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Manfred comments on Open thread, Jan. 26 - Feb. 1, 2015 - Less Wrong Discussion
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Sublinear pricing.
Many products are being sold that have substantial total production costs but very small marginal production costs, e.g. virtually all forms of digital entertainment, software, books (especially digital ones) etc.
Sellers of these products could set the product price such that the price for the (n+1)th instance of the product sold is cheaper than the price for the (n)th instance of the product sold.
They could choose a convergent series such that the total gains converge as the number of products sold grows large (e.g. price for nth item = exp(-n) + marginal costs )
They could choose a divergent series such that the total gains diverge (sublinearly) as the number of products sold grows large (e.g. price for nth item = 1/n + marginal costs )
Certainly, this reduces the total gains, but any seller who does it would outcompete sellers who don't. And yet, it doesn't seem to exist.
True, many sellers do reduce prices after a certain amount of time has passed, and the product is no longer as new or as popular as it once was, but that is a function of time passed, not of items sold.
For the practical real-world analogue of this, look up price discrimination strategies.
Anyhow, this doesn't work out very well for a number of reasons. In short antiprediction form, there's no particular reason why price discrimination should be monotonic in time, and so it almost certainly shouldn't.