The Price of Fairness

被引:426
作者
Bertsimas, Dimitris [1 ]
Farias, Vivek F. [1 ]
Trichakis, Nikolaos [1 ]
机构
[1] MIT, Ctr Operat Res, Cambridge, MA 02139 USA
关键词
OPTIMIZATION; EFFICIENCY;
D O I
10.1287/opre.1100.0865
中图分类号
C93 [管理学];
学科分类号
12 ; 1201 ; 1202 ; 120202 ;
摘要
In this paper we study resource allocation problems that involve multiple self-interested parties or players and a central decision maker. We introduce and study the price of fairness, which is the relative system efficiency loss under a "fair" allocation assuming that a fully efficient allocation is one that maximizes the sum of player utilities. We focus on two well-accepted, axiomatically justified notions of fairness, viz., proportional fairness and max-min fairness. For these notions we provide a tight characterization of the price of fairness for a broad family of problems.
引用
收藏
页码:17 / 31
页数:15
相关论文
共 41 条
[1]  
Bertsekas D., 1987, DATA NETWORKS
[2]   The air traffic flow management problem with enroute capacities [J].
Bertsimas, D ;
Patterson, SS .
OPERATIONS RESEARCH, 1998, 46 (03) :406-422
[3]   The traffic flow management rerouting problem in air traffic control: A dynamic network flow approach [J].
Bertsimas, D ;
Patterson, SS .
TRANSPORTATION SCIENCE, 2000, 34 (03) :239-255
[4]  
BERTSIMAS D, 2009, MULTIACCOUNT PORTFOL
[5]  
BERTSIMAS D, 2009, DESIGNING EQUITABLE
[6]  
Bertsimas Dimitris, 1997, Introduction to linear optimization, V6
[7]  
Bonald T., 2001, Performance Evaluation Review, V29, P82, DOI 10.1145/384268.378438
[8]   Fairness versus efficiency in charging for the use of common facilities [J].
Butler, M ;
Williams, HP .
JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY, 2002, 53 (12) :1324-1329
[9]  
CHAKRABARTY D, 2009, SOME COMPUTATIONAL G
[10]  
Fabozzi FJ., 2007, ROBUST PORTFOLIO OPT