Smooth inequality measurement: Approximation theorems

Michel Le Breton; Eugenio Peluso

doi:10.1016/j.jmateco.2010.02.005

Smooth inequality measurement: Approximation theorems

Michel Le Breton
, Eugenio Peluso

Research output: Contribution to journal › Article › peer-review

Abstract

The main purpose of this paper is to prove that smoothness is not a restrictive assumption in inequality measurement as any inequality measure (preorder) can be approximated in a well defined sense by a smooth inequality measure (preorder).

Original language	English
Pages (from-to)	405-415
Number of pages	11
Journal	Journal of Mathematical Economics
Volume	46
Issue number	4
DOIs	https://doi.org/10.1016/j.jmateco.2010.02.005
Publication status	Published - Jul 2010
Externally published	Yes

Keywords

Approximation
Inequality measurement
Schur-convexity

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10.1016/j.jmateco.2010.02.005

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title = "Smooth inequality measurement: Approximation theorems",

abstract = "The main purpose of this paper is to prove that smoothness is not a restrictive assumption in inequality measurement as any inequality measure (preorder) can be approximated in a well defined sense by a smooth inequality measure (preorder). ",

keywords = "Approximation, Inequality measurement, Schur-convexity",

author = "\{Le Breton\}, Michel and Eugenio Peluso",

year = "2010",

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language = "English",

volume = "46",

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journal = "Journal of Mathematical Economics",

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AU - Le Breton, Michel

AU - Peluso, Eugenio

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AB - The main purpose of this paper is to prove that smoothness is not a restrictive assumption in inequality measurement as any inequality measure (preorder) can be approximated in a well defined sense by a smooth inequality measure (preorder).

KW - Approximation

KW - Inequality measurement

KW - Schur-convexity

UR - http://www.mendeley.com/research/smooth-inequality-measurement-approximation-theorems

U2 - 10.1016/j.jmateco.2010.02.005

DO - 10.1016/j.jmateco.2010.02.005

M3 - Article

SN - 0304-4068

VL - 46

SP - 405

EP - 415

JO - Journal of Mathematical Economics

JF - Journal of Mathematical Economics

IS - 4

ER -

Smooth inequality measurement: Approximation theorems

Abstract

Keywords

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