Operations Research Transactions
• Original Articles • Previous Articles Next Articles
WANG Wen-Wen, SUN Hao, HAN Wei-Bin
Received:
Revised:
Online:
Published:
Abstract: 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.
Key words: graph-restricted games, $\tau$-value, quasibalanced, component efficiency
WANG Wen-Wen, SUN Hao, HAN Wei-Bin. The $\tau$-value of Cooperative Games Restricted by Graph[J]. Operations Research Transactions.
0 / / Recommend
Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks
URL: https://www.ort.shu.edu.cn/EN/
https://www.ort.shu.edu.cn/EN/Y2011/V15/I4/75