When is a monotone function cyclically monotone?-Reference-Cited by-同舟云学术

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When is a monotone function cyclically monotone?

Published:2021 Issue:3 Volume:16 Page:853-879
ISSN:1933-6837
Container-title:Theoretical Economics
language:en
Short-container-title:TE

Author:

Kushnir Alexey I.¹,Lokutsievskiy Lev V.²

Affiliation:

1. Tepper School of Business, Carnegie Mellon University

2. Steklov Mathematical Institute of the Russian Academy of Sciences

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.

Funder

Russian Science Foundation

Publisher

The Econometric Society

Subject

General Economics, Econometrics and Finance

Link

https://onlinelibrary.wiley.com/doi/pdf/10.3982/TE4305

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