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Note On linear consistency of anonymous values for TU-games

Author

Listed:
  • Theo Driessen

    (Faculty of Mathematical Sciences, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands Revised version: December 2001)

  • Elena Yanovskaya

    (St. Petersburg Institute for Economics and Mathematics, Russian Academy of Sciences, Tchaikovsky st. 1, 191187 St. Petersburg, Russia)

Abstract

In the framework of values for TU-games, it is shown that a particular type of consistency, called linear consistency, together with some kind of standardness for two-person games, imply efficiency, anonymity, linearity, as well as uniqueness of the value. Among others, this uniform treatment generalizes Sobolev's axiomatization of the Shapley value.

Suggested Citation

  • Theo Driessen & Elena Yanovskaya, 2002. "Note On linear consistency of anonymous values for TU-games," International Journal of Game Theory, Springer;Game Theory Society, vol. 30(4), pages 601-609.
    • Handle: RePEc:spr:jogath:v:30:y:2002:i:4:p:601-609
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    Citations

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    Cited by:

    1. Pérez-Castrillo, David & Sun, Chaoran, 2021. "Value-free reductions," Games and Economic Behavior, Elsevier, vol. 130(C), pages 543-568.
    2. Driessen, Theo & Hu, Cheng-Cheng, 2009. "A note on equivalence of consistency and bilateral consistency through converse consistency," Games and Economic Behavior, Elsevier, vol. 65(2), pages 644-648, March.
    3. René van den Brink & Yukihiko Funaki & Yuan Ju, 2007. "Consistency, Monotonicity and Implementation of Egalitarian Shapley Values," Tinbergen Institute Discussion Papers 07-062/1, Tinbergen Institute.
    4. Xu, Genjiu & Driessen, Theo S.H. & Sun, Hao & Su, Jun, 2013. "Consistency for the additive efficient normalization of semivalues," European Journal of Operational Research, Elsevier, vol. 224(3), pages 566-571.
    5. René Brink & Yukihiko Funaki & Yuan Ju, 2013. "Reconciling marginalism with egalitarianism: consistency, monotonicity, and implementation of egalitarian Shapley values," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(3), pages 693-714, March.
    6. Elena Yanovskaya, 2011. "Excess Values for Cooperative Games with Transferable Utilities and Double Consistent Allocation Methods," HSE Working papers WP BRP 10/EC/2011, National Research University Higher School of Economics.

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