8 papers
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…
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…
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…
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…
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…