Inapproximability Results for Combinatorial Auctions with Submodular Utility Functions

被引：0

作者：

Subhash Khot

Richard J. Lipton

Evangelos Markakis

Aranyak Mehta

机构：

[1] Georgia Institute of Technology,Dept. of Computer Science

[2] Telcordia Research,undefined

[3] University of Toronto,undefined

[4] IBM Almaden Research Center,undefined

来源：

Algorithmica | 2008年 / 52卷

关键词：

Combinatorial auctions; Submodular; Social welfare; Hardness of approximation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider the following allocation problem arising in the setting of combinatorial auctions: a set of goods is to be allocated to a set of players so as to maximize the sum of the utilities of the players (i.e., the social welfare). In the case when the utility of each player is a monotone submodular function, we prove that there is no polynomial time approximation algorithm which approximates the maximum social welfare by a factor better than 1−1/e≃0.632, unless P=NP. Our result is based on a reduction from a multi-prover proof system for MAX-3-COLORING.

引用

页码：3 / 18

页数：15

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