2018
DOI: 10.1007/s00181-018-1524-6
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A note on the maximum value of the Kakwani index

Abstract: The overall tax revenue of a real world personal income tax cannot be eventually paid only by the richest taxpayer. Therefore, the maximum concentration coefficient for taxes cannot be equal to 1, and, consequently, the maximum value of the Kakwani index cannot be 1 minus the Gini coefficient for pre-tax incomes, as generally described in the related literature. We give evidence of this phenomenon by illustrating a theoretical example, and by evaluating its maximum value when a real world tax is considered.

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Cited by 3 publications
(4 citation statements)
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“…This extreme is equivalent to a tax system with a single threshold of x k above which the marginal tax rate is 100%. The tax function, trueT̂)(xi, has previously been proposed by Jayaraj and Subramanian (2010) in the context of poverty eradication through redistributive taxation and used in Mantovani (2017) and Mantovani et al (2020) in the context of analysis of the maximum value of K .…”
Section: A New Measurementioning
confidence: 99%
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“…This extreme is equivalent to a tax system with a single threshold of x k above which the marginal tax rate is 100%. The tax function, trueT̂)(xi, has previously been proposed by Jayaraj and Subramanian (2010) in the context of poverty eradication through redistributive taxation and used in Mantovani (2017) and Mantovani et al (2020) in the context of analysis of the maximum value of K .…”
Section: A New Measurementioning
confidence: 99%
“…This is a requirement of such extreme restrictiveness as to confine the applicability of the framework of analysis to rather unrealistic contexts. The problem has not gone unnoticed in the literature: it has been explicitly discussed in Mantovani (2017) and Mantovani et al (2020).…”
mentioning
confidence: 99%
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“…For further discussions on the Kakwani and Suits indices, see, among others,Formby, Seaks and Smith(1981),Formby and Skyes(1984),Silber (1994),Kakwani and Son(2020),Mantovani , Pellegrino and Vernizzi(2020) andEnami , Larroulet and Lustig (2022). The Musgrave-Thin and the Kakwani/Suits indices may generate conflicting resultsThistle, 1990 andSilber, 1994).…”
mentioning
confidence: 99%