Technical Report: Achievable Rates for the MAC with Correlated   Channel-State Information
  In this paper we provide an achievable rate region for the discrete memoryless multiple access channel with correlated state information known non-causally at the encoders using a random binning technique. This result is a generalization of the random binning technique used by Gel'fand and Pinsker for the problem with non-causal channel state information at the encoder in point to point communication. 
Tal Philosof, Ram Zamir and Uri Erez