When is a monotone function cyclically monotone?

Artikel

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.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Journal: Theoretical Economics ; ISSN: 1555-7561 ; Volume: 16 ; Year: 2021 ; Issue: 3 ; Pages: 853-879 ; New Haven, CT: The Econometric Society

Classification and Topics

• Classification: Wirtschaft ; Asymmetric and Private Information; Mechanism Design
• Subject: Monotone ; cyclically monotone ; nonconvex domain ; gross substitutes ; gross substitutes and complements ; mechanism design ; algebraic topology ; homology ; nerve theorem

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Kushnir, Alexey ; Lokutsievskiy, Lev V.
• Event: Veröffentlichung
• (who): The Econometric Society
• (where): New Haven, CT
• (when): 2021

Further information

• DOI: doi:10.3982/TE4305
• Handle: http://hdl.handle.net/10419/253532
• Last update: 10.03.2025, 11:41 AM CET