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Ultramodular functions. (English) Zbl 1082.52006

Summary: We study the properties of ultramodular functions, a class of functions that generalizes scalar convexity and that naturally arises in some economic and statistical applications.

MSC:

52A41 Convex functions and convex programs in convex geometry
52A01 Axiomatic and generalized convexity
90C26 Nonconvex programming, global optimization
91A12 Cooperative games
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