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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
DOI: 10.1023/A:1020805106965
Contact details of provider: Web page: http://www.springer.com

Order Information: Web: http://www.springer.com/economics/economic+theory/journal/11238/PS2

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  1. (*), Gerard van der Laan & RenÊ van den Brink, 1998. "Axiomatizations of the normalized Banzhaf value and the Shapley value," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(4), pages 567-582.
  2. Winter, Eyal, 1989. "A Value for Cooperative Games with Levels Structure of Cooperation," International Journal of Game Theory, Springer;Game Theory Society, vol. 18(2), pages 227-40.
  3. van den Brink, Rene & van der Laan, Gerard, 2005. "A class of consistent share functions for games in coalition structure," Games and Economic Behavior, Elsevier, vol. 51(1), pages 193-212, April.
  4. Haller, Hans, 1994. "Collusion Properties of Values," International Journal of Game Theory, Springer;Game Theory Society, vol. 23(3), pages 261-81.
  5. 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.
  6. Winter, Eyal, 1992. "The consistency and potential for values of games with coalition structure," Games and Economic Behavior, Elsevier, vol. 4(1), pages 132-144, January.
  7. Andrzej S. Nowak, 1997. "note: On an Axiomatization of the Banzhaf Value without the Additivity Axiom," International Journal of Game Theory, Springer;Game Theory Society, vol. 26(1), pages 137-141.
  8. 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.
  9. Lehrer, E, 1988. "An Axiomatization of the Banzhaf Value," International Journal of Game Theory, Springer;Game Theory Society, vol. 17(2), pages 89-99.
  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. 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.
  12. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-64, July.
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