2007
DOI: 10.2202/1935-1704.1408
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A Consistent Multidimensional Generalization of the Pigou-Dalton Transfer Principle: An Analysis

Abstract: This paper explores the implications of using multidimensional majorization criteria to derive inequality measures, without taking into consideration the idea behind the Pigou-Dalton principle, in the sense that if a richer person transfers something of at least one attribute to a poorer person the inequality falls. A new and basic criterion proposed by Fleurbaey and Trannoy (2003) which generalizes this idea to the multidimensional framework is explored, and its logical relationships with the dominance criter… Show more

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Cited by 8 publications
(6 citation statements)
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“…This dominance criterion is known as "price majorization", "budget majorization" or "directional majorization". The appropriateness, or the lack, of market prices for attributes such as the health status represents a problem for this 42 See also Das Gupta and Bhandari (1989), Dardanoni (1995), Fleurbaey and Trannoy (2003), Mosler (2004), Fleurbaey (2006), Savaglio (2006aSavaglio ( , 2006b, Diez et al (2007), Nakamura (2012) and Banerjee (2014aBanerjee ( , 2014b.…”
Section: Multidimensional Extensions Of the Pigou-dalton Transfers Pr...mentioning
confidence: 99%
“…This dominance criterion is known as "price majorization", "budget majorization" or "directional majorization". The appropriateness, or the lack, of market prices for attributes such as the health status represents a problem for this 42 See also Das Gupta and Bhandari (1989), Dardanoni (1995), Fleurbaey and Trannoy (2003), Mosler (2004), Fleurbaey (2006), Savaglio (2006aSavaglio ( , 2006b, Diez et al (2007), Nakamura (2012) and Banerjee (2014aBanerjee ( , 2014b.…”
Section: Multidimensional Extensions Of the Pigou-dalton Transfers Pr...mentioning
confidence: 99%
“…See also DasGupta and Bhandari (1989),Dardanoni (1995),Fleurbaey and Trannoy (2003),Mosler (2004),Fleurbaey (2006),Savaglio (2006aSavaglio ( , 2006b,Diez et al (2007),Nakamura (2012) andBanerjee (2014aBanerjee ( , 2014b.…”
mentioning
confidence: 99%
“…Bourguignon (1999), List (1999)). Nevertheless, Diez et al (2007) show that in general these indices fail to rank any pair of multidimensional distributions when one is derived from another by a transfer of part of one attribute from a richer person to a poorer one. 4 As an illustration consider a society of three individuals each endowed with two attributes.…”
Section: For Instance)mentioning
confidence: 93%
“…In fact the paper shows the relationships between PDB and other dominance criteria that exist in the literature.5 This issue is shown inDiez et al (2007). They check some of the most important multidimensional inequality measures in order to show whether or not PDB is satisfied.…”
mentioning
confidence: 99%