  In many communication networks, the availability of channel state information
at various nodes provides an opportunity for network nodes to work together, or
"cooperate." This work studies the benefit of cooperation in the multiple
access channel with a cooperation facilitator, distributed state information at
the encoders, and full state information available at the decoder. Under
various causality constraints, sufficient conditions are obtained such that
encoder cooperation through the facilitator results in a gain in sum-capacity
that has infinite slope in the information rate shared with the encoders. This
result extends the prior work of the authors on cooperation in networks where
none of the nodes have access to state information.
