Abstract(s)
We study the problem of locating multiple public goods for a group of agents
with single-peaked preferences over an interval. An alternative specifies for each
public good a location. In Miyagawa (1998) each agent consumes only his most
preferred public good without rivalry. We extend preferences lexicographically
and characterize the class of rules satisfying Pareto-optimality and replacementdomination. We show that for three public goods, this results in a very similar
characterization to Miyagawa (2001a): only the two rules which either always
chooses the left-most Pareto-optimal alternative or always chooses the rightmost Pareto-optimal alternative satisfy these properties. This is in contrast to
Ehlers (2002) who showed that for two goods the corresponding characterization
is substantially different to Miyagawa (2001a).