Characterization of the Reverse Talmud bankruptcy rule by Exemption and Exclusion properties

René Van Den Brink; Yukihiko Funaki; Gerard Van Der Laan

doi:10.1016/j.ejor.2013.01.052

Characterization of the Reverse Talmud bankruptcy rule by Exemption and Exclusion properties

René Van Den Brink^*, Yukihiko Funaki, Gerard Van Der Laan

^*この研究の対応する著者

政治経済学部

研究成果: Article › 査読

12 被引用数 (Scopus)

抄録

The Reverse Talmud rule for bankruptcy problems applies the Constrained Equal Awards rule (CEA rule) for 'large' amounts of the estate, while it applies the Constrained Equal Losses rule (CEL rule) for 'small' amounts of the estate. The CEA rule, respectively CEL rule, can be axiomatized using the Exemption and Exclusion properties respectively. There is no rule that satisfies both these two properties. In this paper we axiomatize the Reverse Talmud rule by using compatible weaker versions of the Exemption and Exclusion properties.

本文言語	English
ページ（範囲）	413-417
ページ数	5
ジャーナル	European Journal of Operational Research
巻	228
号	2
DOI	https://doi.org/10.1016/j.ejor.2013.01.052
出版ステータス	Published - 2013 7月 16

ASJC Scopus subject areas

コンピュータサイエンス一般
モデリングとシミュレーション
経営科学およびオペレーションズリサーチ
情報システムおよび情報管理

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10.1016/j.ejor.2013.01.052

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KW - Exemption

KW - Game theory

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Characterization of the Reverse Talmud bankruptcy rule by Exemption and Exclusion properties

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