書誌事項
- タイトル別名
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- Nonlinear Generalizations of Tucker's Theorem on Inequality Systems
- フトウシキ タイケイ ニ オケル Tucker ノ テイリ ノ ヒセンケイ エ ノ イッパンカ
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説明
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.
収録刊行物
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- 岡山大学経済学会雑誌
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岡山大学経済学会雑誌 31 (3), 163-171, 1999-12-10
岡山大学経済学会
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詳細情報 詳細情報について
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- CRID
- 1390290699525537664
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- NII論文ID
- 120002695983
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- NII書誌ID
- AN00032897
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- ISSN
- 03863069
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- NDL書誌ID
- 4938228
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- 本文言語コード
- ja
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- データソース種別
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- JaLC
- IRDB
- NDL
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