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A proportional extension of the Shapley value for monotone games with a coalition structure

Author
Alonso, J.; Carreras, F.
Type of activity
Report
Date
2009-03-06
Project funding
Grant MTM 2006-06064
Repository
http://hdl.handle.net/2117/6872 Open in new window
Abstract
The Owen value is a modification of the Shapley value for games with a coalition structure. In this paper, we propose another modification of the Shapley value for monotone games with a coalition structure. This new value is a double- extension of the Shapley value in the next sense: the amount obtained by an union coincides with the Shapley value of the union in the quotient game, and the players of each union share this amount proportionally to their Shapley values in the game without unions. ...
Citation
Alonso, J.; Carreras, F. "A proportional extension of the Shapley value for monotone games with a coalition structure". 2009.
Group of research
GRTJ - Game Theory Research Group

Participants