
in the examples above, the equilibria that do not involve full disclosure require a proper
specification of the probability distribution of product types and consumer types. Second,
as shown by
Koessler and Renault (2012), there exists a class of match functions that
are consistent with some horizontal matching, such that the unique outcome is full
information disclosure independent of the probability distribution over types.
To illustrate, consider the following example adapted from
Koessler and Renault
(2012)
. A firm sells a video game whose type is either s
1
or s
2
. Buyers may be ranked
according to how many hardcore or casual players there are in