Cooperation in multiple access channels in the presence of partial state information

We investigate the capacity of a multiple access channel with cooperating encoders where partial state information is known to each encoder in a non-causal way and full state information is known to the decoder. The cooperation between the encoders has a two-fold purpose: to generate empirical state coordination between the encoders, and to share information about the private messages that each encoder has. For two-way cooperation, this two-fold purpose is achieved by double-binning, where the first layer of binning is used to generate the state coordination similarly to the two-way source coding, and the second layer of binning is used to transmit information about the private messages. The complete result provides the framework and perspective for addressing a complex level of cooperation that mixes states and messages in an optimal way. We present few examples and compare the optimal coding scheme that combines the message and the state to naive cooperation schemes that are based on separate message and state coding.