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Opinion Dynamics wi...
Opinion Dynamics with Random Actions and a Stubborn Agent
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- Abrahamsson, Olle (author)
- Linköpings universitet,Kommunikationssystem,Tekniska fakulteten
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- Danev, Danyo (author)
- Linköpings universitet,Kommunikationssystem,Tekniska fakulteten
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- Larsson, Erik G (author)
- Linköpings universitet,Kommunikationssystem,Tekniska fakulteten
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(creator_code:org_t)
- IEEE, 2019
- 2019
- English.
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In: CONFERENCE RECORD OF THE 2019 FIFTY-THIRD ASILOMAR CONFERENCE ON SIGNALS, SYSTEMS & COMPUTERS. - : IEEE. - 9781728143002 ; , s. 1486-1490
- Related links:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Subject headings
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- We study opinion dynamics in a social network with stubborn agents who influence their neighbors but who themselves always stick to their initial opinion. We consider first the well-known DeGroot model. While it is known in the literature that this model can lead to consensus even in the presence of a stubborn agent, we show that the same result holds under weaker assumptions than has been previously reported. We then consider a recent extension of the DeGroot model in which the opinion of each agent is a random Bernoulli distributed variable, and by leveraging on the first result we establish that this model also leads to consensus, in the sense of convergence in probability, in the presence of a stubborn agent. Moreover, all agents opinions converge to that of the stubborn agent.
Subject headings
- NATURVETENSKAP -- Data- och informationsvetenskap -- Datavetenskap (hsv//swe)
- NATURAL SCIENCES -- Computer and Information Sciences -- Computer Sciences (hsv//eng)
Publication and Content Type
- ref (subject category)
- kon (subject category)
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