…
Mixed Hegselmann-Krause Dynamics
Hsin-Lun Li
The original Hegselmann-Krause (HK) model consists of a set of~ agents that are characterized by their opinion, a number in~. Each agent, say agent~, updates its opin…
Probability of consensus in the multivariate Deffuant model on finite connected graphs
Nicolas Lanchier, Hsin-Lun Li
The Deffuant model is a spatial stochastic model for the dynamics of opinions in which individuals are located on a connected graph representing a social network and characterized…