Optimum immigration policies based on Linear Quadratic Theory

In this paper, it is demonstrated that the Theory of Linear Quadratic is applicable in deriving optimum immigration policies, while maintaining population and immigration levels close to certain pre-specified reference trajectories. An already existed dynamic population model found in literature and statistical data obtained from Cyprus Statistics, are used for our simulation purposes. The numerical results presented illustrate that the applied technique results in optimum immigration policies that can be well formulated for fixed as well as for variable target sets.