A Comment on and Correction to: Opinion dynamics in the presence of increasing agreement pressure

Abstract

We identify a counter-example to the consensus result given in [J. Semonsen et al. Opinion dynamics in the presence of increasing agreement pressure. IEEE Trans. Cyber., 49(4): [1270][1271][1272][1273][1274][1275][1276][1277][1278] 2018]. We resolve the counter-example by replacing Lemma 5 in the given reference with a novel variation of the Banach Fixed Point theorem which explains both the numerical results in the reference and the counterexample(s) in this note, and provides a sufficient condition for consensus in systems with increasing peer-pressure. This work is relevant for other papers that have used the proof technique from Semonsen et al. and establishes the veracity of their claims assuming the new sufficient condition.