A value for games on augmenting systems with a coalition structure

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• 作者：Fanyong Meng^a ; ^{mengfanyongtjie@163.com" class="auth_mail" title="E-mail the corresponding author} ; Qiang Zhang^b ; ^{qiangzhang@bit.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Xiaohong Chen^a ; ^c ; ^{cxh@csu.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Augmenting system ; Game with a coalition structure ; Augmenting symmetric Banzhaf coalitional value
• 刊名：Operations Research Letters
• 出版年：2016
• 出版时间：May 2016
• 年：2016
• 卷：44
• 期：3
• 页码：324-328
• 全文大小：390 K

文摘

The purpose of this paper is to discuss games on augmenting systems with a coalition structure, where all feasible subsets of the coalition structure and that of each union both form an augmenting system. A value named the augmenting symmetric Banzhaf coalitional value is introduced. The distribution of power in the Basque Parliament emerging is provided to illustrate the concrete application of the value. Meanwhile, two axiomatic systems are established.