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A new single-letter achievable rate region is proposed for the two-userdiscrete memoryless multiple-access channel(MAC) with noiseless feedback. Theproposed region includes the Cover-Leung rate region [1], and it is shown thatthe inclusion is strict. The proof uses a block-Markov superposition strategybased on the observation that the messages of the two users are correlatedgiven the feedback. The rates of transmission are too high for each encoder todecode the other's message directly using the feedback, so they transmitcorrelated information in the next block to learn the message of one another.They then cooperate in the following block to resolve the residual uncertaintyof the decoder. The coding scheme may be viewed as a natural generalization ofthe Cover-Leung scheme with a delay of one extra block and a pair of additionalauxiliary random variables. We compute the proposed rate region for twodifferent MACs and compare the results with other known rate regions for theMAC with feedback. Finally, we show how the coding scheme can be extended toobtain larger rate regions with more auxiliary random variables.

A New Achievable Rate Region for the Discrete Memoryless Multiple-Access Channel with Noiseless Feedback