图限制下合作对策的τ值

首先研究了图限制下合作对策的τ值,这个单值解是由Tijs提出的经典合作对策τ值的推广.并且当合作图为完全图时,准均衡图对策的τ值与经典合作对策下的准均衡对策的τ值一致.其次利用分支有效性,S-均衡下的相对不变性和限制成比例性讨论了τ值的公理化方法.最后介绍了两类特殊图对策的τ值.

The $\tau$-value of Cooperative Games Restricted by Graph

We first study the $\tau$-value for graph-restricted games and provide its explicit construction.
The one-point solution could be considered as a natural extension of the $\tau$-value introduced by
Tijs for classical cooperative games. When the cooperation graph is complete, the $\tau$-value for
graph-restricted games coincides with the $\tau$-value for classical cooperative games. Then we
provide an axiomatization of the $\tau$-value for graph-restricted games via component efficiency,
relative invariance under S-equivalence and restricted proportionality. The last section introduces
the $\tau$-value for two special classes of graph-restricted games.