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¡¡Option package bundling problems arise if there is an optional good, which
is valuable only if a certain (non-optional) base good is consumed together.
A firm that produces both types of goods then faces the decision of whether
to sell them only in a package (pure bundling), or to sell base goods both
with or without optional goods, leaving the choice of consuming them
together to buyers (mixed bundling). We study a model of a monopolist's
option package bundling problem, in which the monopolist produces base and
optional ones, with no marginal costs, and buyers' valuations are
independently and uniformly distributed. We derive the optimal bundling
prices, and verify that mixed bundling outperforms pure bundling if and only
if the range of optional good valuation exceeds a certain size. We argue
that the result is robust except in the case where the marginal cost is
higher than the lowest valuation for an optional good. This suggests an
interesting testable implication: the smaller the diversity of the valuation
of an optional good, the more likely that the monopolist adopts pure
bundling.
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