Skip to main content
We gratefully acknowledge support from the Simons Foundation, member institutions, and all contributors. Donate
arXiv logo
Cornell University Logo

Mathematics > Optimization and Control

arXiv:2210.00353 (math)
[Submitted on 1 Oct 2022 (v1), last revised 22 Mar 2023 (this version, v2)]

Title:Sustained oscillations in multi-topic belief dynamics over signed networks

Authors:Anastasia Bizyaeva, Alessio Franci, Naomi Ehrich Leonard
View PDF
Abstract:We study the dynamics of belief formation on multiple interconnected topics in networks of agents with a shared belief system. We establish sufficient conditions and necessary conditions under which sustained oscillations of beliefs arise on the network in a Hopf bifurcation and characterize the role of the communication graph and the belief system graph in shaping the relative phase and amplitude patterns of the oscillations. Additionally, we distinguish broad classes of graphs that exhibit such oscillations from those that do not.
Comments: 6 pages, 6 figures, accepted for publication in the 2023 American Control Conference proceedings
Subjects: Optimization and Control (math.OC); Multiagent Systems (cs.MA); Social and Information Networks (cs.SI); Dynamical Systems (math.DS); Physics and Society (physics.soc-ph)
Cite as: arXiv:2210.00353 [math.OC]
  (or arXiv:2210.00353v2 [math.OC] for this version)
  https://doi.org/10.48550/arXiv.2210.00353

Submission history

From: Anastasia Bizyaeva [view email]
[v1] Sat, 1 Oct 2022 20:00:49 UTC (3,219 KB)
[v2] Wed, 22 Mar 2023 18:39:42 UTC (3,217 KB)
Full-text links:

Access Paper:

  • View PDF
  • TeX Source
  • Other Formats
view license
Current browse context:
math.OC
< prev   |   next >
new | recent | 2022-10
Change to browse by:
cs
cs.MA
cs.SI
math
math.DS
physics
physics.soc-ph

References & Citations

export BibTeX citation

Bookmark

BibSonomy logo Reddit logo

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)