We explore the implications of four natural axioms in taxation: continuity (small changes in the data of a taxation problem should not lead to large changes in the tax allocation), equal treatment of equals (agents with the same pre-tax incomes pay equal taxes), consistency (the way in which a group allocates a tax burden is immune to secessions of taxpayers) and composition down (an increase in the tax burden is handled according to agents’ current post-tax incomes). The combination of the four axioms characterizes a large family of rules, which we call generalized equal-sacrifice rules, encompassing the so-called equal-sacrifice rules (such as the flat tax), as well as constrained equal-sacrifice rules (such as the head tax), and exogenous poverty-line rules (such as the leveling tax, and some of its possible compromises with the previous ones)
Chambers, C. P., & Moreno-Ternero, J. d. D. (2017). Taxation and poverty. Social Choice and Welfare, 48, 153-175. https://doi.org/10.1007/s00355-015-0905-4 (Original work published 2017)