My wife and I just got back from holiday in Europe, and stopped in the duty-free store at Auckland Airport to pick up some bottles of gin for my mother-in-law. The price was $45 for one bottle, $69 for two bottles, or $95 for three bottles.
Standard block pricing (as described in this post) calls for the seller to sell at a declining marginal price per unit. In this case, the first bottle is $45, and the second bottle is $24 (for a total of $69 for two bottles). However, the third bottle is $26 (for a total of $95 for three bottles). Did the duty-free store get its block pricing wrong?
Certainly, their pricing is inconsistent with the standard block pricing story, because the third bottle should be less expensive (or, at least, not more expensive) than the second bottle. However, as Nobel Prize winner George Stigler noted, the pricing strategies that we see in the real world are likely to be those that work fairly well (otherwise, the strategy wouldn't persist and we wouldn't see them). So, there must be something about this pricing strategy that makes it work.
I think that the duty-free store is doing a bit of a mix of block pricing and menu pricing. Menu pricing is a form of price discrimination, where consumers sort themselves into those who are high-demand consumers and low-demand consumers. Low-demand consumers buy one bottle (or perhaps two), and pay a relatively high price per unit, while high-demand consumers buy three bottles and pay a lower price per unit.
Now, as I noted in this post, block pricing doesn't typically work when there is heterogeneous demand, because low-demand consumers are unaffected by block pricing (they buy the same quantity as if there was no block pricing), while high-demand consumers may buy more of the good, but spend less overall (because of the lower price per unit). The duty-free store avoids this negative outcome because consumers can only buy three bottles of gin duty-free. If they buy any more than that, they have to pay duty on the additional bottles. So, that effectively caps the number of bottles that high-demand consumers can buy to three. So, the high-demand consumers are stopped from buying four, or five, or six, or twenty bottles at the lower price. That means that the high-demand consumers may buy more bottles than if there wasn't block pricing, but they don't end up spending less overall.
That also helps explain why the third bottle can be priced a little higher than the second. A plausible interpretation is that the two-bottle deal is designed to attract moderate-demand consumers, while the three-bottle deal is aimed at the highest-demand consumers who are constrained by the duty-free limit. If that is the case, then the store does not need the third bottle to be cheaper than the second. Instead, it needs the three-bottle bundle to be attractive to a different group of buyers than the two-bottle bundle or a single bottle. Again, this points to menu pricing as part of the explanation.
So, while the duty-free store isn't conducting block pricing exactly as I describe in my ECONS101 class, we can nevertheless puzzle out what they are doing. And it makes sense, even if it is surprising to see a seller that is able to use block pricing when there is heterogeneous demand.
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