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A Bankruptcy Approach to the Core Cover

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Author Info

  • Arantza Est�vez-Fern�ndez

    (VU University Amsterdam)

  • Mar�a Gloria Fiestras-Janeiro

    (Vigo University)

  • Manuel Alfredo Mosquera

    (Vigo University)

  • Estela S�nchez- Rodr�guez

    (Vigo University)

Abstract

In this paper we establish a relationship between the core cover of a compromise admissiblegame and the core of a particular bankruptcy game: the core cover of a compromiseadmissible game is, indeed, a translation of the set of coalitional stable allocations capturedby an associated bankruptcy game. Moreover, we analyze the combinatorial complexity ofthe core cover and, consequently, of the core of a compromise stable game.

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File URL: http://papers.tinbergen.nl/12012.pdf
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Bibliographic Info

Paper provided by Tinbergen Institute in its series Tinbergen Institute Discussion Papers with number 12-012/1.

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Date of creation: 10 Feb 2012
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Handle: RePEc:dgr:uvatin:20120012

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Web page: http://www.tinbergen.nl

Related research

Keywords: Cooperative game theory; compromise admissible games; bankruptcy; core cover; complexity;

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References

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  1. Quant, Marieke & Borm, Peter & Hendrickx, Ruud & Zwikker, Peter, 2006. "Compromise solutions based on bankruptcy," Mathematical Social Sciences, Elsevier, vol. 51(3), pages 247-256, May.
  2. Borm, P.E.M. & Hendrickx, R.L.P. & Quant, M. & Gonzalez-Diaz, J., 2003. "A Geometric Characterisation of the Compromise Value," Discussion Paper 2003-88, Tilburg University, Center for Economic Research.
  3. Platz, T.T. & Hamers, H.J.M. & Quant, M., 2011. "Characterizing Compromise Stability of Games Using Larginal Vectors," Discussion Paper 2011-058, Tilburg University, Center for Economic Research.
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Cited by:
  1. Arantza Est�vez-Fern�ndez & Peter Borm & M. Gloria Fiestras-Janeiro, 2014. "Nontransferable Utility Bankruptcy Games," Tinbergen Institute Discussion Papers 14-030/II, Tinbergen Institute.

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