The early invention of the so-called Laffer curve and the mathematics of the progressive tax in the Italian tradition

The theories of progressive income taxation developed in the Italian debate of the last century have been discussed in depth in a review article by Domenican-tonio Fausto (2008). Italian economists have taken an active part in the debate on the progressive taxation of income and wealth. In general, despite a few oppo-nents, the idea of progressive taxation is agreed upon for political and social reasons. In this broad debate on progressivity developed in Italy, there is also an analytical path that Fausto's article does not consider. The first mathematical contribution on this topic was put forward by Tullio Martello in his polemic book against the progressive tax, La progressività in teoria e in pratica (1895). The debate was concluded in the 1950s by a mathematical economist and follower of Pareto, Raffaele D'Addario. D'Addario is worth considering because he explicitly introduced the revenue curve. The decreasing part is well known today as the Laffer curve. [Publisher's text]