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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 expenditure function ： ウィキペディア英語版 expenditure function In microeconomics, the expenditure function gives the minimum amount of money an individual needs to spend to achieve some level of utility, given a utility function and the prices of the available goods. Formally, if there is a utility function $u$ that describes preferences over ''n '' commodities, the expenditure function :$e(p,\; u^$ *) : \textbf R^n_+ \times \textbf R \rightarrow \textbf R says what amount of money is needed to achieve a utility $u^$ * if the ''n'' prices are given by the price vector $p$. This function is defined by :$e(p,\; u^$ *) = \min_ p \cdot x where :$\backslash geq(u^$ *) = \ is the set of all bundles that give utility at least as good as $u^$ *. Expressed equivalently, the individual minimizes expenditure $x\_1p\_1+\backslash dots\; +x\_n\; p\_n$ subject to the minimal utility constraint that $u(x\_1,\; \backslash dots\; ,\; x\_n)\; \backslash ge\; u^$ *, giving optimal quantities to consume of the various goods as $x\_1^$ *, \dots x_n^ * as functions of $u^$ * and the prices; then the expenditure function is :$e(p\_1,\; \backslash dots\; ,\; p\_n\; ;\; u^$ *)=p_1 x_1^ *+\dots + p_n x_n^ *. == See also == * Expenditure minimization problem * Hicksian demand function * Slutsky equation * Utility maximization problem 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「expenditure 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.