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Theoretical Economics
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Theoretical Economics
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When is a monotone function cyclically monotone?

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2021 English Publisher:The Econometric SocietyJournal:Theoretical Economics, volume 16, pages 853-879 (issn: 1933-6837, Copyright policy )
Authors: Kushnir, Alexey; Lokutsievskiy, Lev V.;

doi: 10.3982/te4305

handle: 10419/253532

When is a monotone function cyclically monotone?

Abstract

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.

Related Organizations
Keywords

D82, algebraic topology, cyclically monotone, gross substitutes and complements, ddc:330, nonconvex domain, gross substitutes, Monotone, homology, nerve theorem, mechanism design

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citations
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).
BIP!Citations provided by BIP!
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.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Top 10%
Average
Top 10%
gold
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