  Wireless power transfer (WPT) is a promising technology for powering up
distributed devices in machine type networks. Over the last decade magnetic
resonant coupling (MRC) received significant interest from the research
community, since it is suitable for realizing mid-range WPT. In this paper, we
investigate the performance of a single cell MRC-WPT network with multiple
receivers, each equipped with an electromagnetic coil and a load. We first
consider pre-adjusted loads for the receivers and by taking into account
spatial randomness, we derive the harvesting outage probability of a receiver;
for both the strong and loosely coupling regions. Then, we develop a
non-cooperative game for a fixed receiver topology, in order to acquire the
optimal load which maximizes each receiver's harvested power. Throughout our
work, we obtain insights for key design parameters and present numerical
results which validate our analysis.
