A stochastic economic growth model with health capital and state-dependent probabilities

Davide La Torre, Simone Marsiglio, Franklin Mendivil and Fabio Privileggi

Chaos, Solitons & Fractals, 2019, vol. 129, issue C, 81-93

Abstract: We analyze a simple stochastic model of economic growth in which physical and health capital accumulation jointly contribute to determine long run economic growth. Health capital is subject to random shocks via the effects of behavioral changes: unpredictable changes in individuals’ attitude toward healthy behaviors may reduce the effectiveness of health services provision; this in turn, by reducing the production of new health capital, lowers economic production activities negatively affecting economic growth. Unlike the extant literature, we assume that the probability with which such random shocks occur is not constant but state-dependent. Specifically, the probability that behavioral changes will negatively impact on health capital and economic growth depends on the level of economic development, proxied by the relative abundance of health capital with respect to physical capital. We show that our model’s dynamics can be converted into an iterated function system with state-dependent probabilities which converges to an invariant self-similar measure supported on a (possibly fractal) compact attractor. We develop a numerical method to approximate the invariant distribution to illustrate its features in specific model’s parametrizations, exemplifying thus the effects of state-dependent probabilities on the model’s steady state.

Keywords: Health capital; Iterated function systems; State-dependent probabilities; Foias operator (search for similar items in EconPapers)
JEL-codes: C61 C63 O40 (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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Working Paper: A Stochastic Economic Growth Model with Health Capital and State-Dependent Probabilities (2019)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:129:y:2019:i:c:p:81-93

DOI: 10.1016/j.chaos.2019.08.010

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