On variable discounting in dynamic programming: applications to resource extraction and other economic models

Anna Jaśkiewicz, Janusz Matkowski () and Andrzej Nowak

Annals of Operations Research, 2014, vol. 220, issue 1, 263-278

Abstract: This paper generalizes the classical discounted utility model introduced in Samuelson (Rev. Econ. Stud. 4:155–161, 1937 ) 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 economic growth related with resource extraction models with unbounded utility function of consumption. Copyright Springer Science+Business Media, LLC 2014

Keywords: Dynamic programming; Variable discounting; Bellman equation; Resource extraction; Growth theory (search for similar items in EconPapers)
Date: 2014
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Working Paper: On Variable Discounting in Dynamic Programming: Applications to Resource Extraction and Other Economic Models (2011)
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DOI: 10.1007/s10479-011-0931-2

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