An algorithm for identifying least manipulable envy-free and budget-balanced allocations in economies with indivisibilities

被引:0
作者
Andersson, Tommy [1 ]
Ehlers, Lars [2 ,3 ]
机构
[1] Lund Univ, Dept Econ, Lund, Sweden
[2] Univ Montreal, Dept Sci Econ, CP 6128,Succursale Ctr Ville, Montreal, PQ H3C 3J7, Canada
[3] Univ Montreal, CIREQ, CP 6128,Succursale Ctr Ville, Montreal, PQ H3C 3J7, Canada
基金
加拿大魁北克医学研究基金会;
关键词
algorithm; budget‐ balance; envy‐ freeness; least manipulable; FAIR ALLOCATION; NO-ENVY; DIVISION; RULES; GOODS;
D O I
10.1111/ijet.12300
中图分类号
F [经济];
学科分类号
02 ;
摘要
We analyze the problem of allocating indivisible objects and monetary compensations to a set of agents. In particular, we consider envy-free and budget-balanced rules that are least manipulable with respect to agents counting or with respect to utility gains. A key observation is that, for any profile of quasi-linear preferences, the outcome of any such least manipulable envy-free rule can be obtained via so-called agent- k-linked allocations. Given this observation, we provide an algorithm for identifying agent- k-linked allocations.
引用
收藏
页码:50 / 60
页数:11
相关论文
共 31 条
[1]   Room assignment-rent division:: A market approach [J].
Abdulkadiroglu, A ;
Sönmez, T ;
Ünver, MU .
SOCIAL CHOICE AND WELFARE, 2004, 22 (03) :515-538
[2]   FAIR ALLOCATION OF INDIVISIBLE GOODS AND CRITERIA OF JUSTICE [J].
ALKAN, A ;
DEMANGE, G ;
GALE, D .
ECONOMETRICA, 1991, 59 (04) :1023-1039
[3]   Sequential rules for house allocation with price restrictions [J].
Andersson, Tommy ;
Svensson, Lars-Gunnar .
GAMES AND ECONOMIC BEHAVIOR, 2018, 107 :41-59
[4]   Budget balance, fairness, and minimal manipulability [J].
Andersson, Tommy ;
Ehlers, Lars ;
Svensson, Lars-Gunnar .
THEORETICAL ECONOMICS, 2014, 9 (03) :753-777
[5]   Least manipulable Envy-free rules in economies with indivisibilities [J].
Andersson, Tommy ;
Ehlers, Lars ;
Svensson, Lars-Gunnar .
MATHEMATICAL SOCIAL SCIENCES, 2014, 69 :43-49
[6]  
ARAGONES E, 1995, SOC CHOICE WELFARE, V12, P267
[7]  
Arunachaleswaran ER, 2019, Disc Algorithms, P1994
[8]  
Foley D. K., 1967, YALE ECON ESSAYS, V7, P45, DOI DOI 10.4324/9780203009826
[9]   Maximal manipulation of envy-free solutions in economies with indivisible goods and money [J].
Fujinaka, Yuji ;
Wakayama, Takuma .
JOURNAL OF ECONOMIC THEORY, 2015, 158 :165-185
[10]   Which Is the Fairest (Rent Division) of Them All? [J].
Gal, Ya'akov ;
Mash, Moshe ;
Procaccia, Ariel D. ;
Zick, Yair .
JOURNAL OF THE ACM, 2017, 64 (06)