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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| DP1077.pdf | 381.72 kB | Adobe PDF | 見る/開く |
| タイトル: | Choquet Integrals and Belief Functions |
| 著者: | Asano, Takao Kojima, Hiroyuki |
| キーワード: | C71 D81 D90 Möbius inversions Invariant weights Simple-completeness |
| 発行日: | Mar-2022 |
| 出版者: | Institute of Economic Research, Kyoto University |
| 誌名: | KIER Discussion Paper |
| 巻: | 1077 |
| 開始ページ: | 1 |
| 終了ページ: | 24 |
| 抄録: | This paper investigates characterizations of a class of belief functions. Our main contributions are threefold. First, using the notion of invariant weights, we characterize the Choquet integral with respect to belief functions along the lines of Schmeidler (1986). Second, we directly derive a class of belief functions on a state space and a collection of events that determines whether Möbius inversions are strictly positive or zero. Third, we show that the derived collection is simple-complete. |
| 記述: | Parts of this paper were previously circulated under the titles “An Axiomatization of Belief Functions” and “A Characterization of Belief Functions with Endogenous Knowledge Space.” |
| URI: | http://hdl.handle.net/2433/269670 |
| 関連リンク: | https://www.kier.kyoto-u.ac.jp/publication/?cat=en |
| 出現コレクション: | KIER Discussion Paper (英文版) |
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