How Long Does it Take to Consensus in the Hegselmann-Krause Model?
2 Pages Posted: 24 May 2014
Date Written: May 22, 2014
Hegselmann and Krause introduced a discrete-time model of opinion dynamics with agents having limit confidence. It is well known that the dynamics reaches a stable state in a polynomial number of time steps. However, the gap between the known lower and upper bounds for the worst case is still immense. In this paper exact values for the maximum time, needed to reach consensus or to discover that consensus is impossible, are determined for small number of agents using an integer linear programming approach.
Keywords: opinion dynamics, bounded confidence, Hegselmann-Krause model, consensus, dynamical systems
JEL Classification: C61, D74, C63
Suggested Citation: Suggested Citation