Strong Addition Invariance and axiomatization of the weighted Shapley value
نویسنده
چکیده
This paper shows a new axiomatization of the Shapley value by using two axioms. First axiom is Dummy Player Property and second axiom is Strong Addition Invariance. Strong Addition Invariance states that the payoff vector of a game does not change even if we add some specific games to the game. By slightly changing the definition of Strong Addition Invariance, we can also axiomatize the weighted Shapley value. Moreover, based on the previous axiomatization of the Shapley value, we axiomatize the family of weighted Shapley values. JEL classification: C71
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