Title
Limits on the Social Welfare of Maximal-In-Range Auction Mechanisms
Abstract
Many commonly-used auction mechanisms are "maximal-in-range". We show that any maximal- in-range mechanism for n bidders and m items cannot both approximate the social welfare with a ratio better than min(n;m ) for any constant < 1=2 and run in polynomial time, unless NP P=poly. This significantly improves upon a previous bound on the achievable social welfare of polynomial time maximal-in-range mechanisms of 2n=(n + 1) for constant n. Our bound is tight, as a min(n;2m1=2) approximation of the social welfare is achievable.
Year
Venue
Keywords
2009
Electronic Colloquium on Computational Complexity (ECCC)
polynomial time,social welfare
Field
DocType
Volume
Discrete mathematics,Combinatorics,Time complexity,Mathematics,Social Welfare
Journal
16
Citations 
PageRank 
References 
3
0.41
5
Authors
2
Name
Order
Citations
PageRank
David Buchfuhrer1202.18
Christopher Umans287955.36