有限分配格上的超模对策锥
The cone of supermodular games on finite distributive lattices
摘要:
本文研究有限分配格上的超模函数。放松域是有限集的幂集的假设,我们专注于这类函数的多面体锥的几何性质。具体地,我们推广了极值准则,并研究了超模锥的面格。通过相应的紧线性不等式提供了刻面的显式描述。
英文摘要:
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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