Abstract:Young [97] axiomatized the Shapley value on G by using efficiency, symmetry and the so-called strong monotonicity. Inspired by his approach, we modify strong monotonicity, such that it can be used together with efficiency and symmetry, to axiomatize the ELS values:• The ELS value is the unique value on G satisfying efficiency, symmetry and B-strong monotonicity. (Theorem 2.7).In the uniqueness proof, we make use of a new basis of the game space G. The special feature of this new basis { N, u b T | T ⊆ N, T = ∅… Show more
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