Capacity region of finite state multiple-access channel with delayed state information

A single-letter characterization is provided for the capacity region of finite-state multiple access channels, when the channel state is a Markov process, the transmitters have access to delayed state information, and channel state information is available at the receiver. The delays of the channel state information are assumed to be asymmetric at the transmitters. We apply the result to derive power control strategies to maximize the capacity region for finite-state additive Gaussian multiple access channels, and for the finite-state multiple-access fading channel.