A note on Matsushima's regularity condition

This note first uses a simple example to show that H. Matsushima's (1991, J . Econ. Theory 54, 198-203) regularity condition, to the contrary of his cl aim, actually does not imply C. d'Aspremont and L.-A. Gerard-Varet's (1979, J. Public Ei on. 11, 25-45) compatibility condition. It then proves a stro nger version of Matsushima's proposition, namely that efficient public deci sion rules can be truthfully implemented with budget-balancing mechanisms u nder the, weak regularity condition. (C) 1999 Academic Press.