Template-Type: ReDIF-Paper 1.0 Title: A Dynamic Theory of Random Price Discounts Author-Name: Francesc Dilmé Author-Email: fdilme@uni-bonn.de Author-Name: Daniel F. Garrett Author-Email: d.garrett@essex.ac.uk Classification-JEL: D82 Keywords: dynamic pricing, sales, random mechanisms Abstract: A seller with commitment power sets prices over time. Risk‐averse buyers arrive to the market and decide when to purchase. We show that it is optimal for the seller to choose a constant high price punctuated by occasional episodes of sequential discounts that occur at random times. This optimal price path has the property that the price a buyer ends up paying is independent of his arrival and purchase times, and only depends on his valuation. Our theory accommodates empirical findings on the timing of discounts. Note: Length: 45 Creation-Date: 2025-05 Revision-Date: File-URL: https://www.crctr224.de/research/discussion-papers/archive/dp688 File-Format: application/pdf Handle: RePEc:bon:boncrc:CRCTR224_2025_688