Annals of Operations Research

, Volume 158, Issue 1, pp 133–141 | Cite as

Compromise solutions for bankruptcy situations with references

  • M. Pulido
  • P. Borm
  • R. Hendrickx
  • N. Llorca
  • J. Sánchez-Soriano
Article

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.

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References

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  3. Pulido, M. (2001). Estructuras de coaliciones y aplicaciones de la teoría de juegos. Tesis Doctoral, Universidad Miguel Hernández, Elche, Spain. Google Scholar
  4. 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. CrossRefGoogle Scholar
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Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  • M. Pulido
    • 1
  • P. Borm
    • 2
  • R. Hendrickx
    • 2
  • N. Llorca
    • 3
  • J. Sánchez-Soriano
    • 3
  1. 1.Department of Statistics and Operations Research, Faculty of MathematicsUniversity of MurciaMurciaSpain
  2. 2.Center and Department of Econometrics and Operations ResearchTilburg UniversityTilburgThe Netherlands
  3. 3.Operations Research Center and Department of Statistics, Mathematics and Computer ScienceMiguel Hernández UniversityElcheSpain

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