With the development of the Internet and E-commerce, retailers often offer pre-orders for new to-be-released products. To encourage pre-orders, retailers such as Amazon offer pre-order price guarantee (PG). That is, if the product price drops before or on the release date, pre-order consumers...

Is demand uncertainty a devil? A conventional thought is that demand uncertainty hurts a seller's profit. However, we show that demand uncertainty could favor a seller if the pricing mechanism is designed properly. Specifically, we study the optimal pricing strategy in advance selling with both...

In the mobile video games industry, in-app purchases are a major source of revenue. A common in-app purchase is for additional "moves" or "time" in puzzle games. We call these in-app purchases "bonus actions". In some games, bonus actions can only be purchased in advance of attempting a level of...

A model of new-product adoption is proposed that incorporates price and advertising effects. An optimal control problem that uses the model as its dynamics is solved explicitly to obtain the optimal price and advertising effort over time. The model has a great potential to be used in obtaining...