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The Homotopy Continuation Method and the Walrasian General Equilibrium Theory
http://hdl.handle.net/10112/00020339
http://hdl.handle.net/10112/000203390974832f-2887-4511-937e-76ff27b28999
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
KU-1100-19971205-04.pdf (1.4 MB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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| 公開日 | 2020-07-09 | |||||
| タイトル | ||||||
| タイトル | The Homotopy Continuation Method and the Walrasian General Equilibrium Theory | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 資源タイプ | ||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
| 資源タイプ | departmental bulletin paper | |||||
| その他のタイトル | ||||||
| その他のタイトル | The Homotopy Continuation Method and the Walrasian General Equilibrium Theory | |||||
| 著者 |
Shiomura, Takashi
× Shiomura, Takashi |
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| 著者別名 | ||||||
| 識別子Scheme | WEKO | |||||
| 識別子 | 40200 | |||||
| 姓名 | 塩村, 尊 | |||||
| 概要 | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | The homotopy continuation method becomes a. powerful tool for comparative statics in the large. It is also, by its nature, to be used for showing the existence of zeroes of a map. In this paper, we first present some existence theorems concerning set-valued maps. These are obtained from a fundamental theorem on a homotopy continuation method and theorems on continuos selections. We then apply them to the Walrasian general equilibrium models and show the existence of equilibria. Subsequently, we consider a regular economy, and get some insights into the number of equilibria due to the homotopy invariance theorem and the norm-coerciveness theorem. Although these problems have been investigated by many economists, the homotopy continuation method clarifies in a clear and systematic manner why our results have been obtained. | |||||
| 書誌情報 |
情報研究 : 関西大学総合情報学部紀要 巻 8, p. 61-77, 発行日 1997-12-05 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 1341156X | |||||
| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AN10484636 | |||||
| 著者版フラグ | ||||||
| 出版タイプ | VoR | |||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
| 出版者 | ||||||
| 出版者 | 関西大学 | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | 関西大学 | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Kansai University | |||||
