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.

Gossips and Prejudices: ergodic randomized dynamics in social networks / Frasca, Paolo; Ravazzi, Chiara; Tempo, R.; Ishii, H.. - ELETTRONICO. - 4:(2013), pp. 212-219. (Intervento presentato al convegno 4th IFAC Workshop on Distributed Estimation and Control in Networked Systems tenutosi a Koblenz, Germany nel 25-26 September 2013) [10.3182/20130925-2-DE-4044.00024].

Gossips and Prejudices: ergodic randomized dynamics in social networks

FRASCA, PAOLO;RAVAZZI, CHIARA;
2013

Abstract

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.
2013
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2524688
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