On Optimization of Tax Functions
Matematičeskie zametki, Tome 109 (2021) no. 2, pp. 170-179.

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We consider the problem of maximization of an integral functional on the space of increasing functions, which is motivated by economic concerns for tax mechanisms optimization. An analytical description of the optimal value is obtained, as well as an approximation method for finding the solution.
Keywords: nonlinear optimization
Mots-clés : optimal taxation.
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T. V. Bogachev; S. N. Popova. On Optimization of Tax Functions. Matematičeskie zametki, Tome 109 (2021) no. 2, pp. 170-179. http://geodesic.mathdoc.fr/item/MZM_2021_109_2_a1/

[1] S. Steinerberger, A. Tsyvinski, Tax Mechanisms and Gradient Flows, 2019, arXiv: 1904.13276

[2] D. Sachs, A. Tsyvinski, N. Werquin, “Nonlinear tax incidence and optimal taxation in general equilibrium”, Econometrica, 88:2 (2020), 469–493 | DOI | MR

[3] J. A. Mirrlees, “An exploration in the theory of optimum income taxation”, Rev. Econom. Stud., 38:2 (1971), 175–208 | DOI

[4] J. A. Mirrlees, “The theory of optimal taxation”, Handbook of Mathematical Economics, Vol. III, Handbooks in Econom., 1, North-Holland, Amsterdam, 1986, 1197–1249 | MR

[5] M. F. Hellwig, “Incentive problems with unidimensional hidden characteristics: a unified approach”, Econometrica, 78:4 (2010), 1201–1237 | DOI | MR

[6] E. Saez, “Using elasticities to derive optimal income tax rates”, Rev. Econom. Stud., 68 (2001), 205–229 | DOI | MR

[7] V. M. Alekseev, V. M. Tikhomirov, S. V. Fomin, Optimalnoe upravlenie, Nauka, M., 1979 | MR | Zbl

[8] S. M. Aseev, V. M. Velov, “Drugoi vzglyad na printsip maksimuma dlya zadach optimalnogo upravleniya s beskonechnym gorizontom v ekonomike”, UMN, 74:6 (450) (2019), 3–54 | DOI | MR

[9] A. N. Kolmogorov, S. V. Fomin, Elementy teorii funktsii i funktsionalnogo analiza, Nauka, M., 1972 | MR | Zbl