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Cominimum additive operators
http://hdl.handle.net/10131/3087
http://hdl.handle.net/10131/3087e46225f8-c361-4100-b34b-de337ebc460c
名前 / ファイル | ライセンス | アクション |
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Ui2007b.pdf (160.5 kB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2007-10-19 | |||||
タイトル | ||||||
タイトル | Cominimum additive operators | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題 | Choquet integral, comonotonicity, non-additive probabilities, capacities, cooperative games | |||||
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 | journal article | |||||
著者 |
Kajii, Atsushi
× Kajii, Atsushi× Kojima, Hiroyuki× Ui, Takashi |
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著者(ヨミ) | ||||||
識別子Scheme | WEKO | |||||
識別子 | 10017 | |||||
姓名 | カジイ, アツシ | |||||
著者(ヨミ) | ||||||
識別子Scheme | WEKO | |||||
識別子 | 10018 | |||||
姓名 | コジマ, ヒロユキ | |||||
著者(ヨミ) | ||||||
識別子Scheme | WEKO | |||||
識別子 | 163 | |||||
識別子Scheme | e-Rad | |||||
識別子URI | https://kaken.nii.ac.jp/ja/search/?qm=60312815 | |||||
識別子 | 60312815 | |||||
姓名 | ウイ, タカシ | |||||
著者別名 | ||||||
識別子Scheme | WEKO | |||||
識別子 | 163 | |||||
識別子Scheme | e-Rad | |||||
識別子URI | https://kaken.nii.ac.jp/ja/search/?qm=60312815 | |||||
識別子 | 60312815 | |||||
姓名 | 宇井, 貴志 | |||||
著者所属 | ||||||
Yokohama Natl Univ, Fac Econ, Hodogaya Ku, Yokohama, Kanagawa 2408501, Japan = 横浜国立大学経済学部 | ||||||
著者所属 | ||||||
Kyoto Univ, Inst Econ Res, Kyoto, Japan | ||||||
著者所属 | ||||||
Teikyo Univ, Dept Econ, Tokyo, Japan | ||||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | This paper proposes a class of weak additivity concepts for an operator on the set of real valued functions on a finite state space Omega, which include additivity and comonotonic additivity as extreme cases. Let E subset of 2(Omega) be a collection of subsets of Omega. Two functions x and y on Omega are E-cominimum if, for each E epsilon E, the set of minimizers of x restricted on E and that of y have a common element. An operator I on the set of functions on Omega is E-cominimum additive if I(x + y) = I(x) + I(y) whenever x and y are E-cominimum. The main result characterizes homogeneous S-cominimum additive operators in terms of the Choquet integrals and the corresponding non-additive signed measures. As applications, this paper gives an alternative proof for the characterization of the E-capacity expected utility model of Eichberger and Kelsey [Eichberger, J., Kelsey, D., 1999. E-capacities and the Ellsberg paradox. Theory and Decision 46, 107-140] and that of the multiperiod decision model of Gilboa [Gilboa, I., 1989. Expectation and variation in multiperiod decisions. Econometrica 57, 1153-1169]. (c) 2006 Elsevier B.V. All rights reserved. | |||||
書誌情報 |
Journal of Mathematical Economics 巻 43, 号 2, p. 218-230, 発行日 2007-02 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 03044068 | |||||
DOI | ||||||
関連タイプ | isVersionOf | |||||
識別子タイプ | DOI | |||||
関連識別子 | info:doi/10.1016/j.jmateco.2006.07.007 | |||||
権利 | ||||||
権利情報 | NOTICE: This is the author's version of a work accepted for publication by Elsevier. Changes resulting from the publishing process, including peer review, editing, corrections, structual formatting and other quality control mechanisms, may not be reflected in this document. Changes may have been to this work since it was submitted for publication. | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
著者版フラグ | ||||||
出版タイプ | AM | |||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||
出版者 | ||||||
出版者 | Elsevier Science SA | |||||
資源タイプ | ||||||
内容記述タイプ | Other | |||||
内容記述 | postprint |