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Scale-invariant equal sacrifice in taxation. The linear-affine functional equation. Multiplicative and logarithmic functions

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Part of the book series: Theory and Decision Library ((TDLB,volume 3))

Abstract

In the theory of taxation (as in many parts of economics) it is not the amount of, say, income that counts, but its utility. If u is the utility function, the utility of the gross income x is u(x) and that of the net income y (after taxes) is u(y) then the (absolute) sacrifice under taxation is

u(x)u(y).

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© 1987 D. Reidel Publishing Company, Dordrecht, Holland

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Aczél, J. (1987). Scale-invariant equal sacrifice in taxation. The linear-affine functional equation. Multiplicative and logarithmic functions. In: A Short Course on Functional Equations. Theory and Decision Library, vol 3. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3749-9_3

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  • DOI: https://doi.org/10.1007/978-94-009-3749-9_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-277-2377-2

  • Online ISBN: 978-94-009-3749-9

  • eBook Packages: Springer Book Archive

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