NDLI: On profit-maximizing envy-free pricing

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On profit-maximizing envy-free pricing

Content Provider	ACM Digital Library
Author	Kempe, David Hartline, Jason D. Kenyon, Claire Karlin, Anna R. Guruswami, Venkatesan McSherry, Frank
Abstract	We study the problem of pricing items for sale to consumers so as to maximize the seller's revenue. We assume that for each consumer, we know the maximum amount he would be willing to pay for each bundle of items, and want to find pricings of the items with corresponding allocations that maximize seller profit and at the same time are envy-free, which is a natural fairness criterion requiring that consumers are maximally happy with the outcome they receive given the pricing. We study this problem for two important classes of inputs: unit demand consumers, who want to buy at most one item from among a selection they are interested in, and single-minded consumers, who want to buy one particular subset, but only if they can afford it.We show that computing envy-free prices to maximize the seller's revenue is APX-hard in both of these cases, and give a logarithmic approximation algorithm for them. For several interesting special cases, we derive polynomial-time algorithms. Furthermore, we investigate some connections with the corresponding mechanism design problem, in which the consumer's preferences are private values: for this case, we give a log-competitive truthful mechanism.
Starting Page	1164
Ending Page	1173
Page Count	10
File Format	PDF
ISBN	0898715857
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2005-01-23
Access Restriction	Subscribed
Content Type	Text
Resource Type	Article

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