Distribution of consensus in a broadcast-based consensus algorithm with random initial opinions

DOI10.1017/jpr.2023.9zbMath1530.91493OpenAlexW4375951926MaRDI QIDQ6148885

Shigeo Shioda, Unnamed Author

Publication date: 12 January 2024

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/jpr.2023.9

zbMATH Keywords

Gaussiancentral limit theoremstable distributionCauchyLévy

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Central limit and other weak theorems (60F05) Social networks; opinion dynamics (91D30)

Cites Work

• First- and second-order diffusive methods for rapid, coarse, distributed load balancing
• Predictable Dynamics of Opinion Forming for Networks With Antagonistic Interactions
• Probability
• Broadcast Gossip Algorithms for Consensus
• Reaching a Consensus
• Probability laws of consensus in a broadcast-based consensus-forming algorithm
• Univariate Stable Distributions
• Opinion Fluctuations and Disagreement in Social Networks
• Broadcast and Gossip Stochastic Average Consensus Algorithms in Directed Topologies
• Consensus Problems in Networks of Agents With Switching Topology and Time-Delays

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