Jaśkiewicz, Anna and Matkowski, Janusz and Nowak, Andrzej S. (2011): On Variable Discounting in Dynamic Programming: Applications to Resource Extraction and Other Economic Models. Forthcoming in: Annals of Operations Research : pp. 115.

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Abstract
This paper generalizes the classical discounted utility model introduced by Samuelson by replacing a constant discount rate with a function. The existence of recursive utilities and their constructions are based on Matkowski's extension of the Banach Contraction Principle. The derived utilities go beyond the class of recursive utilities studied in the literature and enable a discussion on subtle issues concerning time preferences in the theory of finance, economics or psychology. Moreover, our main results are applied to the theory of optimal growth with unbounded utility functions.
Item Type:  MPRA Paper 

Original Title:  On Variable Discounting in Dynamic Programming: Applications to Resource Extraction and Other Economic Models 
English Title:  On Variable Discounting in Dynamic Programming: Applications to Resource Extraction and Other Economic Models 
Language:  English 
Keywords:  Dynamic programming Variable discounting Bellman equation 
Subjects:  D  Microeconomics > D9  Intertemporal Choice > D90  General C  Mathematical and Quantitative Methods > C6  Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C61  Optimization Techniques ; Programming Models ; Dynamic Analysis 
Item ID:  31069 
Depositing User:  Andrzej Nowak 
Date Deposited:  24. May 2011 10:36 
Last Modified:  14. Feb 2013 10:45 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/31069 