How can firms persistently misoptimize, and how can they learn? A pricing reform forced firms to adjust most prices. Because consumers exhibit left-digit bias, optimal pricing implies setting prices just below round numbers and avoiding round prices. The initial response revealed that firms operated with partial knowledge, even in the long run. Partial knowledge enables mistakes to persist. At the same time, firms were able to learn, which highlights exploration as a way to improve and lack of exploration as fostering partial knowledge. This paper encourages researchers to treat firms’ misoptimization as a descriptive benchmark and urges practitioners to invest in learning processes.

More on this topic

BFI Working Paper·Jan 9, 2026

The Lending Technology of Direct Lenders in Private Credit

Young Soo Jang, Dasol Kim, and Amir Sufi
Topics: Fiscal Studies
BFI Working Paper·Jan 7, 2026

The Impacts of Parole Supervision

Luke Brinkman, Andrew Jordan, and Derek Neal
Topics: Economic Mobility & Poverty, Fiscal Studies
BFI Working Paper·Oct 21, 2025

Jealousy of Trade: Exclusionary Preferences and Economic Nationalism

Alex Imas, Kristóf Madarász, and Heather Sarsons
Topics: Fiscal Studies