论文信息 - Non-constant discounting in finite horizon: The free terminal time case

Non-constant discounting in finite horizon: The free terminal time case

This paper derives the HJB (Hamilton-Jacobi-Bellman) equation for sophisticated agents in a finite horizon dynamic optimization problem with non-constant discounting in a continuous setting, by using a dynamic programming approach. Special attention is paid to the case of free terminal time. Strotz's model (a cake-eating problem of a non-renewable resource with non-constant discounting) is revisited. A consumption-saving model is used to illustrate the results in the free terminal time case.

Jorge Navas | Jesús Marín-Solano

[1] Robert J. Barro,et al. Ramsey Meets Laibson in the Neoclassical Growth Model , 1999 .

[2] Larry S. Karp,et al. Global Warming and Hyperbolic Discounting , 2003 .

[3] G. Loewenstein,et al. Anomalies in Intertemporal Choice: Evidence and an Interpretation , 1992 .

[4] R. Thaler. Some empirical evidence on dynamic inconsistency , 1981 .

[5] David I. Laibson,et al. Golden Eggs and Hyperbolic Discounting , 1997 .

[6] R. H. Strotz. Myopia and Inconsistency in Dynamic Utility Maximization , 1955 .

[7] F. Ramsey,et al. THE MATHEMATICAL THEORY OF SAVING , 1928 .

[8] Karl-Gustaf Löfgren,et al. Renewable Resources and Economic Sustainability: A Dynamic Analysis with Heterogeneous Time Preferences , 2000 .

[9] Larry Karp,et al. Non-Constant Discounting in Continuous Time , 2004, J. Econ. Theory.

[10] R. Pollak,et al. SECOND-BEST NATIONAL SAVING AND GAME-EQUILIBRIUM GROWTH , 1980 .

[11] L. Karp,et al. Time perspective and climate change policy , 2008 .

[12] Suresh P. Sethi,et al. A note on the free terminal time transversality condition , 1983, Z. Oper. Research.