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.
Titolo: | A variational inequality formulation of a migration model with random data |
Autori interni: | |
Data di pubblicazione: | 2017 |
Handle: | http://hdl.handle.net/20.500.11769/327565 |
ISBN: | 9783319666150 |
Appare nelle tipologie: | 2.1 Contributo in volume (Capitolo o Saggio) |
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