... the least core isactually not (for example the quadratic taxation case, or the piecewise linear taxation case). Once thenon-emptiness of least core is established, only then the analysis of its ... proposition has as direct corollary the fact that for quadratic taxations our analyzed setup has a non-empty least core.Proposition 2. Let QT (F, R) = QT be the set of quadratic tax functions defined ... Filip∗1,21Department of Statistics, Forecasting and Mathematics,Faculty of Economics and Business Administration,University Babe¸s Bolyai, 400591 Cluj-Napoca, Romania2Laboratoire d’Economie d’Orl´eans,Facult´e...