7 papers · 1 filter
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…
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…
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…