In this paper, we study the optimization problem of an unregulated air
carrier which is given the exclusive right to satisfy demand for air
travel between any pair of cities. It chooses a network of connections
and a set of prices to maximize profits. Thus, both network design an
d prices are endogenous. We characterize the solution to this optimiza
tion problem when demands and costs are symmetric. Our main result is
that, if there are economies of density in the number of individuals t
ravelling between two directly connected cities, the optimal network i
s either a hub of size n - 1 or one in which every pair of cities is c
onnected directly.