Asymptotics of a matrix valued Markov chain arising in sociology.

DOI10.1016/S0304-4149(02)00231-4zbMath1075.60546OpenAlexW2064457180MaRDI QIDQ2574554

Phillip Bonacich, Thomas M. Liggett

Publication date: 29 November 2005

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0304-4149(02)00231-4

zbMATH Keywords

asymptoticsMarkov chainreciprocityexchange networkstable constellations

Mathematics Subject Classification ID

Social networks; opinion dynamics (91D30) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Models of societies, social and urban evolution (91D10)

Related Items (7)

Interacting nonlinear reinforced stochastic processes: Synchronization or non-synchronization ⋮ A hybrid network model to extract key criteria and its application for brand equity evaluation ⋮ Nonconvergence to saddle boundary points under perturbed reinforcement learning ⋮ Network formation by reinforcement learning: the long and medium run ⋮ An infinite stochastic model of social network formation ⋮ Learning to signal: Analysis of a micro-level reinforcement model ⋮ Time to absorption in discounted reinforcement models.

Cites Work

• Stationary measures for randomly chosen maps
• An algebraic theory of strong power in negatively connected exchange networks
• A dynamic model of social network formation
• Unnamed Item
• Unnamed Item

This page was built for publication: Asymptotics of a matrix valued Markov chain arising in sociology.