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Brouwerの不動点定理によるNTUコアの存在証明
https://doi.org/10.14988/pa.2017.0000012361
https://doi.org/10.14988/pa.2017.0000012361e74b7c59-ed32-4fd9-8a1a-b4576f77b918
名前 / ファイル | ライセンス | アクション |
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034060040004.pdf (341.0 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||||||||
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公開日 | 2011-03-31 | |||||||||||
タイトル | ||||||||||||
言語 | ja | |||||||||||
タイトル | Brouwerの不動点定理によるNTUコアの存在証明 | |||||||||||
タイトル | ||||||||||||
言語 | ja-Kana | |||||||||||
タイトル | Brouwer ノ フドウテン テイリ ニヨル NTU コア ノ ソンザイ ショウメイ | |||||||||||
タイトル | ||||||||||||
言語 | en | |||||||||||
タイトル | A proof of the existence of NTU core by Brouwer's fixed point theorem | |||||||||||
言語 | ||||||||||||
言語 | jpn | |||||||||||
キーワード | ||||||||||||
主題 | Brouwerの不動点定理, NTUゲーム, コア | |||||||||||
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 | |||||||||||
ID登録 | ||||||||||||
ID登録 | 10.14988/pa.2017.0000012361 | |||||||||||
ID登録タイプ | JaLC | |||||||||||
アクセス権 | ||||||||||||
アクセス権 | open access | |||||||||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||||||
著者 |
田中, 靖人
× 田中, 靖人
WEKO
12498
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著者所属 | ||||||||||||
ja | ||||||||||||
同志社大学経済学部教授 | ||||||||||||
著者所属(英) | ||||||||||||
en | ||||||||||||
Doshisha University | ||||||||||||
所属機関識別子種別 | ||||||||||||
値 | kakenhi | |||||||||||
所属機関識別子 | ||||||||||||
値 | 34310 | |||||||||||
抄録 | ||||||||||||
内容記述タイプ | Abstract | |||||||||||
内容記述 | 最初Scarf(1967)によって与えられたNTU(譲渡不可能効用)ゲームにおけるコアの存在定理(「平衡ゲームにコアが存在する」という定理)は,Shapley(1973)やShapley and Vohra(1991)による証明のように通常はKakutaniの不動点定理を用いて証明されているが,本稿ではZhou(1994)による二段階の証明を統一する形でKakutaniの不動点定理よりも基本的なBrouwerの不動点定理を用いた証明について解説する。 | |||||||||||
言語 | ja | |||||||||||
抄録 | ||||||||||||
内容記述タイプ | Abstract | |||||||||||
内容記述 | The core existence theorem of an NTU (non-transferable utility) game that there exists a core in a balanced game, which was first presented by Scarf (Econometrica, 1967), is usually proved by means of proofs based on Kakutani's fixed point theorem such as Shapley (Mathematical Programming edited by Hu et al., Academic Press, 1973) and Shapley and Vohra (Economic Theory, 1991). On the other hand, in this paper, we present a proof of this theorem by means of Brouwer's fixed point theorem (which is more elementary than Kakutani's theorem) by unifying the two-stage proof by Zhou (Economic Theory, 1994). | |||||||||||
言語 | en | |||||||||||
内容記述 | ||||||||||||
内容記述タイプ | Other | |||||||||||
内容記述 | 論説(Article) | |||||||||||
言語 | ja | |||||||||||
書誌情報 |
ja : 經濟學論叢 en : Keizaigaku-Ronso (The Doshisha University economic review) 巻 60, 号 4, p. 469-480, 発行日 2009-03-20 |
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出版者 | ||||||||||||
言語 | ja | |||||||||||
出版者 | 同志社大學經濟學會 | |||||||||||
出版者(英) | ||||||||||||
言語 | en | |||||||||||
出版者 | The Doshisha Economic Association | |||||||||||
ISSN | ||||||||||||
収録物識別子タイプ | PISSN | |||||||||||
収録物識別子 | 03873021 | |||||||||||
書誌レコードID | ||||||||||||
収録物識別子タイプ | NCID | |||||||||||
収録物識別子 | AN00070477 | |||||||||||
権利者情報 | ||||||||||||
権利者名 | 同志社大學經濟學會 | |||||||||||
言語 | ja | |||||||||||
権利者名 | The Doshisha Economic Association | |||||||||||
言語 | en | |||||||||||
関連サイト | ||||||||||||
関連タイプ | isFormatOf | |||||||||||
識別子タイプ | URI | |||||||||||
関連識別子 | https://doors.doshisha.ac.jp/opac/opac_link/bibid/SB00957563/?lang=0 | |||||||||||
言語 | ja | |||||||||||
関連名称 | 掲載刊行物所蔵情報へのリンク / Link to Contents | |||||||||||
フォーマット | ||||||||||||
内容記述タイプ | Other | |||||||||||
内容記述 | application/pdf | |||||||||||
出版タイプ | ||||||||||||
出版タイプ | VoR | |||||||||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||||
日本十進分類法 | ||||||||||||
主題 | 331.19 |