Equilibrium analysis for a migration model

This paper gives a theoretical equilibrium analysis for a deterministic migration model among $n\mathrm{r}\dot{\varphi}\mathrm{o}\mathrm{n}\mathrm{s} $ in the case of zero natural growth. First, this paper shows that a migration $\alpha \mathrm{l}\mathrm{u}\mathrm{i}\mathrm{l}\mathrm{i}\mathrm{b}\mathrm{r}\mathrm{i}\mathrm{u}\mathrm{m} $ always exists if residents ’ utility functions are continuous. Second, this paper gives some conditions for the stability of a migration equilibrium. Specifically, extending the necessary condition of Tabuchi (1986), this paper provides conditions which are sufficient to ensure a stable migration equilibrium. Although the model is basic and simple, this paper provides a complete theoretical analysis and derives concise results, which have very intuitive ecplanations. Keywm&. Migration; Equilibrium; Stabilit