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agglomeration economies alternative argued argument assumption beneﬁts bid rent function capital central city city size congestion cost-beneﬁt analysis crime decentralization decline deﬁned demand density gradient difﬁcult distance distribution effects efﬁcient environmental equilibrium expenditures externalities ﬁnancing ﬁrms ﬁrst ﬁscal ﬁxed ﬂow ghetto higher households impact implies income increase industry inﬂuence justiﬁed labor land rent marginal measures ment metropolitan areas mode negative negative income tax neighborhoods optimal output para-transit Pareto distribution percent pollution poor population population density poverty preferences problem production proﬁt property tax property values public housing public transit reﬂects region relative rent gradient residential result revenue road road pricing scale sector social solution speciﬁc SRMC strategy subcenters subsidies suburban suburbs supply tend theory tion towns trafﬁc unemployment United urban economics urban growth urban renewal vary wage welfare zero zoning