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.

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Year of publication:	2021
Authors:	Kushnir, Alexey ; Lokutsievskiy, Lev V.
Published in:	Theoretical Economics. - New Haven, CT : The Econometric Society, ISSN 1555-7561. - Vol. 16.2021, 3, p. 853-879
Publisher:	New Haven, CT : The Econometric Society
Subject:	Monotone \| cyclically monotone \| nonconvex domain \| gross substitutes \| gross substitutes and complements \| mechanism design \| algebraic topology \| homology \| nerve theorem

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Type of publication:	Article
Type of publication (narrower categories):	Article
Language:	English
Other identifiers:	10.3982/TE4305 [DOI] 1788500644 [GVK] hdl:10419/253532 [Handle] RePEc:the:publsh:4305 [RePEc]
Classification:	D82 - Asymmetric and Private Information
Source:	EconStor

Persistent link: https://www.econbiz.de/10013189082