of W’s who listen to radio is independent of the number of B’s. This is not because the W’s
do not listen to b stations. Rather, it is because the extra b stations crowd out w ones at
exactly the rate that keeps overall W listening the same. As noted above, this is an artifact
of assuming valuation symmetry. If instead other-side valuations were less than s, then
there would be fewer W listeners as M
B
rose. The reason is the dominant crowd-out effect.
Put another way, negative cross preference externalities go hand-in-hand with decreasing
listener shares. Regardless, the prediction for own-side presence is that more listen: the
presence of more W’s increases the equilibrium fraction of W’s who listen.
1.4. EMPIRICAL RESULTS: FACTS RELEVANT TO PREDICTIONS ...