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Majority dynamics with one nonconformist

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Haslegrave, John and Cannings, Chris (2017) Majority dynamics with one nonconformist. Discrete Applied Mathematics, 219 . pp. 32-39. doi:10.1016/j.dam.2016.12.004 ISSN 0166-218X.

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Official URL: https://doi.org/10.1016/j.dam.2016.12.004

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Abstract

We consider a system in which a group of agents represented by the vertices of a graph synchronously update their opinion based on that of their neighbours. If each agent adopts a positive opinion if and only if that opinion is sufficiently popular among his neighbours, the system will eventually settle into a fixed state or alternate between two states. If one agent acts in a different way, other periods may arise. We show that only a small number of periods may arise if natural restrictions are placed either on the neighbourhood structure or on the way in which the nonconforming agent may act; without either of these restrictions any period is possible.

Item Type: Journal Article
Subjects: J Political Science > JF Political institutions (General)
Q Science > QA Mathematics
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH): Voting -- Mathematical models, Graph theory
Journal or Publication Title: Discrete Applied Mathematics
Publisher: Elsevier Science Ltd.
ISSN: 0166-218X
Official Date: 11 March 2017
Dates:
DateEvent
11 March 2017Published
2 January 2017Available
8 December 2016Accepted
Volume: 219
Page Range: pp. 32-39
DOI: 10.1016/j.dam.2016.12.004
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Date of first compliant deposit: 15 December 2016
Date of first compliant Open Access: 2 January 2018
Funder: Seventh Framework Programme (European Commission) (FP7), European Research Council (ERC), Horizon 2020 (European Commission) (H2020)
Grant number: HIERATIC 316705 (FP7), No. 639046 (H2020)
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