Many models in operations management assume that faced with excess inventory, retailers offer price discounts to increase sales. This discount is assumed to be a certain dollar amount per unit or a certain percent of the regular price. However, many retailers use nonlinear pricing, e.g. "Buy...

"Buy-one-get-one" (BOGO) promotions have become very popular among many retailers. With BOGO, the first unit of the product is sold for the regular price and if a consumer buys a second unit, then it is discounted by some percentage or it may be free. We analyze BOGO promotions in a...