This is an announcement for the paper "A discretized approach to W.T. Gowers' game" by V. Kanellopoulos and K. Tyros. Abstract: We give an alternative proof of W.T. Gowers' theorem on block bases in Banach spaces by reducing it to a discrete analogue on specific countable nets. Archive classification: math.FA math.CO Mathematics Subject Classification: 05D10, 46B03 Remarks: 12 pages The source file(s), discrgame.tex: 54985 bytes, is(are) stored in gzipped form as 0904.2313.gz with size 15kb. The corresponding postcript file has gzipped size 107kb. Submitted from: ktyros@central.ntua.gr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0904.2313 or http://arXiv.org/abs/0904.2313 or by email in unzipped form by transmitting an empty message with subject line uget 0904.2313 or in gzipped form by using subject line get 0904.2313 to: math@arXiv.org.