# Gossips and Prejudices: Ergodic Randomized Dynamics in Social Networks

arXiv: https://arxiv.org/abs/1304.2268 · HTML: https://mlsanity.com/paper/1304.2268/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 8 Apr 2013.

## Built on by (most cited first, 1 of 1)

- [Reachability analysis in stochastic directed graphs by reinforcement learning](https://mlsanity.com/paper/2202.12546/) (2022)

## Abstract (arXiv)

In this paper we study a novel 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. 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.