Dynamic pricing over multiple rounds of spectrum leasing for dynamic spectrum access with continuous spectrum demand

In this paper, the problem of dynamic pricing over multi-round spectrum leasing is studied when the demand is continuous. Monopoly spectrum leasing with one primary user and multiple secondary users is considered, and multiple rounds (stages) of spectrum leasing is performed in order to satisfy the request of secondary users arriving in different time. In each round, one price is set separately, and the spectrum demand which is driven by the price, is a continuous variable and can be random and non-random. Optimization problems are formulated to maximize the total revenue, which is comprised of price and the demand for spectrum in each round, when the demand is random or not. Solution and special properties, such as the monotonicity, convexity of the maximal total revenue, optimal demand or optimal price, are developed for the cases when spectrum demand is random or non-random. Numerical results are presented to verify the research findings.