Parrondo\'s games and the zipping algorithm

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, for each
case, a good qualitative agreement between the gain and the inverse of
the entropy.