In this paper we study a new model of opinion dynamics in social networks, which has two main features. First, agents asynchronously interact in pairs, and these pairs are chosen according to a random process: following recent literature, we refer to this communication model as “gossiping‿. Second, agents are not completely open-minded, but instead take into account their initial opinions, which may be thought of as their “prejudices‿. In the literature, such agents are often called “stubborn‿. We show that the opinions of the agents fail to converge, but persistently undergo ergodic oscillations, which asymptotically concentrate around a mean distribution of opinions. This mean value is exactly the limit of the synchronous dynamics of the expected opinions.
|Title of host publication||Estimation and Control of Networked Systems - Proceedings of the 4th IFAC Workshop on Distributed Estimation and Control in Networked Systems|
|Publisher||International Federation of Automatic Control|
|Number of pages||8|
|Publication status||Published - Sep 2013|
|Publisher||International federation of Automatic Control|
Frasca, P., Ravazzi, C., Tempo, R., & Ishii, H. (2013). Gossips and prejudices: ergodic randomized dynamics in social networks. In Estimation and Control of Networked Systems - Proceedings of the 4th IFAC Workshop on Distributed Estimation and Control in Networked Systems (pp. 212-219). International Federation of Automatic Control. https://doi.org/10.3182/20130925-2-DE-4044.00024