کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
967025 1479282 2007 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stochastic optimal growth with bounded or unbounded utility and with bounded or unbounded shocks
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Stochastic optimal growth with bounded or unbounded utility and with bounded or unbounded shocks
چکیده انگلیسی
This paper studies a one-sector stochastic optimal growth model with i.i.d. productivity shocks in which utility is allowed to be bounded or unbounded, the shocks are allowed to be bounded or unbounded, and the production function is not required to satisfy the Inada conditions at zero and infinity. Our main results are three-fold. First, we confirm the Euler equation as well as the existence of a continuous optimal policy function under a minimal set of assumptions. Second, we establish the existence of an invariant distribution under quite general assumptions. Third, we show that the density of optimal output converges to a unique invariant density independently of initial output under the assumption that the shock distribution has a density whose support is an interval, bounded or unbounded. In addition, we provide existence and stability results for general one-dimensional Markov processes.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Economics - Volume 43, Issues 3–4, April 2007, Pages 477-500
نویسندگان
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