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Sign symmetry vs symmetry: Young’s characterization of the Shapley value revisited

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Abstract We revisit Young’s (Young, 1985) characterization of the Shapley value by efficiency, symmetry, and marginality/strong monotonicity. In particular, we suggest a relaxation of symmetry called sign symmetry. While symmetry… Click to show full abstract

Abstract We revisit Young’s (Young, 1985) characterization of the Shapley value by efficiency, symmetry, and marginality/strong monotonicity. In particular, we suggest a relaxation of symmetry called sign symmetry. While symmetry requires equally productive players to obtain the same payoffs, sign symmetry only requires their payoffs to have the same sign. It turns out that sign symmetry can take the place of symmetry in Young’s characterization.

Keywords: characterization shapley; shapley value; sign symmetry; symmetry symmetry; symmetry

Journal Title: Economics Letters
Year Published: 2018

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