Outcomes of voting and planning: Condorcet,Weber and Rawls locations

The paper is concerned with the comparison of the locations of a facility resulting from voting and planning procedures. It is shown that a voting location exists and coincides with that minimizing the total distance covered by the users to go to the facility when the transportation network contains no cycles. For a general network, least upper bounds on the ratio of the social values of the voting and planning locations are given in the cases where the total or the maximal travelled distance is minimized.