  We argue that moduli stabilization generically restricts the evolution
following transitions between weakly coupled de Sitter vacua and can induce a
strong selection bias towards inflationary cosmologies. The energy density of
domain walls between vacua typically destabilizes Kahler moduli and triggers a
runaway towards large volume. This decompactification phase can collapse the
new de Sitter region unless a minimum amount of inflation occurs after the
transition. A stable vacuum transition is guaranteed only if the inflationary
expansion generates overlapping past light cones for all observable modes
originating from the reheating surface, which leads to an approximately flat
and isotropic universe. High scale inflation is vastly favored. Our results
point towards a framework for studying parameter fine-tuning and inflationary
initial conditions in flux compactifications.
