Optimal solutions to the infinite horizon problems: Constructing the optimum as the limit of the solutions for the finite horizon problems

Nonlinear Analysis, Theory, Methods and Applications

Volumn 71, Issue 12, 2009, Pages

  Cai, Dapeng ^a   Nitta, Takashi Gyoshin ^b  

^a NAGOYA UNIVERSITY   (Japan)

^b MIE UNIVERSITY   (Japan)

Author keywords

Discounting; Infinite horizon optimization

Indexed keywords

DISCOUNTING; FINITE HORIZON PROBLEM; INFINITE HORIZON PROBLEMS; INFINITE HORIZONS; OPTIMAL SOLUTIONS; OPTIMIZATION PROBLEMS;

OPTIMAL SYSTEMS;

OPTIMIZATION;

EID: 72149108148     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2009.03.066     Document Type: Article

References (17)

1. Weitzman M.L. Why the far-distant future should be discounted at its lowest possible rate. Journal of Environmental Economics and Management 36 (1998) 201-208
2. Heal G. Valuing the Future: Economic Theory and Sustainability (1998), Columbia University Press, New York
3. Ramsey F.P. A mathematical theory of saving. Economic Journal 38 (1928) 543-559
4. Von Weizäcker C.C. Existence of optimal programs of accumulation for an infinite time horizon. Review of Economic Studies 32 (1965) 85-104
5. Atsumi H. Neoclassical growth and the efficient program of capital accumulation. Review of Economic Studies 32 (1965) 127-136
6. Gale D. On optimal development in a multi-sector economy. Review of Economic Studies 34 (1967) 1-18
7. Brock W.A. On the existence of weakly maximal programmes in multi-sector economy. Review of Economic Studies 37 (1970) 275-280
8. Okumura R., Cai D., and Nitta T.G. Transversality conditions for infinite horizon optimality: Higher order differential problems. Nonlinear Analysis (2009) 10.1016/j.na.2009.02.110
9. Michel P. On the transversality condition in infinite horizon optimal problems. Econometica 50 (1982) 975-985
10. Michel P. Some clarifications on the transversality condition. Econometrica 58 (1990) 705-723
11. Durán J. On dynamic programming with unbounded returns. Economic Theory 15 (2000) 339-352
12. Kamihigashi T. Necessity of transversality conditions for infinite horizon problems. Econometrica 69 (2001) 995-1012
13. Le Van C., and Morhaim L. On optimal growth models when the discount factor is near 1 or equal to 1. International Journal of Economic Theory 2 (2006) 55-76
14. D. Cai, T.G. Nitta, Treating the future equally: Solving undiscounted infinite horizon optimization problems, 2007. arXiv:math/0701371
15. D. Cai, T.G. Nitta, Constructing the optimal solutions to the undiscounted continuous-time infinite horizon optimization problems, 2008. arXiv:0803.4046
16. Stokey N., and Lucas R. Recursive Methods in Economic Dynamics (1989), Harvard University Press, Cambridge
17. Chiang A.C. Elements of Dynamic Optimization (1992), McGraw-Hill, Singapore