Optimizing Social Welfare in Social Networks

被引：4
|
作者：
Lange, Pascal [1 ]
Rothe, Joerg [1 ]
机构：
[1] Heinrich Heine Univ Dusseldorf, Inst Informat, Dusseldorf, Germany
来源：
ALGORITHMIC DECISION THEORY (ADT 2019) | 2019年 / 11834卷
关键词：
Fair division; Social welfare optimization; Social network; ALLOCATION;
D O I：
10.1007/978-3-030-31489-7_6
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
We study the computational complexity of envy minimization and maximizing the social welfare of graph-envy-free allocations in social networks. Besides the already known NP-completeness of finding allocations with maximal utilitarian social welfare we prove that NP-completeness is in general also given for the egalitarian social welfare and the Nash product. Moreover, we focus on an extended model, based on directed social relationship graphs and undirected social trading graphs, and analyze the computational complexity of reaching a graph-envy-free allocation by trades with so-called don't care agents and without money.
引用
收藏
页码：81 / 96
页数：16
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