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Article Dans Une Revue Discrete Applied Mathematics Année : 2019

The cone of supermodular games on finite distributive lattices

Résumé

In this article we study supermodular functions on finite distributive lattices. Relaxing the assumption that the domain is a powerset of a finite set, we focus on geometrical properties of the polyhedral cone of such functions. Specifically, we generalize the criterion for extremality and study the face lattice of the supermodular cone. An explicit description of facets by the corresponding tight linear inequalities is provided.
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Dates et versions

halshs-02381019 , version 1 (26-11-2019)
halshs-02381019 , version 2 (08-05-2020)

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Michel Grabisch, Tomáš Kroupa. The cone of supermodular games on finite distributive lattices. Discrete Applied Mathematics, 2019, 260, pp.144-154. ⟨10.1016/j.dam.2019.01.024⟩. ⟨halshs-02381019v2⟩

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