.png){kind=icon}
Return
The persistent complex value
.png){kind=icon}
PRE
AI
DOI：10.1080/03081079.2026.2614298.png)
.png){kind=icon}
.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
We propose an extension of the classical Shapley value for cooperative games by introducing a new solution concept defined over filtered simplicial complexes. We define a restricted game based on a simplicial complex and a filtration. A filtration is a sequence of simplicial sub-complexes representing the process of simplicial complex formation. The value of a coalition is determined by the values and the persistence of its constituent simplices, where the persistence quantifies their occurrences as maximal simplices in the filtration. A new cooperative solution concept, called persistent complex value, is defined as the Shapley value of this restricted game. Two axiomatic characterizations of this value are provided.
Keywords:
TU-games
coalitions
simplicial complexes
filtrations
Shapley value
Journal
I
IF:
2.9
Papers:
53
Citations:
9
Organization
Cited Papers
.png){kind=icon}
ShareSave
ShareSaveShareSave
View more