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

^*Corresponding author for this work

School of Political Science and Economics

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	413-417
Number of pages	5
Journal	European Journal of Operational Research
Volume	228
Issue number	2
DOIs	https://doi.org/10.1016/j.ejor.2013.01.052
Publication status	Published - 2013 Jul 16

Keywords

Bankruptcy rules
Decision support systems
Economics
Exclusion
Exemption
Game theory

ASJC Scopus subject areas

Computer Science(all)
Modelling and Simulation
Management Science and Operations Research
Information Systems and Management

Access to Document

10.1016/j.ejor.2013.01.052

Cite this

@article{c71d227de414445a8a4f268293826b94,

title = "Characterization of the Reverse Talmud bankruptcy rule by Exemption and Exclusion properties",

abstract = "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.",

keywords = "Bankruptcy rules, Decision support systems, Economics, Exclusion, Exemption, Game theory",

author = "{Van Den Brink}, Ren{\'e} and Yukihiko Funaki and {Van Der Laan}, Gerard",

year = "2013",

month = jul,

day = "16",

doi = "10.1016/j.ejor.2013.01.052",

language = "English",

volume = "228",

pages = "413--417",

journal = "European Journal of Operational Research",

issn = "0377-2217",

publisher = "Elsevier",

number = "2",

}

TY - JOUR

T1 - Characterization of the Reverse Talmud bankruptcy rule by Exemption and Exclusion properties

AU - Van Den Brink, René

AU - Funaki, Yukihiko

AU - Van Der Laan, Gerard

PY - 2013/7/16

Y1 - 2013/7/16

N2 - 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.

AB - 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.

KW - Bankruptcy rules

KW - Decision support systems

KW - Economics

KW - Exclusion

KW - Exemption

KW - Game theory

UR - http://www.scopus.com/inward/record.url?scp=84875437973&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84875437973&partnerID=8YFLogxK

U2 - 10.1016/j.ejor.2013.01.052

DO - 10.1016/j.ejor.2013.01.052

M3 - Article

AN - SCOPUS:84875437973

VL - 228

SP - 413

EP - 417

JO - European Journal of Operational Research

JF - European Journal of Operational Research

SN - 0377-2217

IS - 2

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this