@techreport{Wagner2004,
  type      = {Working Paper},
  author    = {Wagner, Wolfgang},
  title     = {A simulation of segregation in cities and its application for the analysis of rent control},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-14177},
  year      = {2004},
  abstract  = {Social segregation in cities takes place where different household groups exist and when, according to Schelling, their location choice either minimizes the number of differing households in their neighborhood or maximizes their own group. In this contribution an evolutionary simulation based on a monocentric city model with externalities among households is used to discuss the spatial segregation patterns of four groups. The resulting complex spatial patterns can be shown as graphic animations. They can be applied as initial situation for the analysis of the effects a rent control has on segregation.},
  language  = {en}
}
@techreport{Wagner2004,
  type      = {Working Paper},
  author    = {Wagner, Wolfgang},
  title     = {Spatial patterns of segregation},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-14153},
  year      = {2004},
  abstract  = {Usually, in monocentric city models, the spatial patterns of segregated ethnic groups are assumed to be ring-shaped, whereas in the 1930ies Hoyt showed that empirically wedge-shaped areas predominate. In contrast to Rose-Ackerman.s discussion of the in.uence within a ring-shaped pattern which the aversion which different households in the context of racism have, Yinger showed that, depending on the population mix, a wedge-shaped pattern may arise if it is border length which causes the spatial pattern. In this contribution, a simulation based on a monocentric city model with two or more different household groups is used to derive spatial patterns. Wedge-shaped segregation is shown to be the result of positive externalities among similar households. Differences between households only lead to ring-shaped patterns if the e\iect of a city center on spatial structure dominates neighborhood e\iects. If more than two groups of households are being considered, mixed patterns of concentric and wedge-shaped areas arise.},
  language  = {en}
}
@techreport{Wagner2004,
  type      = {Working Paper},
  author    = {Wagner, Wolfgang},
  title     = {Optimal spatial patterns of two, three and four segregated household groups in a monocentric city},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-14165},
  year      = {2004},
  abstract  = {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.},
  language  = {en}
}