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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Inada conditions ： ウィキペディア英語版 Inada conditions In macroeconomics, the Inada conditions, named after Japanese economist Ken-Ichi Inada, are assumptions about the shape of a production function that guarantee the stability of an economic growth path in a neoclassical growth model. The conditions as such had been introduced by Hirofumi Uzawa. The six conditions for a given function $f(x)$ are: #the value of the function $f(x)$ at 0 is 0: $f(0)=0$ #the function is continuously differentiable, #the function is strictly increasing in $x\_$: $\backslash partial\; f(x)/\backslash partial\; x\_>0$, #the second derivative of the function is negative in $x\_$ (thus the function is concave): , #the limit of the first derivative is positive infinity as $x\_$ approaches 0: $\backslash lim\_\; \backslash partial\; f(x)/\backslash partial\; x\_i\; =+\backslash infty$, #the limit of the first derivative is zero as $x\_$ approaches positive infinity: $\backslash lim\_\; \backslash partial\; f(x)/\backslash partial\; x\_i\; =0$ It can be shown that the Inada conditions imply that the elasticity of substitution is asymptotically equal to one (although the production function is ''not'' necessarily asymptotically Cobb–Douglas). In stochastic neoclassical growth model, if the production function does not satisfy the Inada condition at zero, any feasible path converges to zero with probability one provided that the shocks are sufficiently volatile. == References == 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Inada conditions」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.