Mean City—A Consistent Approximation of Bid Rent Equilibria

Amenities and the Social Structure of Cities

“…When commuting costs are distance-dependent and income-independent, these authors show that income-classes are ranked by increasing income as the distance to the CBD rises. Kamecke (1993) extends this result to a continuum of heterogeneous households by showing that there is perfect sorting moving out from the CBD by increasing incomes. When the lot size is xed, Miyake (2003) showed that the bid rent approach may be viewed as the limit of a two-sided matching market between landlords and households.…”

“…their distance to the central business district (henceforth, CBD) predicts that, when commuting costs vary only with distance, households are sorted by increasing income order as the distance to the CBD rises. The reason is that households' desire to consume more space leads the auent to reside further away from the city center (Hartwick et al, 1976;Fujita, 1989; Kamecke, 1993). If the city center has a large amenity advantage while amenities fall rapidly with distance, then the pattern may be reversed: the auent live in the city center and the poor live in the suburbs (Brueckner et al, 1999).…”

Tribute to Marcus Berliant: A pivotal matchmaker of general equilibrium and spatial economics

“…However, given that each household is consuming a “density of land” at a location, the practical meaning of the equilibrium allocation of the density model needs to be clarified. In this connection, in Berliant (), Marcus reports his awareness of the following four attempts to justify the use of such a density model: McLean and Muench (), Kamecke (), Papageorgiou and Pines () and Asami et al . ().…”

“…However, given that each household is consuming a "density of land" at a location, the practical meaning of the equilibrium allocation of the density model needs to be clarified. In this connection, in Berliant (1991), Marcus reports his awareness of the following four attempts to justify the use of such a density model: McLean and Muench (1981), Kamecke (1993), Papageorgiou and Pines (1990) and Asami et al (1990). He then critically reviews each attempt, and concludes that "each attempt is associated with a different set of important conceptual and robustness difficulties" (Berliant, 1991, p. 639).…”

When worlds collide: Different comparative static predictions of continuous and discrete agent models with land

“…The scattered literature on general equilibrium models with land has tried to investigate the similarity or dissimilarity between the equilibria of these two types of models. This line of inquiry has met with limited success only; see McLean and Muench (1981), Berliant (1985Berliant ( , 1991, Asami et al (1991), Kamecke (1993), Papageorgiou and Pines (1990), and Berliant and ten Raa (1991). The intuition for the dissimilarity between the models is that any partition of a -…nite measure space, such as a Euclidean space, can have only countably many elements of positive measure.…”