In a model where agents have unequal skills and heterogeneous preferences about consumption goods and leisure, this paper studies how to combine linear commodity taxes and non-linear income tax. It proposes a particular social welfare function on the basis of fairness principles. It then derives...

Xu’s theorem comforts ranking the freedom of choice provided by budget sets as their volume in deriving it from three axioms. Yet, one and a half of these axioms can be discussed. In contrast, simple logic – it seems – leads one to order the freedom provided by budgets sets as the distance...