We study the relation between the discrete-time version of the flashing ratchet known as Parrondo's games and a compression technique used very recently with thermal ratchets for evaluating the transfer of information -
negentropy - between the Brownian particle and the source of fluctuations. We present some results concerning different versions of Parrondo's games, showing all of them a good qualitative agreement between the gain and
the inverse of the entropy.