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Consensus in opinion dynamics as a repeated game

Abstract:
We study an n-agent averaging process with dynamics subject to controls and adversarial disturbances. The model arises in multi-population opinion dynamics with macroscopic and microscopic intertwined dynamics. The averaging process describes the in uence from neighbouring populations, whereas the input term indicates how the distribution of opinions in the population changes as a result of dynamical evolutions at a microscopic level (individuals' changing opinions). The input term is obtained as the vector payoff of a two player repeated game. We study conditions under which the agents achieve robust consensus to some predefined target set. Such conditions build upon the approachability principle in repeated games with vector payoffs.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.automatica.2017.12.062

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Institution:
University of Oxford
Division:
MPLS
Department:
Engineering Science
Oxford college:
St John's College
Role:
Author


Publisher:
Elsevier
Journal:
Automatica More from this journal
Volume:
90
Pages:
204-211
Publication date:
2018-02-17
Acceptance date:
2017-10-31
DOI:
ISSN:
0005-1098


Keywords:
Pubs id:
pubs:807137
UUID:
uuid:464a519d-db4f-450e-b936-f55baa4a3861
Local pid:
pubs:807137
Source identifiers:
807137
Deposit date:
2017-12-01

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