The cone of supermodular games on finite distributive lattices

Michel Grabisch and Tomáš Kroupa
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Tomáš Kroupa: University of West Bohemia [Plzeň ]

PSE-Ecole d'économie de Paris (Postprint) from HAL

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.

Keywords: supermodular function; finite distributive lattice; coalitional game; polyhedral cone (search for similar items in EconPapers)
Date: 2019
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-02381019v2
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Published in Discrete Applied Mathematics, 2019, 260, pp.144-154. ⟨10.1016/j.dam.2019.01.024⟩

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Related works:
Working Paper: The cone of supermodular games on finite distributive lattices (2019)
Working Paper: The cone of supermodular games on finite distributive lattices (2019)
Working Paper: The cone of supermodular games on finite distributive lattices (2018)
Working Paper: The cone of supermodular games on finite distributive lattices (2018)
Working Paper: The core of supermodular games on finite distributive lattices (2018)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:pseptp:halshs-02381019

DOI: 10.1016/j.dam.2019.01.024

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