  We consider an energy harvesting multiple access channel (MAC) where the
transmitters are powered by an exogenous stochastic energy harvesting process
and equipped with finite batteries. We characterize the capacity region of this
channel as n-letter mutual information rate and develop inner and outer bounds
that differ by a constant gap. An interesting conclusion that emerges from our
results is that the sum-capacity approaches that of a standard AWGN MAC (with
only an average constraint on the transmitted power), as the number of users in
the MAC becomes large.
