Share functions for cooperative games with levels structure of cooperation
In a standard TU-game it is assumed that every subset of the player set N can form a coalition and earn its worth. One of the first models where restrictions in cooperation are considered is the one of games with coalition structure of Aumann and Drèze (1974). They assumed that the player set is partitioned into unions and that players can only cooperate within their own union. Owen (1977) introduced a value for games with coalition structure under the assumption that also the unions can cooperate among them. Winter (1989) extended this value to games with levels structure of cooperation, which consists of a game and a finite sequence of partitions defined on the player set, each of them being coarser than the previous one.
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Volume (Year): 224 (2013)
Issue (Month): 1 ()
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- 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.
- René 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.
- 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.
- 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.
- Nicolas Andjiga & Sebastien Courtin, 2015.
"Coalition configurations and share functions,"
Annals of Operations Research,
Springer, vol. 225(1), pages 3-25, February.
- Sébastien Courtin, 2011.
"Power in the European Union: an evaluation according to a priori relations between states,"
AccessEcon, vol. 31(1), pages 534-545.
- Sebastien Courtin, 2011. "Power in the European Union: an evaluation according to a priori relations between states," Post-Print hal-00914876, HAL.
- (*), 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.
- 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.
- van der Laan, G. & van den Brink, J.R., 1998.
"A Banzhaf share function for cooperative games in coalition structure,"
1998-66, Tilburg University, Center for Economic Research.
- Gerard van der Laan & René van den Brink, 2002. "A Banzhaf share function for cooperative games in coalition structure," Theory and Decision, Springer, vol. 53(1), pages 61-86, August.
- M. Albizuri & Jesus Aurrekoetxea, 2006. "Coalition Configurations and the Banzhaf Index," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(3), pages 571-596, June.
- Albizuri, M.J. & Aurrecoechea, J. & Zarzuelo, J.M., 2006. "Configuration values: Extensions of the coalitional Owen value," Games and Economic Behavior, Elsevier, vol. 57(1), pages 1-17, October.
- Pekec, Aleksandar, 2001. "Meaningful and meaningless solutions for cooperative n-person games," European Journal of Operational Research, Elsevier, vol. 133(3), pages 608-623, September.
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