A migration equilibrium model with uncertain data and movement costs

In this paper, we consider a variational inequality model of migration in which populations move according to the utility functions corresponding to various locations and movement costs. In contrast to previously studied models based on variational inequalities, we take into account the possibility that some of the data in the model are not deterministic but, instead, are known through their probability distributions. Our theoretical framework is that of random variational inequalities in Lebesgue spaces.