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On the nucleolus of neighbor games

  • Hamers, Herbert
  • Klijn, Flip
  • Solymosi, Tamas
  • Tijs, Stef
  • Vermeulen, Dries

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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File URL: http://www.sciencedirect.com/science/article/B6VCT-45J90PP-9/2/2430c80f5df4e1db3286336ba8543fab
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Article provided by Elsevier in its journal European Journal of Operational Research.

Volume (Year): 146 (2003)
Issue (Month): 1 (April)
Pages: 1-18

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Handle: RePEc:eee:ejores:v:146:y:2003:i:1:p:1-18
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  1. Hamers, H.J.M. & Klijn, F. & Solymosi, T. & Tijs, S.H. & Pere Villar, J., 2002. "Assignment games satisfy the CoMa property," Other publications TiSEM da67df69-7b64-4f98-ba8a-8, Tilburg University, School of Economics and Management.
  2. Curiel, I. & Potters, J.A.M. & Rajendra Prasad, V. & Tijs, S.H. & Veltman, B., 1994. "Sequencing and cooperation," Other publications TiSEM be67f9e9-7a4a-47f1-9fb9-7, Tilburg University, School of Economics and Management.
  3. repec:spr:compst:v:58:y:2003:i:2:p:191-208 is not listed on IDEAS
  4. 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.
  5. repec:fth:tilbur:99110 is not listed on IDEAS
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