Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/253532 
Year of Publication: 
2021
Citation: 
[Journal:] Theoretical Economics [ISSN:] 1555-7561 [Volume:] 16 [Issue:] 3 [Publisher:] The Econometric Society [Place:] New Haven, CT [Year:] 2021 [Pages:] 853-879
Publisher: 
The Econometric Society, New Haven, CT
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.
Subjects: 
Monotone
cyclically monotone
nonconvex domain
gross substitutes
gross substitutes and complements
mechanism design
algebraic topology
homology
nerve theorem
JEL: 
D82
Persistent Identifier of the first edition: 
Creative Commons License: 
cc-by-nc Logo
Document Type: 
Article

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