State-dependent multiple access channels with feedback

In this paper, we examine discrete memoryless Multiple Access Channels (DM-MACs) with feedback in the presence of two correlated channel states, each known to one encoder. Depending on feedback is two-sided or one-sided and also states are known to the transmitters non-causally or causally or strictly causally, we have six scenarios. Therefore, we present six achievable rate regions for these six scenarios by combining block Markov encoding, superposition coding and Gelf'and-Pinsker binning. We also show that our achievable rate region for the two-sided feedback and non-causal states subsumes Cover-Leung's achievable rate region for the DM-MAC with two-sided feedback as its special case.