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Solidarity in games with a coalition structure

✍ Scribed by Emilio Calvo; Esther Gutiérrez

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
266 KB
Volume
60
Category
Article
ISSN
0165-4896

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✦ Synopsis

A new axiomatic characterization of the two-step Shapley value Kamijo ( 2009) is presented based on a solidarity principle of the members of any union: when the game changes due to the addition or deletion of players outside the union, all members of the union will share the same gains/losses.

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✍ Xiaohui Yu; Qiang Zhang 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 733 KB

In this paper, the fuzzy core of games with fuzzy coalition is proposed, which can be regarded as the generalization of crisp core. The fuzzy core is based on the assumption that the total worth of a fuzzy coalition will be allocated to the players whose participation rate is larger than zero. The n