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Optimality conditions and comparative static properties of non-linear income taxes revisited

  • Laurent Simula

    (PSE - Paris-Jourdan Sciences Economiques - CNRS : UMR8545 - École des Hautes Études en Sciences Sociales (EHESS) - École des Ponts ParisTech (ENPC) - École normale supérieure [ENS] - Paris, EEP-PSE - Ecole d'Économie de Paris - Paris School of Economics - Ecole d'Économie de Paris, GREMAQ - Groupe de recherche en économie mathématique et quantitative - CNRS : UMR5604 - Université des Sciences Sociales - Toulouse I - École des Hautes Études en Sciences Sociales (EHESS) - Institut national de la recherche agronomique (INRA) : UMR, IDEP - Institut d'économie publique - IDEP)

Optimality conditions and comparative static properties of the optimal Mirrleesian nonlinear income tax are obtained for a finite population and quasilinear-in-consumption preferences. Contrary to Weymark (1987) who considers quasilinear-in-leisure preferences, the linearity with respect to gross income, which is observed by the government and used as a tax base, is lost. A reduced-form optimal income tax problem is derived, in which consumption levels are obtained as functions of gross incomes. The contribution of this new reduced form is twofold. First, the optimal allocation can be characterized geometrically in a simple way. Second, comparative static results with respect to individual productivities are easy to obtain.

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Paper provided by HAL in its series PSE Working Papers with number halshs-00588074.

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Date of creation: May 2007
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Handle: RePEc:hal:psewpa:halshs-00588074
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