  Contributed talk at the Seventh Marcel Grossman Meeting on Gravity, June
24-30. A theory of evolution of the universe requires both a mutation mechanism
and a selection mechanism. We believe that both can be encountered in the
stochastic approach to quantum cosmology. In Brans-Dicke chaotic inflation, the
quantum fluctuations of Planck mass behave as mutations, such that new
inflationary domains may contain values of Planck mass that differ slightly
from their parent's. The selection mechanism establishes that the value of
Planck mass should be such as to increase the proper volume of the inflationary
domain, which will then generate more offsprings. This mechanism predicts that
the effective Planck scale at the end of inflation should be much larger than
any given scale in the model.
