PROCEEDINGS IPMU '08
Games on distributive lattices and the Shapley interaction transform
Fabien Lange, Michel Grabisch.
The paper proposes a general approach
of interaction between players
or attributes. It generalizes the
notion of interaction defined for
players modeled by games, by considering
functions defined on distributive
lattices. A general definition
of the interaction index is provided,
as well as the construction
of operators establishing transforms
between games, their Möbius transforms
and their interaction indices.
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