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Linear values for interior operator games

Author

Listed:
  • Jiménez-Losada, A.
  • Chacón, C.
  • Lebrón, E.

Abstract

Interior operator games were introduced by Bilbao et al. (2005) as additive games restricted by antimatroids. In that paper several interesting cooperative games were shown as examples of interior operator games. The antimatroid is a known combinatorial structure which represents, in the game theory context, a dependence system among the players. The aim of this paper is to study a family of values which are linear functions and satisfy reasonable conditions for interior operator games. Two classes of these values are considered assuming particular properties.

Suggested Citation

  • Jiménez-Losada, A. & Chacón, C. & Lebrón, E., 2012. "Linear values for interior operator games," European Journal of Operational Research, Elsevier, vol. 220(1), pages 182-186.
    • Handle: RePEc:eee:ejores:v:220:y:2012:i:1:p:182-186
    DOI: 10.1016/j.ejor.2012.01.025
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    References listed on IDEAS

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    1. J. Bilbao & A. Jiménez-Losada & E. Lebrón & C. Chacón, 2005. "Values for Interior Operator Games," Annals of Operations Research, Springer, vol. 137(1), pages 141-160, July.
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