549 citations · 909 across the 8 of their papers we have counts for
7 papers · 1 filter
Fixed points in models of continuous opinion dynamics under bounded confidence
Jan Lorenz
We present two models of continuous opinion dynamics under bounded confidence which are representable as nonnegative discrete dynamical systems, namely the Hegselmann-Krause model…
Systemic risk in a network fragility model analyzed with probability density evolution of persistent random walks
Jan Lorenz, Stefano Battiston
We study the mean field approximation of a recent model of cascades on networks relevant to the investigation of systemic risk control in financial networks. In the model, the hypo…
Communication regimes in opinion dynamics: Changing the number of communicating agents
Diemo Urbig, Jan Lorenz
This article contributes in four ways to the research on time-discrete continuous opinion dynamics with compromising agents. First, communication regimes are introduced as an eleme…
Continuous Opinion Dynamics: Insights through Interactive Markov Chains
Jan Lorenz
We reformulate the agent-based opinion dynamics models of Weisbuch-Deffuant and Hegselmann-Krause as interactive Markov chains. So we switch the scope from a finite number of n age…
Fostering Consensus in Multidimensional Continuous Opinion Dynamics under Bounded Confidence
Jan Lorenz
Social consensus is important for society. Sometimes the success of society depends on a consensus (e.g. the decision to pay taxes or to commit to the constitution). Examples for c…
A stabilization theorem for dynamics of continuous opinions
Jan Lorenz
A stabilization theorem for processes of opinion dynamics is presented. The theorem is applicable to a wide class of models of continuous opinion dynamics based on averaging (like…