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On the Nucleolus of Neighbour Games

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Author Info

  • Hamers, H.J.M.
  • Klijn, F.
  • Solymosi, T.
  • Tijs, S.H.
  • Vermeulen, D.

    (Tilburg University, Center for Economic Research)

Abstract

The class of neighbour games is the intersection of the class of assignment games (cf. Shapley and Shubik (1972)) and the class of component additive games (cf. Curiel et al. (1994)). For assignment games and component additive games there exist polynomially bounded algorithms of order p4 for calculating the nucleolus, where p is the number of players. In this paper we present a polynomially bounded algorithm of order p2 for calculating the nucleolus of neighbour games.

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Bibliographic Info

Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 1999-111.

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Date of creation: 1999
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Handle: RePEc:dgr:kubcen:1999111

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Keywords: Neighbour games; nucleolus;

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References

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  1. Solymosi, Tamas & Raghavan, Tirukkannamangai E S, 1994. "An Algorithm for Finding the Nucleolus of Asignment Games," International Journal of Game Theory, Springer, vol. 23(2), pages 119-43.
  2. repec:fth:tilbur:99110 is not listed on IDEAS
  3. Hamers, Herbert & Klijn, Flip & Solymosi, Tamas & Tijs, Stef & Pere Villar, Joan, 2002. "Assignment Games Satisfy the CoMa-Property," Games and Economic Behavior, Elsevier, vol. 38(2), pages 231-239, February.
  4. Flip Klijn & Dries Vermeulen & Herbert Hamers & Tamás Solymosi & Stef Tijs & Joan Pere Villar, 2003. "Neighbor games and the leximax solution," Computational Statistics, Springer, vol. 58(2), pages 191-208, November.
  5. Curiel, I. & Potters, J.A.M. & Rajendra Prasad, V. & Tijs, S.H. & Veltman, B., 1994. "Sequencing and cooperation," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154192, Tilburg University.
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Cited by:
  1. Flip Klijn & Dries Vermeulen & Herbert Hamers & Tamás Solymosi & Stef Tijs & Joan Pere Villar, 2003. "Neighbor games and the leximax solution," Computational Statistics, Springer, vol. 58(2), pages 191-208, November.
  2. Velzen, S. van & Hamers, H.J.M. & Solymosi, T., 2004. "Core Stability in Chain-Component Additive Games," Discussion Paper 2004-101, Tilburg University, Center for Economic Research.

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