The cone of supermodular games on finite distributive lattices

Michel Grabisch and Tomáš Kroupa ()
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Tomáš Kroupa: UTIA / CAS - Institute of Information Theory and Automation of the Czech Academy of Sciences - CAS - Czech Academy of Sciences [Prague]

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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 extremal rays and study the face lattice of the supermodular cone. An explicit description of facets by the corresponding tight linear inequalities is provided.

Keywords: supermodular/submodular function; core; coalitional game; polyhedral cone; fonction sur/sous-modulaire; coeur; jeux coalitionnel; cône polyhédral (search for similar items in EconPapers)
Date: 2018-03
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-01821712v1
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Published in 2018

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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 (2019)
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:journl:halshs-01821712

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