Resource dependent branching processes and the envelope of societies

DOI10.1214/13-AAP998zbMath1308.60103arXiv1212.0693WikidataQ56805414 ScholiaQ56805414MaRDI QIDQ2258534

Mitia Duerinckx, F. Thomas Bruss

Publication date: 26 February 2015

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

Full work available at URL: https://arxiv.org/abs/1212.0693

zbMATH Keywords

order statisticscomplete convergenceBorel-Cantelli lemmastopping timescommunismLorenz curveGalton-Watson processesalmost-sure convergencecapitalismcontrolled branching processesextinction criterialaissez-faire societymercantilismsociety structures

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Applications of branching processes (60J85) Stopping times; optimal stopping problems; gambling theory (60G40) Models of societies, social and urban evolution (91D10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (5)

The Theorem of Envelopment and Directives of Control in Resource Dependent Branching Processes ⋮ Galton--Watson Processes and Their Role as Building Blocks for Branching Processes ⋮ Limits of any society ⋮ The BRS-inequality and its applications ⋮ A fluid approach to total-progeny-dependent birth-and-death processes

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