ELIE-minating poverty? Limits of the mechanism and potential improvements

Using French data, we show that ELIE performs rather weakly when it comes to addressing the issue of poverty. Yet, eliminating poverty is also a valid normative property of any redistribution mechanism. We suggest combining ELIE with another redistributive solution aimed specifically at alleviating poverty: the personal allowance (PERAL) mechanism (Leroux, 2004 and 2007). We argue that ELIE and the PERAL mechanism, more than being compatible, are in fact complementary.

Construction of Nijenhuis operators and dendriform trialgebras

Nijenhuis operators are constructed from particular bialgebras called dendriform- Nijenhuis bialgebras. It turns out that such operators commute with TD-operators, kind of Baxter-Rota operators, and therefore closely related to dendriform trialgebras. Examples are given.Comment: 21 page