Privacy-Enhanced Payment Systems

52 Pages Posted: Last revised: 12 Mar 2025

See all articles by Agostino Capponi

Agostino Capponi

Columbia University - Department of Industrial Engineering and Operations Research

Michael Lee

Federal Reserve Banks - Federal Reserve Bank of New York

Brian Zhu

Columbia University - Department of Industrial Engineering and Operations Research

Date Written: February 14, 2025

Abstract

Technological innovations enable privacy in payments, but pose a fundamental conflict between freedom and control. We study the design of privacy-enhanced payment systems with regards to identity and transaction privacy. In our model, privacy is valued by users making legitimate transactions, but can be exploited by malicious actors for illicit financial activities with technologies that obfuscate their illicit nature. When these technologies are fixed, the optimal design can be complex in the sense that transaction privacy is provided to disjoint intervals of payment volume tailored around the technologies. However, when unlawful users can innovate their technologies, the optimal robust design is characterized by two simple features: an identity requirement and transaction privacy up to a threshold of payment volume. Our framework can be applied to compare a variety of payment systems, from legacy payment systems to public blockchains and crypto tumblers, based on their privacy features and enforcement capabilities; we draw policy implications regarding payment system regulation and the design of central bank digital currencies.

Keywords: Privacy, payment systems, regulation, innovation, blockchain, robustness

JEL Classification: E41, E42, G20, G23, G28

Suggested Citation

Capponi, Agostino and Lee, Michael and Zhu, Brian, Privacy-Enhanced Payment Systems (February 14, 2025). Available at SSRN: https://ssrn.com/abstract=

Agostino Capponi

Columbia University - Department of Industrial Engineering and Operations Research ( email )

Michael Lee

Federal Reserve Banks - Federal Reserve Bank of New York ( email )

33 Liberty Street
New York, NY 10045
United States

Brian Zhu (Contact Author)

Columbia University - Department of Industrial Engineering and Operations Research ( email )

500 W. 120th Street #315
New York, NY 10027
United States

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