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

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Author Info

  • Silvia Lorenzo-Freire
  • Balbina Casas-Méndez

    ()

  • Ruud Hendrickx

Abstract

This paper considers two-stage solutions for multi-issue allocation situations.Characterisations are provided for the two-stage constrained equal awards and constrained equal losses rules, based on the properties of composition and path independence.

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File URL: http://hdl.handle.net/10.1007/s11750-009-0073-8
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Bibliographic Info

Article provided by Springer in its journal TOP.

Volume (Year): 18 (2010)
Issue (Month): 2 (December)
Pages: 465-480

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Handle: RePEc:spr:topjnl:v:18:y:2010:i:2:p:465-480

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Related research

Keywords: Bankruptcy problems; Multi-issue allocation situations; Constrained equal awards; Constrained equal losses; Two-stage solutions; 91A12; 91B14;

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References

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  1. Casas-Mendez, B. & Borm, P.E.M. & Carpente, L. & Hendrickx, R.L.P., 2002. "The Constrained Equal Award Rule for Bankruptcy Problems with a Priori Unions," Discussion Paper 2002-83, Tilburg University, Center for Economic Research.
  2. O'Neill, Barry, 1982. "A problem of rights arbitration from the Talmud," Mathematical Social Sciences, Elsevier, vol. 2(4), pages 345-371, June.
  3. Antonio Villar Notario & Carmen Herrero Blanco, 2000. "The Three Musketeers: Four Classical Solutions To Bankruptcy Problems," Working Papers. Serie AD 2000-23, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  4. Antonio Villar Notario & Carmen Herrero Blanco, 1998. "- Preeminence And Sustainability In Bankruptcy Problems," Working Papers. Serie AD 1998-17, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  5. Aumann, Robert J. & Maschler, Michael, 1985. "Game theoretic analysis of a bankruptcy problem from the Talmud," Journal of Economic Theory, Elsevier, vol. 36(2), pages 195-213, August.
  6. Nir Dagan, 1996. "New Characterizations of Old Bankruptcy Rules," Economic theory and game theory 002, Nir Dagan.
  7. Calleja, Pedro & Borm, Peter & Hendrickx, Ruud, 2005. "Multi-issue allocation situations," European Journal of Operational Research, Elsevier, vol. 164(3), pages 730-747, August.
  8. Young, H. P., 1988. "Distributive justice in taxation," Journal of Economic Theory, Elsevier, vol. 44(2), pages 321-335, April.
  9. Hervé Moulin, 2000. "Priority Rules and Other Asymmetric Rationing Methods," Econometrica, Econometric Society, vol. 68(3), pages 643-684, May.
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Citations

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Cited by:
  1. Gustavo Bergantiños & Leticia Lorenzo & Silvia Lorenzo-Freire, 2011. "New characterizations of the constrained equal awards rule in multi-issue allocation situations," Computational Statistics, Springer, vol. 74(3), pages 311-325, December.

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