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Calculating direct and indirect contributions of players in cooperative games via the multi-linear extension

André Casajus and Frank Huettner

Economics Letters, 2018, vol. 164, issue C, 27-30

Abstract: The resolution of a solution for cooperative games is a recently developed tool to decompose a solution into a player’s direct contribution in a game and her (higher-order) indirect contribution, i.e., her contribution to other players’ direct contributions. We provide new formulae for resolutions and their potentials, which facilitate the calculation of them in large (voting) games. These formulae make use of the multi-linear extension of cooperative games with transferable utility.

Keywords: Shapley value; Decomposition; Resolution; Potential; Multi-linear extension (search for similar items in EconPapers)
JEL-codes: C71 D60 (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ecolet:v:164:y:2018:i:c:p:27-30

DOI: 10.1016/j.econlet.2017.12.011

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