By Günter Haag (auth.)

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The individual transition rate PC: )1 is positive by definition. "" must be a positive definite function of values of u"" and u j ) and u':' 1 ji for arbitrary real I 2. I from ito j must be larger than P .. for ) lj the inverse transition, if u"" exceeds u"" j i 3. ""- u ""}. 34) Jf i,j Nj which is the mean value of the flexibility matrix. 32) is highly plausible a few further remarks should be made to give additional reasons for the choice of this form of the individual transition rate: 4. 32) the static random choice theory can be obtained as a stationary solution of our dynamic theory 5.

The theoretical part of this book has been completed. In the following. the ideas and concepts will be illustrated by means of examples with increasing complexity in each chapter. The regional s cie:nces provide an interesting and wide field of potential applications of this theory mainly because of the following reasons: Huge variety of topics A huge variety of problems in the regional sciences can be formulated as a choice process. agents holds. developers. retailers. firms. • ) (consumers. lead to an house- interesting complexity and require sophisticated methods.

Therefore, we start first of all by considering three completely different kinds of transition processes: 1. Agent changes his attitude The transition processes in which one member of the subpopulation Poe of agents change from state (attitude) i to state (attitude) j of behaviour are very common. 18) and depend in general on the decision configuration (socio-configuration) n 24 and on trend parameters x. The latter are considered as constants here. but may become dynamic variables in an extended treatment (see.

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