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math.PR2024
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…
math.PR2024
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…
math.PR2024
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…