The cone of supermodular games on finite distributive lattices

Abstract : 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.
Complete list of metadatas

Cited literature [22 references]  Display  Hide  Download

https://halshs.archives-ouvertes.fr/halshs-02381019
Contributor : Michel Grabisch <>
Submitted on : Tuesday, November 26, 2019 - 2:36:43 PM
Last modification on : Tuesday, January 21, 2020 - 1:14:01 AM

File

DA9603R2.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

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

Share

Metrics

Record views

36

Files downloads

53