549 citations · 1.2k across the 16 of their papers we have counts for
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physics.soc-ph2008★ 8 cited
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…
math.OC2008★ 56 cited
On Conditions for Convergence to Consensus
Jan Lorenz, Dirk A. Lorenz
A new theorem on conditions for convergence to consensus of a multiagent time-dependent time-discrete dynamical system is presented. The theorem is build up on the notion of averag…
physics.soc-ph2008★ 149 cited
Heterogeneous bounds of confidence: Meet, Discuss and Find Consensus!
Jan Lorenz
Models of continuous opinion dynamics under bounded confidence show a sharp transition between a consensus and a polarization phase at a critical global bound of confidence. In thi…