摘要:This note analyzes constrained Pareto efficient nonlinear income tax schedules that are monotonic chains to the left. The main result demonstrates that if all individuals have a positive consumption at the tax schedule that maximizes the utility of the worst-off individual, then the constrained utility possibility set is convex. As a consequence, all constrained Pareto efficient nonlinear income tax schedules that are monotonic chains to the left can be identified by maximizing a weighted summation of net utilities.