Non-constant Discounting in Continuous Time

Karp, L.S. (2007) Non-constant Discounting in Continuous Time. Journal of Economic Theory, 132, (1), 557-568. (doi:10.1016/j.jet.2005.07.006).


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This paper derives the dynamic programming equation (DPE) to a differentiable Markov Perfect equilibrium in a problem with non-constant discounting and general functional forms. Beginning with a discrete stage model and taking the limit as the length of the stage goes to 0 leads to the DPE corresponding to the continuous time problem. The note discusses the multiplicity of equilibria under non-constant discounting, calculates the bounds of the set of candidate steady states, and Pareto ranks the equilibria.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1016/j.jet.2005.07.006
ISSNs: 0022-0531 (print)
Related URLs:
Keywords: hyperbolic discounting, time consistency, markov equilibria, non-uniqueness, observational equivalence, pareto efficiency
Subjects: S Agriculture > S Agriculture (General)
H Social Sciences > HB Economic Theory
H Social Sciences > HD Industries. Land use. Labor
Divisions : University Structure - Pre August 2011 > School of Social Sciences > Economics
ePrint ID: 39702
Accepted Date and Publication Date:
Date Deposited: 29 Jun 2006
Last Modified: 31 Mar 2016 12:09

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