In this note, we consider a simple model of populations distribution based on utility functions theory. The novelty of our approach is the use of a recent theory of random variational inequalities in refining a previous model by allowing random fluctuations in the data of the problem. We first present the random equilibrium conditions and prove their equivalence to a parametric random variational inequality. Then, we provide a formulation of the problem in a Lebesgue space with a probability measure. Finally, we work out a simple example, which can be solved exactly and allows us to test an approximation procedure.
A variational inequality formulation of a migration model with random data
Raciti, Fabio
2017-01-01
Abstract
In this note, we consider a simple model of populations distribution based on utility functions theory. The novelty of our approach is the use of a recent theory of random variational inequalities in refining a previous model by allowing random fluctuations in the data of the problem. We first present the random equilibrium conditions and prove their equivalence to a parametric random variational inequality. Then, we provide a formulation of the problem in a Lebesgue space with a probability measure. Finally, we work out a simple example, which can be solved exactly and allows us to test an approximation procedure.File | Dimensione | Formato | |
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