Optimal tax the optimum. Stipulating this condition results in the following formula for the optimal top tax rate, if incomes are Pareto distributed: formula_1 where: Empirical estimation of the parameters of this equation suggests that the revenue-maximising top tax rate is between approximately 50% and 80%, although this estimate neglects long-run behavioural responses, which would imply higher elasticities and a lower optimal tax rate. Saez's analysis can also be generalised to tax rates other than the top rate. In the late 1970s, Arthur Laffer developed the Laffer curve, which demonstrates that there are two effects of changing tax rates: an arithmetic effect—if
From each according to his ability, to each according to his needs complete paragraph containing Marx's statement of the creed in the "Critique of the Gotha Program" is as follows: Although Marx is popularly thought of as the originator of the phrase, the slogan was common within the socialist movement. For example, it was used by August Becker in 1844 and Louis Blanc in 1851. The origin of this phrasing has also been attributed to the French utopian Étienne-Gabriel Morelly, who proposed in his 1755 "Code of Nature" "Sacred and Fundamental Laws that would tear out the roots of vice and of all the evils of a society", including: A similar phrase