SpringerLink
Log in

Compromise solutions for bankruptcy situations with references

  • Published:
Annals of Operations Research Aims and scope Submit manuscript

Abstract

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 τ value of two corresponding TU games. We apply our solutions to a real-life case of allocating university money to degree courses.

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

  • Driessen, T., & Tijs, S. (1985). The τ-value, the core and semi-convex games. International Journal of Game Theory, 14, 229–247.

    Article  Google Scholar 

  • O’Neill, B. (1982). A problem of rights arbitration from the Talmud. Mathematical Social Sciences, 2, 345–371.

    Article  Google Scholar 

  • Pulido, M. (2001). Estructuras de coaliciones y aplicaciones de la teoría de juegos. Tesis Doctoral, Universidad Miguel Hernández, Elche, Spain.

  • Pulido, M., Sánchez-Soriano, J., & Llorca, N. (2002). Game theory techniques for university management: an extended bankruptcy model. Annals of Operations Research, 109, 129–142.

    Article  Google Scholar 

  • Shapley, L. (1971). Cores of convex games. International Journal of Game Theory, 1, 11–26.

    Article  Google Scholar 

  • Tijs, S. (1981). Bounds for the core and τ-value. In O. Moeschlin, & D. Pallaschke (Eds.) Game theory and mathematical economics (pp. 123–132). North-Holland, Amsterdam.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Statistics and Operations Research, Faculty of Mathematics, University of Murcia, Campus de Espinardo, 30100, Murcia, Spain

    M. Pulido

  2. Center and Department of Econometrics and Operations Research, Tilburg University, Tilburg, The Netherlands

    P. Borm & R. Hendrickx

  3. Operations Research Center and Department of Statistics, Mathematics and Computer Science, Miguel Hernández University, Elche, Spain

    N. Llorca & J. Sánchez-Soriano

Authors
  1. M. Pulido
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. P. Borm
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. R. Hendrickx
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. N. Llorca
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. J. Sánchez-Soriano
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. Pulido.

Additional information

Research supported by Generalitat Valenciana, through ACOMP06/040, ACOMP07/136 and GV05/189, and by the Government of Spain and FEDER fund under project MTM2005-09184-C02-02. M. Pulido’s research is partially supported by Fundación Séneca of Comunidad Autónoma de la Región de Murcia, through 02911/PI/05. Ruud Hendrickx author acknowledges financial support from the Netherlands Organisation for Scientific Research (NWO).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pulido, M., Borm, P., Hendrickx, R. et al. Compromise solutions for bankruptcy situations with references. Ann Oper Res 158, 133–141 (2008). https://doi.org/10.1007/s10479-007-0241-x

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10479-007-0241-x

Keywords

Search

Navigation