Abstract
This chapter discusses a few properties of a stochastic attraction model. In any analysis of patterns of movement, it is fundamentally important to determine whether the choice of a destination is structurally constrained by some form of quota. The clearest case of such a constraint is provided by Harrison White's notion of vacancy—a move to a state is possible only if there is a vacancy in that state. The usual analysis of a nonhomogeneous chain requires that the sequence of transition matrices be fixed quantities. The chapter describes a stochastic attraction model, in which future conditions do not constrain current choice of destination. The model contains only variables that are relevant and evaluable at the time of choice of destination, given a decision to move. The model is a finite nonhomogeneous Markov chain in discrete time. The chapter explores some of the mathematical properties of the model, with particular emphasis on the existence of stable distributions.
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