earlier, in the context of the Hotelling model, the MHCs will be those in the middle of
the market. The less valuable these are (e.g., the lower the value of a second ad impres-
sion), the further apart will platforms locate in equilibrium, and the worse off are the
multi-homers.
Athey et al. (2014) discuss the supply of multiple content in a model of
decreasing return per impression and imperfect tracking of viewer behavior. They show
that a reduction of supply by one platform may lead the other platform to expand its sup-
ply. This points to a potential free-rider issue insofar as investment by one platform to
reduce the multi-homing demand benefits all platforms.
2.5.1 Free-Entry Analysis
Classic analysis of long-run equilibrium with oligopoly or monopolistic competition
closes the model with a free-entry condition, which is often taken as a zero-profit con-
dition for symmetric firms. Equilibrium product variety is then described by the number
of products in the market. This can be compared to optimal product variety to discern
market failures in the overall range of diversity provided by markets. Following
Spence
(1976)
, the market delivers excessive product variety when the negative externality on
other firms of entry (the “business-stealing” effect) dominates the positive externality on
consumers from having better-matched products and lower prices.
The canonical models that are usually analyzed are the CES representative consumer
model, the
Vickrey (1964) –Salop (1979) circle model, and “random utility” discrete-
choice models such as the logit. We concentrate on the latter two because they derive
from explicit micro-underpinnings for individual consumers.
Consider first the mixed-finance context, whereby both subscription prices and
advertising are used. Then, the characterization of the start of
Section 2.3 applies so that
platforms’ ad choices satisfy R
0
aðÞ¼γ. As we noted earlier, the implication for subscrip-
tion pricing is analogous to there being a negative marginal cost. Therefore, for the class
of models that assume fully covered markets and symmetric firms, because cost levels do
not affect equilibrium profits, the market equilibrium is fully independent of the adver-
tising demand. The implication is that equilibrium product variety is not impacted by the
advertiser demand strength. This strong decoupling result implies that the standard
Vickrey–Salop analysis goes through: there is excessive variety in equilibrium (see
Choi, 2006, for the statement in the media context). The same remark applies to other
covered market models (e.g., discrete-choice random utility models with covered mar-
kets). This decoupling is somewhat disconcerting for both the positive and the normative
analysis, but the problem is really the assumption that the market is fully covered. While
the circle model cannot be easily relaxed (apart from the trivial expedient of introducing
low consumer reservation prices and hence local monopolies), the discrete-choice model
can allow for uncovered markets through “outside” options, and this reconnects equi-
librium variety to advertising demand strength.
84 Handbook of Media Economics