6 research outputs found
Transversality Conditions for Higher Order Infinite Horizon Discrete Time Optimization Problems
In this paper, we examine higher order difference problems. Using the
"squeezing" argument, we derive both Euler's condition and the transversality
condition. In order to derive the two conditions, two needed assumptions are
identified. A counterexample, in which the transversality condition is not
satisfied without the two assumptions, is also presented
Constructing the Optimal Solutions to the Undiscounted Continuous-Time Infinite Horizon Optimization Problems
We aim to construct the optimal solutions to the undiscounted continuous-time
infinite horizon optimization problems, the objective functionals of which may
be unbounded. We identify the condition under which the limit of the solutions
to the finite horizon problems is optimal for the infinite horizon problems
under the overtaking criterion
Limit of the Solutions for the Finite Horizon Problems as the Optimal Solution to the Infinite Horizon Optimization Problems
We aim to generalize the results of Cai and Nitta (2007) by allowing both the
utility and production function to depend on time. We also consider an
additional intertemporal optimality criterion. We clarify the conditions under
which the limit of the solutions for the finite horizon problems is optimal
among all attainable paths for the infinite horizon problems under the
overtaking criterion, as well as the conditions under which such a limit is the
unique optimum under the sum-of-utilities criterion. The results are applied to
a parametric example of the one-sector growth model to examine the impacts of
discounting on optimal paths
Constructing the Optimal Solutions to the Undiscounted Continuous-Time Infinite Horizon Optimization Problems
We aim to construct the optimal solutions to the undiscounted continuous-time infinite horizon optimization problems, the objective functionals of which may be unbounded. We identify the condition under which the limit of the solutions to the finite horizon problems is optimal for the infinite horizon problems under the overtaking criterion.