Anti-conformism in the Threshold Model of Collective Behavior

Grabisch M, Li F (2020)
Dynamic Games and Applications 10(2): 444-477.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Grabisch, Michel; Li, FenUniBi
Abstract / Bemerkung
We provide a detailed study of the threshold model, where both conformist and anti-conformist agents coexist. Our study bears essentially on the convergence of the opinion dynamics in the society of agents, i.e., finding absorbing classes, cycles, etc. Also, we are interested in the existence of cascade effects, as this may constitute an undesirable phenomenon in collective behavior. We divide our study into two parts. In the first one, we basically study the threshold model supposing a fixed complete network, where every one is connected to every one, like in the seminal work of Granovetter. We study the case of a uniform distribution of the threshold, of a Gaussian distribution, and finally give a result for arbitrary distributions, supposing there is one type of anti-conformist. In a second part, we suppose that the neighborhood of an agent is random, drawn at each time step from a distribution. We distinguish the case where the degree (number of links) of an agent is fixed, and where there is an arbitrary degree distribution. We show the existence of cascades and that for most societies, the opinion converges to a chaotic situation.
Erscheinungsjahr
2020
Zeitschriftentitel
Dynamic Games and Applications
Band
10
Ausgabe
2
Seite(n)
444-477
ISSN
2153-0785
eISSN
2153-0793
Page URI
https://pub.uni-bielefeld.de/record/2952454

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Grabisch M, Li F. Anti-conformism in the Threshold Model of Collective Behavior. Dynamic Games and Applications. 2020;10(2):444-477.
Grabisch, M., & Li, F. (2020). Anti-conformism in the Threshold Model of Collective Behavior. Dynamic Games and Applications, 10(2), 444-477. https://doi.org/10.1007/s13235-019-00332-0
Grabisch, M., and Li, F. (2020). Anti-conformism in the Threshold Model of Collective Behavior. Dynamic Games and Applications 10, 444-477.
Grabisch, M., & Li, F., 2020. Anti-conformism in the Threshold Model of Collective Behavior. Dynamic Games and Applications, 10(2), p 444-477.
M. Grabisch and F. Li, “Anti-conformism in the Threshold Model of Collective Behavior”, Dynamic Games and Applications, vol. 10, 2020, pp. 444-477.
Grabisch, M., Li, F.: Anti-conformism in the Threshold Model of Collective Behavior. Dynamic Games and Applications. 10, 444-477 (2020).
Grabisch, Michel, and Li, Fen. “Anti-conformism in the Threshold Model of Collective Behavior”. Dynamic Games and Applications 10.2 (2020): 444-477.

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