  In this paper, we consider hybrid uplink nonorthogonal multiple access (NOMA)
that can support more users by exploiting the notion of power-domain NOMA. In
hybrid uplink NOMA, we do not consider centralized power control as a base
station (BS) needs instantaneous channel state information (CSI) of all users
which leads to a high signaling overhead. Rather, each user is allowed to
perform power control under fading in accordance with a truncated channel
inversion power control policy. Due to the lack of coordination of centralized
power control, users in the same resource block compete for access. To analyze
users' behavior, evolutionary game can be considered so that each user can
choose transmission strategies to maximize payoff in hybrid uplink NOMA with
power control. Evolutionarily stable strategy (ESS) is characterized with fixed
costs as well as costs that depend on channel realizations, and it is also
shown that hybrid uplink NOMA can provide a higher throughput than orthogonal
multiple access (OMA). To update the state in evolutionary game for hybrid
uplink NOMA, the replicator dynamic equation is considered with two possible
implementation methods.
