Cantor Type Invariant Distributions in the Theory of Optimal Growth under Uncertainty

DOI10.1080/1023619042000193649zbMath1078.91014OpenAlexW2062503317MaRDI QIDQ4818293

Fabio Privileggi, Tapan Mitra

Publication date: 28 September 2004

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/1023619042000193649

zbMATH Keywords

invariant measureCantor functioniterated function systemsstochastic optimal growthno overlap propertyLipschitz policy

Mathematics Subject Classification ID

Stochastic models in economics (91B70) Economic growth models (91B62) Optimal stochastic control (93E20) Continuity and singularity of induced measures (60G30) Invariant measures for infinite-dimensional dissipative dynamical systems (37L40)

Related Items (8)

Fractal attractors in economic growth models with random pollution externalities ⋮ Fractal attractors and singular invariant measures in two-sector growth models with random factor shares ⋮ Three dimensional fractal attractors in a green transition economic growth model ⋮ A stochastic economic growth model with health capital and state-dependent probabilities ⋮ Cantor type attractors in stochastic growth models ⋮ Public debt dynamics under ambiguity by means of iterated function systems on density functions ⋮ Self-similar measures in multi-sector endogenous growth models ⋮ On Lipschitz continuity of the iterated function system in a stochastic optimal growth model

Cites Work

• Lipschitz continuous policy functions for strongly concave optimization problems
• On optimal growth under uncertainty
• The nature of the steady state in models of optimal growth under uncertainty
• Fractal steady states in stochastic optimal control models
• Characterization of optimal plans for stochastic dynamic programs
• Smoothness of the Policy Function in Discrete Time Economic Models
• The Once But Not Twice Differentiability of the Policy Function
• Analysis of a Numerical Dynamic Programming Algorithm Applied to Economic Models
• On a class of stable random dynamical systems: Theory and applications

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