Integer solutions to bankruptcy problems with non-integer claims

被引:0
作者
Vito Fragnelli
Stefano Gagliardo
Fabio Gastaldi
机构
[1] Università degli Studi del Piemonte Orientale,Dipartimento di Scienze e Innovazione Tecnologica
[2] Consiglio Nazionale delle Ricerche,Istituto di Matematica Applicata e Tecnologie dell’Informazione
来源
TOP | 2014年 / 22卷
关键词
Bankruptcy problems; Integer solutions; 91A12; 91B32;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we consider a bankruptcy problem with the additional constraint that the estate has to be assigned in integer unities; differently from the approaches by other authors, we allow for non-integer claims. This situation poses new questions on the existence and the uniqueness of the solution. We propose a new solution method that leads to the “box solution”, for which uniqueness may be guaranteed introducing a ranking on the claimants. Some examples complete the paper.
引用
收藏
页码:892 / 933
页数:41
相关论文
共 49 条
[1]  
Balinski ML(1977)On Huntington methods of apportionment SIAM J Appl Math 33 607-618
[2]  
Young HP(1996)The uneasy case for the priority of secured claims in bankruptcy Yale Law J 105 857-934
[3]  
Bebchuck LA(2008)A flow approach to bankruptcy problems AUCO Econ Czech Rev 2 146-153
[4]  
Fried JM(2011)A bonus-malus approach to project management Cent Eur J Oper Res 19 495-512
[5]  
Branzei R(2005)Multi-issue allocation situations Eur J Oper Res 164 730-747
[6]  
Ferrari G(2008)How to divide a cake when people have different metabolism? Math Meth Oper Res 78 361-371
[7]  
Fragnelli V(1987)Bankruptcy games Math Methods Oper Res 31 A143-A159
[8]  
Tijs SH(2008)Up methods in the allocation of indivisibilities when preferences are single-peaked TOP 16 272-283
[9]  
Branzei R(2008)Balanced allocation methods for claims problems with indivisibilities Soc Choice Welf 30 603-617
[10]  
Ferrari G(2011)Allocation problems with indivisibilities when preferences are single-peaked SERIEs: J Span Econ Assoc 2 453-467