Two-step Shapley-solidarity value for cooperative games with coalition structure

Rong Zou (), Wenzhong Li (), Marc Uetz () and Genjiu Xu ()
Additional contact information
Rong Zou: Northwestern Polytechnical University
Wenzhong Li: Northwestern Polytechnical University
Marc Uetz: University of Twente
Genjiu Xu: Northwestern Polytechnical University

OR Spectrum: Quantitative Approaches in Management, 2023, vol. 45, issue 1, No 1, 25 pages

Abstract: Abstract This paper proposes an alternative for the two-step Shapley value for cooperative games with coalition structure that has earlier been proposed by Kamijo. The value is based on the idea that within a union of players, worth should be distributed based on the solidarity principle. Specifically, we propose a two-step Shapley-solidarity value, in which the surplus of a union’s Shapley value in the quotient game is distributed equally among the union’s members, and players obtain the solidarity value of the respective subgame within their union. We provide an intuitive procedural characterization for this value and give three axiomatizations to pinpoint the differences to comparable values.

Keywords: Cooperative games; Coalition structure; Solidarity; Procedural characterization; Axiomatization; 91A12 (search for similar items in EconPapers)
JEL-codes: C71 (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s00291-022-00694-9

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