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A Banzhaf share function for cooperative games in coalition structure

  • Gerard van der Laan

    ()

  • René van den Brink

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File URL: http://hdl.handle.net/10.1023/A:1020805106965
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Article provided by Springer in its journal Theory and Decision.

Volume (Year): 53 (2002)
Issue (Month): 1 (August)
Pages: 61-86

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Handle: RePEc:kap:theord:v:53:y:2002:i:1:p:61-86
Contact details of provider: Web page: http://www.springerlink.com/link.asp?id=100341

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  1. Grabisch, M. & Roubens, M., 1998. "An Axiomatic Approach to the Concept of Interaction Among Players in Cooperative Games," Liege - Groupe d'Etude des Mathematiques du Management et de l'Economie 9818, UNIVERSITE DE LIEGE, Faculte d'economie, de gestion et de sciences sociales, Groupe d'Etude des Mathematiques du Management et de l'Economie.
  2. Ren� van den Brink & Gerard van der Laan, 2001. "A Class of Consistent Share Functions for Games in Coalition Structure," Tinbergen Institute Discussion Papers 01-044/1, Tinbergen Institute.
  3. Haller, Hans, 1994. "Collusion Properties of Values," International Journal of Game Theory, Springer, vol. 23(3), pages 261-81.
  4. Andrzej S. Nowak, 1997. "note: On an Axiomatization of the Banzhaf Value without the Additivity Axiom," International Journal of Game Theory, Springer, vol. 26(1), pages 137-141.
  5. Eyal Winter, 1989. "The Consistency and Potential for Values of Games with Coalition Structure," Discussion Paper Serie A 242, University of Bonn, Germany.
  6. van den Brink, J.R. & van der Laan, G., 1998. "The Normalized Banzhaf Value and the Banzhaf Share Function," Research Memorandum 764, Tilburg University, School of Economics and Management.
  7. Lehrer, E, 1988. "An Axiomatization of the Banzhaf Value," International Journal of Game Theory, Springer, vol. 17(2), pages 89-99.
  8. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-64, July.
  9. Owen, Guillermo & Winter, Eyal, 1992. "The multilinear extension and the coalition structure value," Games and Economic Behavior, Elsevier, vol. 4(4), pages 582-587, October.
  10. Gerard van der Laan & René van den Brink, 1998. "Axiomatization of a class of share functions for n-person games," Theory and Decision, Springer, vol. 44(2), pages 117-148, April.
  11. (*), Gerard van der Laan & RenÊ van den Brink, 1998. "Axiomatizations of the normalized Banzhaf value and the Shapley value," Social Choice and Welfare, Springer, vol. 15(4), pages 567-582.
  12. Winter, Eyal, 1989. "A Value for Cooperative Games with Levels Structure of Cooperation," International Journal of Game Theory, Springer, vol. 18(2), pages 227-40.
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