ID | 41503 |
JaLCDOI | |
Sort Key | 7
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タイトル(別表記) | Nonlinear Generalizations of Tucker's Theorem on Inequality Systems
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フルテキストURL | |
著者 |
藤本 喬雄
石山 健一
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抄録 | This note is to prove Tucker's theorem on linear inequalities based on the proof method of minimax theorems which uses Kakutani's fixed point theorem. One device is necessary to convert the minimax theorems to Tucker's formulation. This is a slight restriction on the image sets when creating a set-valued map. We also present nonlinear generalizations of Tucker's theorem employing the same method. All we need is that the set of variable values for which an objective function attains its maximum is convex. This objective function is a convex combination of functions. We also present a proof of the fact that a local characterization of inequality systems, when a given mapping is differentiable, can be made global provided the mapping is concave.
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備考 | 研究ノート (Note)
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出版物タイトル |
岡山大学経済学会雑誌
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発行日 | 1999-12-10
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巻 | 31巻
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号 | 3号
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出版者 | 岡山大学経済学会
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出版者(別表記) | The Economic Association of Okayama University
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開始ページ | 163
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終了ページ | 171
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ISSN | 0386-3069
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NCID | AN00032897
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資料タイプ |
学術雑誌論文
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OAI-PMH Set |
岡山大学
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言語 |
日本語
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論文のバージョン | publisher
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NAID | |
Eprints Journal Name | oer
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