کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
966662 | 1479270 | 2014 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Essential properties of Lp,q spaces (the amalgams) and the implicit function theorem for equilibrium analysis in continuous time
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Essential properties of Lp,q spaces (the amalgams) and the implicit function theorem for equilibrium analysis in continuous time Essential properties of Lp,q spaces (the amalgams) and the implicit function theorem for equilibrium analysis in continuous time](/preview/png/966662.png)
چکیده انگلیسی
To extend the analysis of continuous-time general-equilibrium macro models we study 2 parameter variants Lp,q of the Lebesgue spaces, thus gaining separate control on the asymptotic behaviour (p) and the local behaviour (q): they behave w.r.t. p like the spaces âp and w.r.t. q like the spaces Lq on a probability space. Such spaces might naturally contain equilibrium variables (paths) as well as time-dependent policies of a macro model. Convolution behaves very well on those spaces, which can be used as a basis for the classical “comparative statics” (see e.g. Mertens and Rubinchik (2011)). Finally, we generalise the classical implicit function theorem (ift) for a family of Banach spaces, with the resulting implicit function having derivatives that are locally Lipschitz to very strong operator norms.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Economics - Volume 50, January 2014, Pages 187-196
Journal: Journal of Mathematical Economics - Volume 50, January 2014, Pages 187-196
نویسندگان
Jean-François Mertens, Anna Rubinchik,