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A value for cooperative games on simplicial complexes with a filtration.
- Source :
-
Discrete Applied Mathematics . Jul2024, Vol. 351, p1-14. 14p. - Publication Year :
- 2024
-
Abstract
- The classical Shapley value for cooperative games determines a payoff vector considering that the formation of the grand coalition is made by incorporating players one by one. Later, this method was generalized for games with restricted cooperation by several known mathematical structures: partitions, graphs, convex geometries, antimatroids, matroids or simplicial complexes. In this paper we consider games over simplicial complex with an extra information about the relationships of the agents, a filtration of the complex. Filtrations are very known simplicial structures in the social and neuronal networks. We propose a Shapley value for these situations and an axiomatization. [ABSTRACT FROM AUTHOR]
- Subjects :
- *NEURAL circuitry
*GAMES
*SOCIAL networks
*SOCIAL structure
*CONVEX geometry
Subjects
Details
- Language :
- English
- ISSN :
- 0166218X
- Volume :
- 351
- Database :
- Academic Search Index
- Journal :
- Discrete Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 176647350
- Full Text :
- https://doi.org/10.1016/j.dam.2024.03.002