کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4615997 1339334 2014 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Solutions to homogeneous Monge–Ampère equations of homothetic functions and their applications to production models in economics
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Solutions to homogeneous Monge–Ampère equations of homothetic functions and their applications to production models in economics
چکیده انگلیسی

In economics, homothetic functions are production functions whose marginal technical rate of substitution is homogeneous of degree zero. Mathematically, a homothetic function is a function of the form f(x)=F(h(x1,…,xn))f(x)=F(h(x1,…,xn)), where F is a monotonically increasing function and h   is a homogeneous function of any degree d≠0d≠0. In this paper, we classify homothetic functions satisfying the homogeneous Monge–Ampère equation. Several applications to production models in economics will also be given.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 411, Issue 1, 1 March 2014, Pages 223–229
نویسندگان
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