Optimal spatial patterns of two, three and four segregated household groups in a monocentric city

Usually, in monocentric city models the spatial patterns of segregated household groups are assumed to be ring-shaped, while early in the 1930ies Hoyt showed that wedge-shaped areas empirically predominate. This contribution presents a monocentric city model with different household groups generating positive externalities within the groups. At first, border length is founded as a criterion of optimality. Secondly, it is shown that mixed patterns of concentric and wedge-shaped areas represent multiple equilibria if more than two groups of households are being considered. The welfare optimal segregated pattern depends on the relative purchasing power of different household groups.