A graph-based approach to inequality assessment

被引：5

作者：

Palestini, Arsen ^{[1
]}

Pignataro, Giuseppe ^{[2
]}

机构：

[1] Univ Roma La Sapienza, MEMOTEF, Rome, Italy

[2] Univ Bologna, Dept Econ, Bologna, Italy

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2016年 / 455卷

关键词：

Graph theory; Inequality; Policy; Atkinson index; POPULATION SUBGROUPS; SHAPLEY VALUE; BANZHAF VALUE; DECOMPOSITION; GAMES; POOR; RICH;

D O I：

10.1016/j.physa.2016.03.001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In a population consisting of heterogeneous types, whose income factors are indicated by nonnegative vectors, policies aggregating different factors can be represented by coalitions in a cooperative game, whose characteristic function is a multi-factor inequality index. When it is not possible to form all coalitions, the feasible ones can be indicated by a graph. We redefine Shapley and Banzhaf values on graph games to deduce some properties involving the degrees of the graph vertices and marginal contributions to overall inequality. An example is finally provided based on a modified multi-factor Atkinson index. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：65 / 78

页数：14

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