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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 1994-09
上傳時間 16-Sep-2013 16:05:50 (UTC+8)
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
dc.contributor 政大經濟系en_US
dc.creator (作者) Wang,Shu G.en_US
dc.date (日期) 1994-09en_US
dc.date.accessioned 16-Sep-2013 16:05:50 (UTC+8)-
dc.date.available 16-Sep-2013 16:05:50 (UTC+8)-
dc.date.issued (上傳時間) 16-Sep-2013 16:05:50 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/60920-
dc.description.abstract (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.en_US
dc.language.iso en_US-
dc.relation (關聯) 經濟論文, 22(2), 83-106en_US
dc.subject (關鍵詞) Konsumtheorie; Consumer theory; Statistische Methodenlehre; Statistics; Theorie; Theory-
dc.title (題名) Construction of simply connected open sets by positively homogeneous functions and its importance in the Marshallian consumer surplus analysisen_US
dc.type (資料類型) articleen