Theoretical Economics
Journal of the Econometric Society
Edited by: Federico Echenique • ISSN (e): 1555-7561 • ISSN (print): 1933-6837
Theoretical Economics: Jul, 2021, Volume 16, Issue 3
When is a monotone function cyclically monotone?
https://doi.org/10.3982/TE4305
p. 853-879
Alexey I. Kushnir, Lev V. Lokutsievskiy
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.
