Characterizations, Potential, and an Implementation of the Shapley-Solidarity Value

Jun Su, Yuan Liang, Guangmin Wang and Genjiu Xu
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Jun Su: School of Science, Xi’an University of Science and Technology, Xi’an 710054, Shaanxi, China
Yuan Liang: School of Science, Xi’an University of Science and Technology, Xi’an 710054, Shaanxi, China
Guangmin Wang: School of Mathematics and Statistics, Northwestern Polytechnical University, Xi’an 710072, Shaanxi, China
Genjiu Xu: School of Mathematics and Statistics, Northwestern Polytechnical University, Xi’an 710072, Shaanxi, China

Mathematics, 2020, vol. 8, issue 11, 1-20

Abstract: In this paper, we provide cooperative and non-cooperative interpretations of the Shapley–Solidarity value for cooperative games with coalition structure. Firstly, we present two new characterizations of this value based on intracoalitional quasi-balanced contributions property. Secondly, we study a potential function of the Shapley–Solidarity value. Finally, we propose a new bidding mechanism for the Solidarity value and then apply the result to the Shapley–Solidarity value.

Keywords: Shapley-Solidarity value; coalition structure; potential; bidding mechanism (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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