When is a monotone function cyclically monotone?
Copyright policy )When is a monotone function cyclically monotone?
We provide sufficient conditions for a monotone function with a finite set of outcomes to be cyclically monotone. Using these conditions, we show that any monotone function defined on the domain of gross substitutes is cyclically monotone. The result also extends to the domain of generalized gross substitutes and complements.
- Carnegie Mellon University United States
- Russian Academy of Sciences Russian Federation
gross substitutes and complements, ddc:330, gross substitutes, homology, Mechanism design theory, mechanism design, Čech types, D82, algebraic topology, monotone, cyclically monotone, nonconvex domain, Monotone, nerve theorem
gross substitutes and complements, ddc:330, gross substitutes, homology, Mechanism design theory, mechanism design, Čech types, D82, algebraic topology, monotone, cyclically monotone, nonconvex domain, Monotone, nerve theorem
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).7 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!