Skip to main content
SpringerLink
Log in

The two-stage constrained equal awards and losses rules for multi-issue allocation situations

  • Original Paper
  • Published:
TOP Aims and scope Submit manuscript

Abstract

This paper considers two-stage solutions for multi-issue allocation situations, which are extensions of bankruptcy problems. Characterizations are provided for the two-stage constrained equal awards and constrained equal losses rules, based on the properties of composition up and composition down.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Aumann R, Maschler M (1985) Game theoretic analysis of a bankruptcy problem from the Talmud. J Econ Theory 36:195–213

    Article  Google Scholar 

  • Borm P, Carpente L, Casas-Méndez B, Hendrickx R (2005) The constrained equal awards rule for bankruptcy problems. Ann Oper Res 137:211–227

    Article  Google Scholar 

  • Calleja P, Borm P, Hendrickx R (2005) Multi-issue allocation situations. Eur J Oper Res 164:730–747

    Article  Google Scholar 

  • Curiel I, Maschler M, Tijs S (1987) Bankruptcy games. Z Oper Res (Now: Math Methods Oper Res) 31:143–159

    Google Scholar 

  • Dagan N (1996) New characterizations of old bankruptcy rules. Soc Choice Welf 13:51–59

    Article  Google Scholar 

  • González-Alcón C, Borm P, Hendrickx R (2007) A composite run-to-the-bank rule for multi-issue allocation situations. Math Methods Oper Res 65:339–352

    Article  Google Scholar 

  • Herrero C, Villar A (1998) Preeminence and sustainability in bankruptcy problems. IVIE working papers AD number 17

  • Herrero C, Villar A (2001) The three musketeers: four classical solutions to bankruptcy problems. Math Soc Sci 42:307–328

    Article  Google Scholar 

  • Moulin H (2000) Priority rules and other asymmetric rationing methods. Econometrica 68:643–684

    Article  Google Scholar 

  • O’Neill B (1982) A problem of rights arbitration from the Talmud. Math Soc Sci 2:345–371

    Article  Google Scholar 

  • Thomson W (2001) On the axiomatic method and its recent applications to game theory and resource allocation. Soc Choice Welf 18:327–387

    Article  Google Scholar 

  • Young HP (1987) On dividing an amount according to individual claims or liabilities. Math Oper Res 12:398–414

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Departamento de Matemáticas, Facultad de Informática, Universidad de Coruña, 15071, La Coruña, Spain

    Silvia Lorenzo-Freire

  2. Departamento de Estadística e Investigación Operativa, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782, Santiago de Compostela, Spain

    Balbina Casas-Méndez

  3. Department of Econometrics and Operations Research, Faculty of Economics, Tilburg University, Tilburg, The Netherlands

    Ruud Hendrickx

Authors
  1. Silvia Lorenzo-Freire
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Balbina Casas-Méndez
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ruud Hendrickx
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Balbina Casas-Méndez.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lorenzo-Freire, S., Casas-Méndez, B. & Hendrickx, R. The two-stage constrained equal awards and losses rules for multi-issue allocation situations. TOP 18, 465–480 (2010). https://doi.org/10.1007/s11750-009-0073-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11750-009-0073-8

Keywords

Mathematics Subject Classification (2000)

Search

Navigation