  In the first part of this paper we have derived achievable transmission rates
for the (single-band) interference relay channel (IRC) when the relay
implements either the amplify-and-forward, decode-and-forward or
estimate-and-forward protocol. Here, we consider wireless networks that can be
modeled by a multi-band IRC. We tackle the existence issue of Nash equilibria
(NE) in these networks where each information source is assumed to selfishly
allocate its power between the available bands in order to maximize its
individual transmission rate. Interestingly, it is possible to show that the
three power allocation (PA) games (corresponding to the three protocols
assumed) under investigation are concave, which guarantees the existence of a
pure NE after Rosen [3]. Then, as the relay can also optimize several
parameters e.g., its position and transmit power, it is further considered as
the leader of a Stackelberg game where the information sources are the
followers. Our theoretical analysis is illustrated by simulations giving more
insights on the addressed issues.
