Title: The Impact of Small-Cell Bandwidth Requirements on Strategic Operators,
Abstract: Small-cell deployment in licensed and unlicensed spectrum is considered to be
one of the key approaches to cope with the ongoing wireless data demand
explosion. Compared to traditional cellular base stations with large
transmission power, small-cells typically have relatively low transmission
power, which makes them attractive for some spectrum bands that have strict
power regulations, for example, the 3.5GHz band [1]. In this paper we consider
a heterogeneous wireless network consisting of one or more service providers
(SPs). Each SP operates in both macro-cells and small-cells, and provides
service to two types of users: mobile and fixed. Mobile users can only
associate with macro-cells whereas fixed users can connect to either macro- or
small-cells. The SP charges a price per unit rate for each type of service.
Each SP is given a fixed amount of bandwidth and splits it between macro- and
small-cells. Motivated by bandwidth regulations, such as those for the 3.5Gz
band, we assume a minimum amount of bandwidth has to be set aside for
small-cells. We study the optimal pricing and bandwidth allocation strategies
in both monopoly and competitive scenarios. In the monopoly scenario the
strategy is unique. In the competitive scenario there exists a unique Nash
equilibrium, which depends on the regulatory constraints. We also analyze the
social welfare achieved, and compare it to that without the small-cell
bandwidth constraints. Finally, we discuss implications of our results on the
effectiveness of the minimum bandwidth constraint on influencing small-cell
deployments.