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https://ah.lib.nccu.edu.tw/handle/140.119/60920
題名: | Construction of simply connected open sets by positively homogeneous functions and its importance in the Marshallian consumer surplus analysis | 作者: | Wang,Shu G. | 貢獻者: | 政大經濟系 | 關鍵詞: | Konsumtheorie; Consumer theory; Statistische Methodenlehre; Statistics; Theorie; Theory | 日期: | Sep-1994 | 上傳時間: | 16-Sep-2013 | 摘要: | Two conditions assuring path independency in any line integral are that the integration domain be a simply connected open set and that the integrand have a symmetric Jacobain matrix in that domain. This paper provides a rigorous account of how a path-dependent line integral can retain path independency in a subset of the original domain. The implicit function theorem, intuitively, proves to be a key avenues toward the establishment of our main result when a positively homogeneous function defines the subset. The Poincare` lemma is used to derive a general proof. An application is made to the consumer surplus analysis in which such a technical concern is commonly ignored. | 關聯: | 經濟論文, 22(2), 83-106 | 資料類型: | article |
Appears in Collections: | 期刊論文 |
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