On limits of powers of certain absolutely row-stochastic matrices

DOI10.1016/j.laa.2016.06.035zbMath1346.15031OpenAlexW2473654379MaRDI QIDQ307796

Steffen Eger

Publication date: 5 September 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2016.06.035

zbMATH Keywords

game theorygraph theoryMarkov chainopinion dynamicsPerron-Frobeniusrow-stochastic matrixstructural balance

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Positive matrices and their generalizations; cones of matrices (15B48) Stochastic matrices (15B51) Games on graphs (graph-theoretic aspects) (05C57) Random walks on graphs (05C81)

Cites Work

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• Opinion dynamics and wisdom under out-group discrimination
• Opinion dynamics and learning in social networks
• On Perron-Frobenius property of matrices having some negative entries
• Stability analysis of diagonally equipotent matrices
• Predictable Dynamics of Opinion Forming for Networks With Antagonistic Interactions
• On general matrices having the Perron-Frobenius Property
• Mv-matrices: a generalization of M-matrices based on eventually nonnegative matrices
• Reaching a Consensus
• Consensus Problems on Networks With Antagonistic Interactions

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