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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. van den Brink, J.R. & van der Laan, G., 2001. "A Class of Consistent Share Functions For Games in Coalition Structure," Discussion Paper 2001-33, Tilburg University, Center for Economic Research.
  2. 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.
  3. Eyal Winter, 1989. "The Consistency and Potential for Values of Games with Coalition Structure," Discussion Paper Serie A 242, University of Bonn, Germany.
  4. Lehrer, E, 1988. "An Axiomatization of the Banzhaf Value," International Journal of Game Theory, Springer, vol. 17(2), pages 89-99.
  5. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-64, July.
  6. 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.
  7. 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.
  8. repec:dgr:kubrem:1998764 is not listed on IDEAS
  9. (*), 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.
  10. Haller, Hans, 1994. "Collusion Properties of Values," International Journal of Game Theory, Springer, vol. 23(3), pages 261-81.
  11. repec:dgr:kubcen:200133 is not listed on IDEAS
  12. 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.
  13. van den Brink, J.R. & van der Laan, G., 1998. "The Normalized Banzhaf Value and the Banzhaf Share Function," Research Memorandum 764, School of Economics and Management.
  14. Marc Roubens & Michel Grabisch, 1999. "An axiomatic approach to the concept of interaction among players in cooperative games," International Journal of Game Theory, Springer, vol. 28(4), pages 547-565.
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