Hyperbolic discounting and endogenous growth

This paper provides the closed form solution for the standard model of endogenous growth when consumers have present-biased preferences and make time-inconsistent savings plans, which they revise continuously. It is shown that long-run growth is not necessarily lower under present-biased preferences. In fact, a strong equivalence result holds. If hyperbolic discounting provides the same present value of a constant infinite income stream as standard exponential discounting, then the equilibrium rate of economic growth is also the same under both discounting methods. In this sense present-bias preferences are harmless for economic growth.

[1]  F. Caliendo,et al.  Discount Functions and Self-Control Problems , 2013 .

[2]  Raj Chetty,et al.  A New Method of Estimating Risk Aversion , 2003 .

[3]  H. Strulik,et al.  The physiological foundations of the wealth of nations , 2010, Journal of Economic Growth.

[4]  Per Krusell,et al.  Equilibrium Welfare and Government Policy with Quasi-Geometric Discounting , 2001, J. Econ. Theory.

[5]  Shanefrederick,et al.  Time Discounting and Time Preference : A Critical Review , 2022 .

[6]  P. Romer Increasing Returns and Long-Run Growth , 1986, Journal of Political Economy.

[7]  David Laibson,et al.  Hyperbolic Discount Functions, Undersaving, and Savings Policy , 1996 .

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

[9]  Ingmar Schumacher,et al.  Endogenous discounting via wealth, twin-peaks and the role of technology , 2006 .

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

[11]  David I. Laibson,et al.  Life-cycle consumption and hyperbolic discount functions , 1998 .

[12]  Holger Strulik,et al.  Patience and prosperity , 2012, J. Econ. Theory.

[13]  Casey B. Mulligan,et al.  The Endogenous Determination of Time Preference , 1997 .

[14]  Thomas Steger Economic Growth with Subsistence Consumption , 2000 .

[15]  F. Caliendo,et al.  Interacting Mechanisms of Time Inconsistency , 2013 .

[16]  A NOTE ON ECONOMIC GROWTH WITH SUBSISTENCE CONSUMPTION , 2010, Macroeconomic Dynamics.

[17]  S. Rebelo,et al.  Long-Run Policy Analysis and Long-Run Growth , 1990, Journal of Political Economy.

[18]  M. Das,et al.  Optimal growth with decreasing marginal impatience , 2003 .

[19]  Jean-Pierre Drugeon Impatience and long-run growth , 1996 .

[20]  M. Obstfeld Intertemporal dependence, impatience, and dynamics☆ , 1990 .

[21]  C. Carroll,et al.  Mathematica code for 'Saving and Growth with Habit Formation' and 'Comparison Utility in a Growth Model' , 2000 .

[22]  L. Green,et al.  Area under the curve as a measure of discounting. , 2001, Journal of the experimental analysis of behavior.

[23]  Anthony A. Smith,et al.  Consumption--Savings Decisions with Quasi--Geometric Discounting , 2003 .

[24]  Larry G. Epstein,et al.  The Rate of Time Preference and Dynamic Economic Analysis , 1983, Journal of Political Economy.

[25]  T. Palivos,et al.  On the Existence of Balanced Growth Equilibrium , 1997 .

[26]  H. Strulik A NOTE ON ECONOMIC GROWTH WITH SUBSISTENCE CONSUMPTION , 2008, Macroeconomic Dynamics.