In accounting for the phenomenon of present bias, the hyperbolic discounting and quasi-hyperbolic discounting models have distinct predictions beyond today. We provide experimental evidence supporting diminishing rate of discounting beyond present period under careful experimental controls. In...

Hyperbolic discounting and lack of self-control are different phenomena that share the property of dynamic inconsistency. Despite being different, these two concepts have been extensively conflated and confused in Economics. I review the definitions and properties of both concepts, the...

We examine the confounding between models of intertemporal choice. Critical outputs from hyperbolic, exponential and arithmetic discounting are all highly multicolinear in commonly used research designs. This confounding means that if one model defines a participant as impulsive, they all will:...

This paper argues that, to be forward-looking in a logically consistent sense, a decision maker must take account of his overall well-being, not just his instantaneous utility, in all future periods. However, such a decision-maker is necessarily time inconsistent. The paper explores the...

Analysis of an original nationwide Internet survey reveals that health-related behavior shows associations with three aspects of time discounting: (i) impatience, measured by the overall discount rate; (ii) present bias, measured by the degree of declining impatience in the generalized hyperbolic...

This paper introduces the concept of categorizing the amount and speed of a discounting procedure in order to generate well-characterized families of procedures for use in social project evaluation. Exponential discounting isolates the concepts of amount and speed into a single parameter that...

In this paper I propose a time-consistent method of discounting hyperbolically and apply it to three canonical environmental problems: (i) optimal renewable resource use, (ii) the tragedy of the commons, (iii) economic growth and pollution. I then compare results with those for conventional...

In this paper I propose a time-consistent method of discounting hyperbolically that contains the discount rate implied by Gamma discounting as a special case. I apply the discounting method to three canonical environmental problems: (i) optimal renewable resource use, (ii) the tragedy of the...

We prove that the standard quasi-geometric discounting model used in dynamic consumer theory and political economics does not possess continuous Markov perfect equilibria (MPE) if there is a strictly positive lower bound on wealth. We also show that, at points of discontinuity, the decision...

Two-Stage Exponential (TSE) discounting, the model developed here, generalises exponential discounting in a parsimonious way. It can be seen as an extension of Quasi-Hyperbolic discounting to continuous time. A TSE discounter has a constant rate of time preference before and after some threshold...