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Showing 1 to 4 of 4 for “"Hegselmann-Krause"”.
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Analyzing the opinion dynamics models discrete & continuous
… the agent-based bounded confidence model of the Hegselmann-Krause where multiple agents want to agree on a common scalar, or they can be divided in several subgroups, with each subgroup having its own agreement value. In this model, we restrict ourselves to the case when all the agents have the …
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Probabilistic techniques for large-scale coordination and clustering
… to analyze the dynamics of blockchains, the Hegselmann--Krause model, and a stochastic dynamic clustering model for data science. For blockchains, we show that the $t \to \infty$ limit is crucial for understanding how and when consensus occurs. Specifically, we use a randomly delayed …
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Product of random stochastic matrices and distributed averaging
… of the developed methods to the study of Hegselmann-Krause model will be considered. Using the developed results, an upper bound $O(m^4)$ will be established for the Hegselmann-Krause dynamics, which is an improvement to the previously known bound $O(m^5)$. As a final application for the …
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Potential-based analysis of social, communication, and distributed networks
… class of distributed averaging dynamics known as Hegselmann-Krause opinion dynamics. Modeling such dynamics as a non-cooperative game problem, we elaborate on some of the evolutionary properties of such dynamics. In particular, we answer an open question related to the termination time of such …