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An Axiom System For A Value For Games In Partition Function Form

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  • M. J. ALBIZURI

    ()
    (Department of Applied Economy IV, Basque Country University, Bilbao, Spain)

  • J. ARIN

    (Department of Foundations of Economic Analysis, Basque Country University, Bilbao, Spain)

  • J. RUBIO

    (Department of Statistics and Econometrics, Basque Country University, Bilbao, Spain)

Abstract

Lucas and Trall (1963) defined the games in partition function form as a generalization of the cooperative games with transferable utility. In our work we propose by means of an axiomatic characterization a solution for such games in partition function form. This solution will be a generalization of the Shapley value (1953).

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Bibliographic Info

Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal International Game Theory Review.

Volume (Year): 07 (2005)
Issue (Month): 01 ()
Pages: 63-72

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Handle: RePEc:wsi:igtrxx:v:07:y:2005:i:01:p:63-72

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Related research

Keywords: Games in partition function form; Shapley value; JEL Classification: C71;

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Cited by:
  1. Geoffroy de Clippel & Roberto Serrano, 2007. "Marginal contributions and externalities in the value," Working Papers 2007-04, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales.
  2. repec:hal:journl:halshs-00690696 is not listed on IDEAS
  3. Michel Grabisch & Yukihiko Funaki, 2012. "A coalition formation value for games in partition function form," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00690696, HAL.
  4. M. Albizuri, 2010. "Games with externalities: games in coalition configuration function form," Computational Statistics, Springer, vol. 72(1), pages 171-186, August.
  5. Hafalir, Isa E., 2007. "Efficiency in coalition games with externalities," Games and Economic Behavior, Elsevier, vol. 61(2), pages 242-258, November.
  6. Inés Macho-Stadler & David Pérez-Castrillo & David Wettstein, 2008. "Dividends and Weighted Values in Games with Externalities," UFAE and IAE Working Papers 758.08, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  7. Dutta, Bhaskar & Ehlers, Lars & Kar, Anirban, 2010. "Externalities, potential, value and consistency," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2380-2411, November.
  8. Mikel Álvarez-Mozos & Oriol Tejada Pinyol, 2014. "The Banzhaf Value in the Presence of Externalities," UB Economics Working Papers 2014/302, Universitat de Barcelona, Facultat d'Economia i Empresa, UB Economics.
  9. Rene van den Brink & Gerard van der Laan & Nigel Moes, 2010. "Fair Agreements for Sharing International Rivers with Multiple Springs and Externalities," Tinbergen Institute Discussion Papers 10-096/1, Tinbergen Institute.
  10. Effrosyni Diamantoudi & Inés Macho-Stadler & David Pérez-Castrillo & Licun Xue, 2011. "Sharing the surplus in games with externalities within and across issues," UFAE and IAE Working Papers 880.11, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  11. Rene van den Brink & Gerard van der Laan & Nigel Moes, 2010. "Fair Agreements for Sharing International Rivers with Multiple Springs and Externalities," Tinbergen Institute Discussion Papers 10-096/1, Tinbergen Institute.
  12. Cheng-Cheng Hu & Yi-You Yang, 2010. "An axiomatic characterization of a value for games in partition function form," SERIEs, Spanish Economic Association, vol. 1(4), pages 475-487, September.
  13. repec:hal:journl:hal-00457827 is not listed on IDEAS

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