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Econometrica Vol. 86 No. 3 2018

Saving and Dissaving With Hyperbolic Discounting

Dan Cao1; Iván Werning2

1 Georgetown University · 2 Department of Economics, MIT, 50 Memorial Drive, Cambridge, MA 02139, U.S.A.;

Abstract

Is the standard hyperbolic†discounting model capable of robust qualitative predictions for savings behavior? Despite results suggesting a negative answer, we provide a positive one. We give conditions under which all Markov equilibria display either saving at all wealth levels or dissaving at all wealth levels. Moreover, saving versus dissaving is determined by a simple condition comparing the interest rate to a threshold made up of impatience parameters only. Our robustness results illustrate a well†behaved side of the model and imply that qualitative behavior is determinate, dissipating indeterminacy concerns to the contrary (Krusell and Smith, 2003). We prove by construction that equilibria always exist and that multiplicity is present in some cases, highlighting that our robust predictions are not due to uniqueness. Similar results may be obtainable in related dynamic games, such as political economy models of public spending.

DOI
10.3982/ecta15112
Volume
86
Issue
3
Pages
805-857
Language
en
Sources
bibtex:phds-export.bib openalex crossref

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