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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 Marshallian demand function ： ウィキペディア英語版 Marshallian demand function In microeconomics, a consumer's Marshallian demand function (named after Alfred Marshall) specifies what the consumer would buy in each price and income or wealth situation, assuming it perfectly solves the utility maximization problem. Marshallian demand is sometimes called Walrasian demand (named after Léon Walras) or uncompensated demand function instead, because the original Marshallian analysis ignored wealth effects. According to the utility maximization problem, there are ''L'' commodities with price vector ''p'' and choosable quantity vector ''x''. The consumer has income ''I'', and hence a set of affordable packages :$B(p,\; I)\; =\; \backslash ,$ where $\backslash langle\; p,\; x\; \backslash rangle$ is the inner product of the price and quantity vectors. The consumer has a utility function :$u\; :\; \backslash textbf\; R^L\_+\; \backslash rightarrow\; \backslash textbf\; R.$ The consumer's Marshallian demand correspondence is defined to be :$x^$ *(p, I) = \operatorname_ u(x). If there is a unique utility maximizing package for each price and income situation, then it is called the Marshallian demand function. See the utility maximization problem entry for a discussion of this definition. ==Example== If there are two commodities, and the consumer has the utility function :$U(x\_1,x\_2)\; =\; x\_1^x\_2^$ (Cobb–Douglas form), the constrained optimization leads to the Marshallian demand function :$x^$ *(p_1,p_2,I) = \left(\frac, \frac\right). In a more general case, i.e. $U(x\_1,x\_2)\; =\; \backslash left(\backslash frac\; +\; \backslash frac\; \backslash right)^\}$ (CES utility function), we have: :$x^$ *(p_1,p_2,I) = \left(\frac + p_2^}, \frac + p_2^}\right), \quad \text \quad \epsilon = \frac. 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「Marshallian demand function」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.