Characterizations, Potential, and an Implementation of the Shapley-Solidarity Value
Jun Su, Liang Yuan, Guangmin Wang, Genjiu Xu
Xi'an University of Science and Technology Shaanxi University of Science and Technology Northwestern Polytechnical University
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摘要与影响
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.
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经济 / 管理Game Theory and Voting Systems
Game Theory and Applications · Advanced Combinatorial Mathematics
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