that is most profitable. This requires in particular that the firm holds no private informa-
tion about the value of the match. The analysis presented in this subsection follows this
modeling strategy.
In much of the following discussion, I use a setting where a monopoly seller produces
a good with constant marginal cost c 2 0,1½Þ. For simplicity of exposition, there is only
one buyer, who has unit demand. The buyer’s willingness to pay is r 0, which is the
realization of a random variable. Initially, r is unknown to both parties but it is common
knowledge that it has a uniform distribution on [0,1].
4.3.3.1 Direct Information About Experience Goods
The early contributions on the transmission of match information (
Lewis and
Sappington, 1994; Meurer and Stahl, 1994
) assume that consumers cannot acquire
pre-purchase information about products through their own endeavor. This is consistent
with the classification of products as experience goods in
Nelson (1970). Still, in contrast
to Nelson’s view, it is assumed that the disclosed product information is directly available
in the ad and is credible. Following the literature, I assume that this credibility is achieved
through certification.
20
Typically, laws on misleading advertising may achieve this as long
as the claims can be verified by a court.
21
A stripped-down version of Lewis and Sappington (1994) may be presented in the
simple monopoly setting above. Before the buyer decides whether to purchase the prod-
uct or not, the firm announces a price and, if it so chooses, provides some product infor-
mation. If it provides such information, the buyer observes a signal σ 2 0, 1½, which is
equal to her true valuation r with probability α and is uniform on [0,1] independent
of r with the complementary probability 1 α. In short, the buyer learns r perfectly with
probability α and learns nothing otherwise but does not know which situation she is in.
Then the larger α is, the more informative is the ad.
From the standard uniform distribution, the prior expected value of the match is 1/2.
After observing the signal σ, the buyer’s expected willingness to pay is ασ +1=21α
ðÞ
.
This expected willingness to pay is increasing in α if σ > 1=2 and decreasing in α if
σ < 1=2.
Figure 4.2 shows the inverse demand curve given the posterior beliefs of the
buyer, where price, p, is on the vertical axis and the probability that the product is pur-
chased, q, is on the horizontal axis. As demonstrated by
Johnson and Myatt (2006), the
firm’s problem may be analyzed graphically by letting the inverse demand curve pivot
around the point A in the figure with coordinates (1/2,1/2). Indeed, if the firm sells with
probability q < 1=2, it charges a price above 1/2, because of the standard uniform
20
As should become clear from my discussion of cheap talk in Section 4.3.5.1, in the models discussed in this
subsection, information could be credible even without certification.
21
Lewis and Sappington (1994) actually mention other possible ways of transmitting credible information
like allowing consumers to test the product themselves.
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Advertising in Markets