We investigate the asymptotic density of living cells as dependent on
an initial density, the results of scattering of gliders on small stab
le configurations and the damage spreading in an open system, subjecte
d to a stream of gliders with the rules of the cellular automaton ''Ga
me of Life.'' We find that a damage increases approximately with the s
econd power of time through about the first ten steps; later its time
dependence becomes almost linear.