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2010

The Submodular Welfare Problem with Demand Queries

9 years 4 months ago
The Submodular Welfare Problem with Demand Queries
: We consider the Submodular Welfare Problem where we have m items and n players with given utility functions wi : 2[m] R+. The utility functions are assumed to be monotone and submodular. We want to find an allocation of disjoint sets of items (S1,S2,...,Sn) maximizing i wi(Si). A (1 - 1/e)-approximation for this problem in the demand oracle model has been given by Dobzinski and Schapira [5]. We improve this algorithm by presenting a (1-1/e+)-approximation for some small fixed > 0. We also show that the Submodular Welfare Problem is NP-hard to approximate within a
Uriel Feige, Jan Vondrák
Added 22 May 2011
Updated 22 May 2011
Type Journal
Year 2010
Where TOC
Authors Uriel Feige, Jan Vondrák
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