In a recent contribution, H. Naito (1999) has shown that production efficiency may be violated in the optimum with non-linear income taxation. Using a slightly simpler framework, this paper complements Naito's analysis in showing that production efficiency does not hold in the optimum with (i)...

This paper deals with second-best pollution taxation by investigating allocations instead of the corresponding tax rates. Assuming certain restrictions on utility and that the marginal revenue from environmental taxation is positive, it is shown that environmental quality is higher in second...