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On final opinions of the Friedkin-Johnsen model over random graphs with partially stubborn community
KTH, Skolan för elektroteknik och datavetenskap (EECS), Intelligenta system, Reglerteknik. KTH, Skolan för elektroteknik och datavetenskap (EECS), Centra, Digital futures.
KTH, Skolan för elektroteknik och datavetenskap (EECS), Intelligenta system, Reglerteknik. KTH, Skolan för elektroteknik och datavetenskap (EECS), Centra, Digital futures.ORCID-id: 0000-0003-2641-2962
KTH, Skolan för elektroteknik och datavetenskap (EECS), Intelligenta system, Reglerteknik. KTH, Skolan för elektroteknik och datavetenskap (EECS), Centra, Digital futures.ORCID-id: 0000-0001-9940-5929
2024 (engelsk)Inngår i: 2024 IEEE 63rd Conference on Decision and Control, CDC 2024, Institute of Electrical and Electronics Engineers (IEEE) , 2024, s. 4562-4567Konferansepaper, Publicerat paper (Fagfellevurdert)
Abstract [en]

This paper studies the formation of final opinions for the Friedkin-Johnsen (FJ) model with a community of partially stubborn agents. The underlying network of the FJ model is symmetric and generated from a random graph model, in which each link is added independently from a Bernoulli distribution. It is shown that the final opinions of the FJ model will concentrate around those of an FJ model over the expected graph as the network size grows, on the condition that the stubborn agents are well connected to other agents. Probability bounds are proposed for the distance between these two final opinion vectors, respectively for the cases where there exist non-stubborn agents or not. Numerical experiments are provided to illustrate the theoretical findings. The simulation shows that, in presence of non-stubborn agents, the link probability between the stubborn and the non-stubborn communities affect the distance between the two final opinion vectors significantly. Additionally, if all agents are stubborn, the opinion distance decreases with the agent stubbornness.

sted, utgiver, år, opplag, sider
Institute of Electrical and Electronics Engineers (IEEE) , 2024. s. 4562-4567
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URN: urn:nbn:se:kth:diva-361769DOI: 10.1109/CDC56724.2024.10886515ISI: 001445827203143Scopus ID: 2-s2.0-86000668661OAI: oai:DiVA.org:kth-361769DiVA, id: diva2:1948036
Konferanse
63rd IEEE Conference on Decision and Control, CDC 2024, Milan, Italy, Dec 16 2024 - Dec 19 2024
Merknad

Part of ISBN 9798350316339

QC 20250401

Tilgjengelig fra: 2025-03-27 Laget: 2025-03-27 Sist oppdatert: 2025-12-05bibliografisk kontrollert

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Wang, LingfeiXing, YuJohansson, Karl H.

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