Relationship between the Shapley value and other solutions
نویسندگان
چکیده
The main contribution of this paper is to give a necessary and sufficient condition under which the Shapley value coincides with the nucleolus, the CIS value and the ENSC value in the following classes of games; airport games (Littlechild and Owen (1973)), bidder collusion games (Graham et al. (1990)) and polluted river games (Ni and Wang (2007)). Along the way, we also show the necessary and sufficient condition under which the Shapley value coincides with the prenucleolus for general 3-person game. The general coincidence condition for the CIS value and the ENSC value is also given. JEL classification: C71
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