In this paper, we study the asymptotic behaviors of threshold models used to describe the formation of collective actions in social networks. At each time instant, each agent of the network makes a choice between two possible actions. The decision is made on the basis of the actions chosen by its neighbors and the value of a dynamically updated threshold. The main novelty of the proposed model is the introduction of a parameter accounting for the level of self-confidence of the agents, which affects the dynamic evolution of the threshold and in turn the way the agents make their decision. The objective is to identify which are the possible limiting behaviors of the network and under which conditions each of them occurs. Three different network topologies are considered. In the case of complete graph, the asymptotic behaviors are analytically characterized, whereas for star and ring graphs an extensive numerical analysis is presented.

Garulli, A., Giannitrapani, A., Valentini, M. (2015). Analysis of threshold models for collective actions in social networks. In Proceedings of the 14th European Control Conference (pp.211-216). New York : IEEE [10.1109/ECC.2015.7330547].

Analysis of threshold models for collective actions in social networks

Garulli, Andrea;Giannitrapani, Antonio;
2015-01-01

Abstract

In this paper, we study the asymptotic behaviors of threshold models used to describe the formation of collective actions in social networks. At each time instant, each agent of the network makes a choice between two possible actions. The decision is made on the basis of the actions chosen by its neighbors and the value of a dynamically updated threshold. The main novelty of the proposed model is the introduction of a parameter accounting for the level of self-confidence of the agents, which affects the dynamic evolution of the threshold and in turn the way the agents make their decision. The objective is to identify which are the possible limiting behaviors of the network and under which conditions each of them occurs. Three different network topologies are considered. In the case of complete graph, the asymptotic behaviors are analytically characterized, whereas for star and ring graphs an extensive numerical analysis is presented.
2015
978-395242693-7
Garulli, A., Giannitrapani, A., Valentini, M. (2015). Analysis of threshold models for collective actions in social networks. In Proceedings of the 14th European Control Conference (pp.211-216). New York : IEEE [10.1109/ECC.2015.7330547].
File in questo prodotto:
File Dimensione Formato  
Ecc15_ThresholdModels_final.pdf

non disponibili

Descrizione: Articolo principale
Tipologia: Post-print
Licenza: NON PUBBLICO - Accesso privato/ristretto
Dimensione 257.84 kB
Formato Adobe PDF
257.84 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11365/976633