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Linear symmetric rankings for TU-games

Author

Listed:
  • L. Hernández-Lamoneda

    (Centro de Investigación en Matemáticas, A.C.)

  • F. Sánchez-Sánchez

    (Centro de Investigación en Matemáticas, A.C.)

Abstract

We define ranking as an equivalence relation on the set of power indices and study those that have a linear and symmetric representative. Moreover, we classify—or parametrize—those rankings that reward “positive” payoffs for “positive” participation. It is shown that these are in 1-1 correspondence with the points of the standard simplex. Moreover, this correspondence is convex. Finally, we contrast this classification with Saari–Sieberg’s approach via “positive” semi-values.

Suggested Citation

  • L. Hernández-Lamoneda & F. Sánchez-Sánchez, 2017. "Linear symmetric rankings for TU-games," Theory and Decision, Springer, vol. 82(4), pages 461-484, April.
    • Handle: RePEc:kap:theord:v:82:y:2017:i:4:d:10.1007_s11238-016-9576-6
    DOI: 10.1007/s11238-016-9576-6
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    References listed on IDEAS

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    Keywords

    Ranking; Linear power index;

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