8 research outputs found
Asynchronous opinion dynamics on the -nearest-neighbors graph
This paper is about a new model of opinion dynamics with opinion-dependent
connectivity. We assume that agents update their opinions asynchronously and
that each agent's new opinion depends on the opinions of the agents that
are closest to it. We show that the resulting dynamics is substantially
different from comparable models in the literature, such as bounded-confidence
models. We study the equilibria of the dynamics, observing that they are robust
to perturbations caused by the introduction of new agents. We also prove that
if the number of agents is smaller than , the dynamics converge to
consensus. This condition is only sufficient.Comment: 17 pages, 4 figures, (to be) presented at the 57th IEEE Conference on
Decision and Control, 201
Asynchronous opinion dynamics on the k-nearest-neighbors graph
International audienceThis paper is about a new model of opinion dynamics with opinion-dependent connectivity. We assume that agents update their opinions asynchronously and that each agent's new opinion depends on the opinions of the k agents that are closest to it. We show that the resulting dynamics is substantially different from comparable models in the literature, such as bounded-confidence models. We study the equilibria of the dynamics, observing that they are robust to perturbations caused by the introduction of new agents. We also prove that if the number of agents n is smaller than 2k, the dynamics converge to consensus. This condition is only sufficient