The interaction transform for functions on lattices |
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| Authors: | Fabien Lange |
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| Institution: | a Keleti Faculty of Economics, Budapest Tech, Tavaszmez? 15-17, 1084 Budapest, Hungary
b Centre d’Économie de la Sorbonne, UMR 8174, CNRS-Université Paris 1, 106-112 bd de l’Hôpital, 75013 Paris, France |
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| Abstract: | 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 transform is provided, as well as the construction of operators establishing transforms between games, their Möbius transforms and their interaction indices. |
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| Keywords: | Lattice function Mö bius transform Interaction transform Group action |
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