Compromise solutions for bankruptcy situations with references

被引：28

作者：

Pulido, M. ^{[1
]}

Borm, P. ^{[2
]}

Hendrickx, R. ^{[2
]}

Llorca, N. ^{[3
,4
]}

Sanchez-Soriano, J. ^{[3
,4
]}

机构：

[1] Univ Murcia, Fac Math, Dept Stat & Operat Res, E-30100 Murcia, Spain

[2] Tilburg Univ, Ctr Econometr & Operat Res, NL-5000 LE Tilburg, Netherlands

[3] Miguel Hernandez Univ, Ctr Operat Res, Elche, Spain

[4] Miguel Hernandez Univ, Dept Math Stat & Comp Sci, Elche, Spain

来源：

ANNALS OF OPERATIONS RESEARCH | 2008年 / 158卷 / 01期

关键词：

Compromise Solution; Reference Vector; Proportional Rule; Bankruptcy Problem; Reference Amount;

D O I：

10.1007/s10479-007-0241-x

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

This paper deals with bankruptcy situations in which in addition to the claims, an exogenously given reference point for the allocation of the estate is present. We introduce and analyse two types of compromise solutions and show that they coincide with the tau value of two corresponding TU games. We apply our solutions to a real-life case of allocating university money to degree courses.

引用

页码：133 / 141

页数：9

共 6 条

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Sánchez-Soriano, J ;

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[4]

PULIDO M, 2001, THESIS U M HENANDEZ

[5]

Shapley L., INT J GAME THEORY, V1, P11, DOI DOI 10.1007/BF01753431

[6]

Tijs S. H., 1981, Game Theory and Mathematical Economics. Proceedings of the Seminar, P123

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