Article ID: | iaor20013979 |
Country: | United Kingdom |
Volume: | 28 |
Issue: | 7 |
Start Page Number: | 637 |
End Page Number: | 647 |
Publication Date: | Jun 2001 |
Journal: | Computers and Operations Research |
Authors: | Wang Sheng-Pen |
Keywords: | growth |
We point out the shape characteristics – monotonicity and concavity – of the value functions of optimal economic growth problems. We introduce the concept of shape preservation in approximating the value functions. We also present a shape-preserving algorithm to compute the solutions of continuous-state optimal economic growth problems. Numerical results show that shape-preserving interpolation methods are superior to others with less-sophisticated interpolation in the sense of smaller approximation errors.