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Article Dans Une Revue IEEE Control Systems Letters Année : 2020

Opinion Dynamics with Topological Gossiping: Asynchronous Updates under Limited Attention

Wilbert Samuel Rossi
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Paolo Frasca

Résumé

This paper introduces a general model of opinion dynamics with opinion-dependent connectivity. Agents update their opinions asynchronously: for the updating agent, the new opinion is the average of the k closest opinions within a subset of m agents that are sampled from the population of size n. Depending on k and m with respect to n, the dynamics can have a variety of equilibria, which include consensus and clustered configurations. The model covers as special cases a classical gossip update (if m = n) and a deterministic update defined by the k nearest neighbors (if m = k). We prove that the dynamics converges to consensus if n > 2(m − k). Before convergence, however, the dynamics can remain for long time in the vicinity of metastable clustered configurations.
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Dates et versions

hal-03032710 , version 1 (01-12-2020)

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Wilbert Samuel Rossi, Paolo Frasca. Opinion Dynamics with Topological Gossiping: Asynchronous Updates under Limited Attention. IEEE Control Systems Letters, 2020, 4 (3), pp.566-571. ⟨10.1109/LCSYS.2020.2974822⟩. ⟨hal-03032710⟩
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