By varying these Pareto weights, we can trace out the entire constrained Pareto frontier.
The planning problem seeks to maximize a weighted average of the agents’ utilities over
the set of equilibria without free mobility. In other words, we are assuming extreme powers of relocation for the planner.7 Our main result is that constrained efficient allocations
are consistent with free mobility.
In order to study the planning problem, it is useful to first define the indirect utility
functio