Three Categories of Mixed Bundling Cases
Mixed bundling is one of the hottest topics in antitrust, not just since LePage’s. There are essentially three categories of mixed bundling cases, only one of which should be controversial.
- X makes two products, A and B. The marginal costs of making A and B are $1/unit. In the market for product A, X enjoys significant market power. In the market for product B it doesn’t. Among others, X competes with Y, who only sells product B. Y’s costs are identical to those of X. If purchased separately, X sells product A for $2 and B for $1.50. If purchased in a bundle, X sells product A for $1.50 and B for $0.90. Assuming that recoupment is possible, that’s a rather straightforward case of predatory pricing with respect to product B as $0.90 - $1 < 0.
- Now suppose that X sells A for $1.50 and B for $1.10 in a bundle. In both markets, X’s prices are above cost and a straightforward predatory pricing claim by Y fails. That’s where the first rule specific to mixed bundling kicks in: All discounts for all products in the bundle must be applied to the product in the market in which X and Y compete, here the market for B. X’s discount in market A is $.50 and in B is $0.40 for a total discount of $0.90. Applying the total discount to B, we arrive at a price of $0.60 ($1.50 - $0.90), which is below the cost of making B ($1). On the basis of the “aggregated discount” rule, Y may bring a predatory pricing claim against X.
- What if X sells A for $1.80 and B for $1.30 in a bundle? No straightforward predatory pricing as $1.80 > $1 (market for product A) and $1.30 > $1 (market for product B). Also no predatory pricing on the basis of the aggregated discount rule: $1.50 - ($0.20 + $0.20) = $1.10. And, evidently, $1.10 - $1 > 0. This case, and only this case, should be at the heart of the recent controversy. The question is: Can these above cost bundles violate ยง2?
Here is a table, summarizing the three categories:
| Case | Price-Cost | Outcome |
| (1) | A<0 and/or B<0 | Predatory pricing |
| (2) | A>0 and B<0, after aggregation | Predatory pricing, after aggregation. SmithKline, Ortho. |
| (3) | A>0 and B>0, after aggregation | Unclear. LePage’s |
- Expand the time horizon. Short term, customers will benefit from mixed bundles, because mixed bundles result in lower prices for all three relevant customer groups: those who only buy B, those who only buy A, and those who buy both A and B. But long term they will suffer from a lack of options and resulting higher prices. Given our inability to make reasonable long term predictions, this argument faces the same problems as other recoupment stories, and on its own is probably rather weak.
- Include variety into the definition of consumer welfare. What makes above-cost bundling seem innocuous from a consumer welfare perspective is the almost exclusive focus on price. But retarding the growth of Y in market B by A’s cross-subsidies may well lead to diminished consumer choice not just in the long run. For some homogenous products, that probably doesn’t matter much. But I can think of markets in which I value the availability of choices more than price.









February 6th, 2006 at 3:05 pm
[…] Shouldn’t Apple be offering mixed bundles instead of short-lived iPods? You can also bookmark this on del.icio.us or check the cosmos […]
February 17th, 2006 at 12:20 pm
[…] In his post on mixed bundling, Hanno distinguished three categories of mixed bundling: cases in which price is below (average variable) cost for both products, cases in which the competitive product is priced below cost after the bundling discount has been applied to price of the competive product, and cases in which the bundling discount will leave the price of the competitive product at or above cost, even after the entire discount has been applied to the competive product. This last category is the interesting one, and the one on which the debate around the LePage’s decision focuses. […]