A two‐stage multi‐period negotiation model with reference price effect

In this article, we consider the revenue management problem of firms with customers who use historical pricing data to make their purchasing decision. This behavior is modeled using the concept of reference price, which quantifies customers’ perceived ‘fair value’ of a product. We consider a segmented market consisting of two types of customers. One segment uses all price history to form a reference point and the other only uses the current price to do so. We study the revenue maximization problem of a firm who offers a two‐price scheme in this market and derive closed form analytical solutions. Finally, we extend the monopoly model to a duopoly setting, and provide a numerical analysis on the added value of offering a two‐price scheme compared to a single‐price scheme and suggest a novel interpretation of such segmentation regime.