Please use this identifier to cite or link to this item: http://hdl.handle.net/20.500.12216/251
Title: Fractal attractors in economic growth models with random pollution externalities
Authors: La Torre, D. 
Marsiglio, S. 
Privileggi, F. 
Issue Date: May-2018
Publisher: American Institute of Physics Inc.
Journal: Chaos 
Abstract: We analyze a discrete time two-sector economic growth model where the production technologies in the final and human capital sectors are affected by random shocks both directly (via productivity and factor shares) and indirectly (via a pollution externality). We determine the optimal dynamics in the decentralized economy and show how these dynamics can be described in terms of a two-dimensional affine iterated function system with probability. This allows us to identify a suitable parameter configuration capable of generating exactly the classical Barnsley's fern as the attractor of the log-linearized optimal dynamical system. © 2018 Author(s).
URI: http://hdl.handle.net/20.500.12216/251
DOI: 10.1063/1.5023782
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