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The Progressivity of Equalization Payments in Federations

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Author Info
Nicolas Gravel () (Centre de Sciences Humaines (CSH), Delhi & IDEP-GREQAM)
Michel Poitevin () (CIREQ and Department of economics, université de Montréal)

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Abstract

We investigate the conditions under which an inequality averse and additively separable welfarist constitution maker would always choose to set up a progressive equalization payment scheme in a federation with local public goods. A progressive equalization payment scheme is defined as a list of per capita net (possibly negative) subsidies – one such net subsidy for every jurisdiction - that are decreasing with respect to jurisdictions per capita wealth. We examine the question in a setting in which the case for progressivity is a priori the strongest, namely, all citizens have the same utility function for the private good and the public good, inhabitants of a given jurisdiction are all identicals and are not able to move accross jurisdictions. We show that a necessary and sufficient condition that the objective function of the constitution maker must satisfy to favour a progressive equalization payment scheme for all distributions of wealth and all population sizes is to be additively separable between each jurisdiction’s per capita wealth and number of inhabitants. When interpreted for a mean of order social welfare function, this condition is shown to be equivalent to additive separability of the individual’s indirect utility function with respect to wealth and the price of the public good. Some implications of this restriction to the case where the citizens direct utility function is additively separable are also derived.

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Publisher Info
Paper provided by Institut d'economie publique (IDEP), Marseille, France in its series IDEP Working Papers with number 0408.

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Length: 20 pages
Date of creation: Jul 2004
Date of revision: Jul 2004
Handle: RePEc:iep:wpidep:0408

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Find related papers by JEL classification:
D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
H10 - Public Economics - - Structure and Scope of Government - - - General
H20 - Public Economics - - Taxation, Subsidies, and Revenue - - - General
H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
H41 - Public Economics - - Publicly Provided Goods - - - Public Goods
H70 - Public Economics - - State and Local Government; Intergovernmental Relations - - - General
H73 - Public Economics - - State and Local Government; Intergovernmental Relations - - - Interjurisdictional Differentials and Their Effects
H77 - Public Economics - - State and Local Government; Intergovernmental Relations - - - Intergovernmental Relations; Federalism

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Blackorby, C. & Bossert, W. & Donaldson, D., 1999. "Utilitarianism and the Theory of Justice," UBC Departmental Archives 99-20, UBC Department of Economics.
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  2. Buhl, Hans Ulrich & Pfingsten, Andreas, 1990. "On the distribution of public funds," European Journal of Political Economy, Elsevier, vol. 6(3), pages 363-376, December. [Downloadable!] (restricted)
  3. Kolm, Serge-Christophe, 1976. "Unequal inequalities. II," Journal of Economic Theory, Elsevier, vol. 13(1), pages 82-111, August. [Downloadable!] (restricted)
  4. Atkinson, Anthony B & Bourguignon, Francois, 1982. "The Comparison of Multi-Dimensioned Distributions of Economic Status," Review of Economic Studies, Blackwell Publishing, vol. 49(2), pages 183-201, April. [Downloadable!] (restricted)
  5. Moyes, Patrick, 1987. "A new concept of Lorenz domination," Economics Letters, Elsevier, vol. 23(2), pages 203-207. [Downloadable!] (restricted)
  6. Kolm, Serge-Christophe, 1976. "Unequal inequalities. I," Journal of Economic Theory, Elsevier, vol. 12(3), pages 416-442, June. [Downloadable!] (restricted)
  7. Blackorby, Charles & Donaldson, David, 1982. "Ratio-Scale and Translation-Scale Full Interpersonal Comparability without Domain Restrictions: Admissible Social-Evaluation Functions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 23(2), pages 249-68, June.
  8. Thon, Dominique, 1987. "Redistributive properties of progressive taxation," Mathematical Social Sciences, Elsevier, vol. 14(2), pages 185-191, October. [Downloadable!] (restricted)
  9. Jakobsson, Ulf, 1976. "On the measurement of the degree of progression," Journal of Public Economics, Elsevier, vol. 5(1-2), pages 161-168. [Downloadable!] (restricted)
  10. Eichhorn, Wolfgang & Funke, Helmut & Richter, Wolfram F., 1984. "Tax progression and inequality of income distribution," Journal of Mathematical Economics, Elsevier, vol. 13(2), pages 127-131, October. [Downloadable!] (restricted)
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  1. Benoit Tarroux, 2006. "Are Equalization Payments Making Canadians Better Off? A Two-Dimensional Dominance Answer," IDEP Working Papers 0608, Institut d'economie publique (IDEP), Marseille, France, revised 15 Nov 2006. [Downloadable!]
  2. Rongili Biswas & Nicolas Gravel & Remy Oddou, 2008. "On the Segregative Properties of Endogenous Jurisdiction Formation with a Central Government," IDEP Working Papers 0802, Institut d'economie publique (IDEP), Marseille, France, revised 05 2008. [Downloadable!]
  3. Biswas, Rongili & Gravel, Nicolas & Oddou, Rémy, 2009. "The segregative properties of endogenous jurisdictions formation with a welfarist central government," P.O.L.I.S. department's Working Papers 121, Department of Public Policy and Public Choice - POLIS. [Downloadable!]
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