Game Theory and ApplicationsAuction Theory and ApplicationsConsumer Market Behavior and Pricing

Qianjun Lyu

2026.2.25RAND JOURNAL OF ECONOMICS

DOI: 10.1111/1756-2171.70046

Abstract

This article studies the optimal refund mechanism when an uninformed buyer learns about their valuation over time. We consider various refund mechanisms including simple return policies (no returns or free returns), and stochastic return policies, which allow the buyer to keep the product with some probability upon receiving a refund. We show that the optimal refund mechanism is deterministic and takes a simple form: either the seller deters buyer learning by offering a low price without returns, or encourages maximal learning by setting a high price with free returns. Interestingly, free returns are optimal only for intermediate prior beliefs.

Citation format

LYU, Qianjun. Optimal refund mechanism with consumer learning. RAND JOURNAL OF ECONOMICS, 2026, 57(1): 205–224.