可加可分合作对策不同特征函数之间的对称关系

IF 1.1 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
E. Gromova, K. Savin
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引用次数: 0

摘要

We analyze 4 characteristic functions \begin{document}$ V^\alpha $\end{document}, \begin{document}$ V^\delta $\end{document}, \begin{document}$ V^\zeta $\end{document}, and \begin{document}$ V^\eta $\end{document}, and give a necessary condition for these functions to satisfy the relation \begin{document}$ V^\alpha - V^\delta = V^\zeta - V^\eta $\end{document} for all coalitions \begin{document}$ S $\end{document}. To do so, we define and formally analyze the class of additively separable games. It is shown that many important types of games, both static and dynamic, belong to this class.
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On the symmetry relation between different characteristic functions for additively separable cooperative games

We analyze 4 characteristic functions \begin{document}$ V^\alpha $\end{document}, \begin{document}$ V^\delta $\end{document}, \begin{document}$ V^\zeta $\end{document}, and \begin{document}$ V^\eta $\end{document}, and give a necessary condition for these functions to satisfy the relation \begin{document}$ V^\alpha - V^\delta = V^\zeta - V^\eta $\end{document} for all coalitions \begin{document}$ S $\end{document}. To do so, we define and formally analyze the class of additively separable games. It is shown that many important types of games, both static and dynamic, belong to this class.

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来源期刊
Journal of Dynamics and Games
Journal of Dynamics and Games MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-
CiteScore
2.00
自引率
0.00%
发文量
26
期刊介绍: The Journal of Dynamics and Games (JDG) is a pure and applied mathematical journal that publishes high quality peer-review and expository papers in all research areas of expertise of its editors. The main focus of JDG is in the interface of Dynamical Systems and Game Theory.
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