Abstract: The embodiments described herein can provide systems and methods utilize competitive history data to provide improved pricing recommendations for sellers. This competitive history data can include a time series of one or more competitor's prices for a set of products. This use of competitive history data to provide improved pricing recommendations to sellers introduces significant non-convexity to the determination of pricing recommendations. Accordingly, the systems and methods described herein employ a variety of technical approaches to generating the price recommendations in light of this introduced complexity. Additionally, the systems and methods employ various techniques to providing these price recommendations even when competitive history data is limited. Specifically, by using the limited to competitive history data to generate constraints, where the constraints can then be used for additional price optimizations where competitive history data is unavailable.