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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 Hotelling's lemma ： ウィキペディア英語版 Hotelling's lemma Hotelling's lemma is a result in microeconomics that relates the supply of a good to the profit of the good's producer. It was first shown by Harold Hotelling, and is widely used in the theory of the firm. The lemma is very simple, and can be stated: ''Let $y(p)$ be a firm's net supply function in terms of a certain good's price ($p$). Then:'' :$y(p)=\; \backslash frac$ ''for $\backslash pi$ the profit function of the firm in terms of the good's price, assuming that $p\; >\; 0$ and that derivative exists.'' The proof of the theorem stems from the fact that for a profit-maximizing firm, the maximum of the firm's profit at some output $y^$ *(p) is given by the minimum of $\backslash pi\; (p^$ *) - p^ * y^ *(p) at some price, $p^$ *, namely where $\backslash frac\; -\; y\; =\; 0$ holds. Thus, $y(p)=\; \backslash frac$; QED. The proof is also a corollary of the envelope theorem. ==See also== *Hotelling's law *Hotelling's rule *Supply and demand *Shephard's lemma 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「Hotelling's lemma」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.