# Quasi Hyperbolic Discounting

## Listing Results Quasi Hyperbolic Discounting

### Economics2010c:Lecture6 Quasihyperbolicdiscounting

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9 Discount function Quasi-hyperbolic Exponential Hyperbolic Source: Authors’ calculations. Exponential:

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### Q Uasihyperbolic Discounting And Retirement

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5 We start with the simplest model that is relevant in (quasi-)hyperbolic discounting: a three-period model in which the middle period is the retirement decision period, period 0. The crucial intuition is that part of the payoff from self 0’s working accrues to self 1 through higher savings. But in a quasi-hyperbolic

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### Axiomatization And Measurement Of Quasihyperbolic …

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6 Quasi-hyperbolic discounting retains the property of time-separability but relaxes stationarity. However, the departure from stationarity is minimal: stationarity is satis- ed from period t= 1 onward; this property is referred to as quasi-stationarity. Further relaxations of stationarity have been proposed, for instance the generalized hyperbolic

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### O’Donoghue And Rabin: Naive QuasiHyperbolic Discounting

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9 Quasi-Hyperbolic Discounting: Special Case • O’Donoghue and Rabin (1999) assumed a ﬁnite time horizon, so adopt the ﬁnite-horizon version of the (,) model in Equation (1) with T periods. Then, for every 1 t T, U t = u t + XT ⌧=t+1 ⌧tu ⌧. • They also assumed that = 1. This assumption greatly simpliﬁes

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### QuasiHyperbolic Discounting And The Existence Of Time

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1 Keywords: Quasi-Hyperbolic Discounting; Retirement; Life-Cycle Consumption/Saving Theory; Time Inconsistency . 1. Introduction . Research findings from psychology have been used to gain insight into many of the important questions that are typically studied by economists. A prominent example is that of hyperbolic discounting, in which a sizable

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### QuasiHyperbolic Discounting And Dynamic Inconsistency

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7 Quasi-hyperbolic discounting: To get to quasi-hyperbolic discounting, start with our exponential discounter, with U (x0, x1, x2) = u (xo) + δu (x1) + δ²u (x2). A quasi-hyperbolic person has an additional present bias, such that every delayed utility counts even less from the point of view of today: U (x0, x1, x2) = u (xo) + βδu (x1

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### Hyperbolic Discounting Washington State University

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7 oHyperbolic discounting is different The discount between adjacent periods near term is much higher than the discount between adjacent periods far in the future Quasi hyperbolic with β=1/2 and δ=1,the discount between now and tomorrow is …

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### Hyperbolic Discounting Biases & Heuristics The

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7 Hyperbolic discounting can result in poor decision-making, because it incentivizes impulsivity and immediate gratification. 1 Decisions that prioritize short-term gratification often neglect and detract from our long-term well-being. Think of smoking: there is a quick rush of dopamine that is valued over one’s future health.

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### Time Preferences

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5 discounting with some other form Hyperbolic U(C) = ¥ å i=1 1 1+ki u(ci) quasi hyperbolic U(C) = u(c1)+ ¥ å i=2 bdiu(ci) Hyperbolic discounting is a pain to use, so people generally work with quasi hyperbolic discounting [Laibson 1997]

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### PresentBias, QuasiHyperbolic Discounting, And Fixed Costs

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3 property, notably hyperbolic discounting and quasi-hyperbolic discounting have been suggested.2 Another important regularity pertaining to time preferences, referred to as the magnitude e⁄ect, is the observation that discounting declines with the amount to be discounted.

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### 14.13 Spring 2020 Recitation 2: Exponential Vs. Quasi

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3 Why is the quasi-hyperbolic discounting model a better ﬁt, at least in some situations? Its two parameters allow for short-run impatience and long-run patience It predicts time-inconsistent behavior and demand for commitment. 14. Quasi-hyperbolic discounting. Algorithm.

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### The Implications Of Hyperbolic Discounting

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7 } as quasi-hyperbolic. Figure 1 graphs the exponential discount function for 6 = 0.97, the hyperbolic discounting function with a 105 and y = 5x103, and the quasi-hyperbolic discounting function with 3 = 0.6 and 5 = 0.99. To illustrate the time-inconsistency problems to which quasi-hyperbolic preferences give

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### Quasihyperbolic Discounting And Retirement ScienceDirect

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7 We start with the simplest model that is relevant in (quasi-)hyperbolic discounting: a three-period model in which the middle period is the retirement decision period, period 0. The crucial intuition is that part of the payoff from self 0’s working accrues to self 1 through higher savings.

Publish Year: 2003
Author: Peter A. Diamond, Botond Koszegi
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### Global Warming And Hyperbolic Discounting

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5 consistent quasi-hyperbolic discounting alleviates both of these modeling problems, and is a plausible description of how people think about the future. We analyze the time-consistent Markov Perfect equilibrium in a general model with a stock pollutant. The solution to the linear-quadratic

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### What Is Hyperbolic Discounting? How Does It Apply To

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7 Definition: ‍ Hyperbolic discounting happens when people show a preference for a reward that arrives sooner rather than later. ‍ According to hyperbolic discounting, valuations fall relatively rapidly for earlier delay periods (as in, from now to one week), but then fall more slowly for longer delay periods (for instance, more than a few days).

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1 horizon.4 In the quasi-hyperbolic discounting model the subject-ive distance between periods 0 and 1 (measured by ) is larger than the subjective distance between periods 1 and 2 (measured by ), which is the reason behind the preference pattern (1a)–(1b). We uncover the parameter by increasing the second distance

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### Presentbias, Quasihyperbolic Discounting, And Fixed

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7 A classic example of present bias is quasi-hyperbolic discounting, as adopted e.g., by Laibson (1997) and O’Donoghue and Rabin (1999), in which the cost associated with future rewards is variable, that is, is proportional to the amount of the reward. The specification of present bias we estimate in this paper allows also for fixed costs

Publish Year: 2010
Author: Jess Benhabib, Alberto Bisin, Andrew Schotter
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### QuasiHyperbolic Discounting And Social Security Systems

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8 2. Quasi-Hyperbolic Discounting and Time Inconsistency Assume an individual who lives T periods (T ≥3) and derives utility from consumption at each period. The utility function of the individual in period t is uc() t and we make the standard assumptions regarding this function, namely uc u c′′′() tt><0, 0 . Suppose that life-cycle

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### 14.13 Spring 20 Lectures 3 And 4: Time Preferences (Theory)

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8 Evidence against exponential discounting Quasi-hyperbolic discounting Sophistication vs. na¨ıvet´e References . Psychology and Economics. 1 . 14.13 . Lectures 3 and 4: Time Preferences (Theory) Frank Schilbach . MIT . February 10 and 12, 2020 . 1. These lecture slides are partially based on notes by Botond K˝oszegi and David Laibson. I would

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### Quasihyperbolic Discounting And Commitment Savings

6 Quasi-hyperbolic time-inconsistent preferences¶ A relatively simple way to model present-biased and time-inconsistent preferences is by moderling prefernces using quasi-hyperbolic preferences as follows. The key idea in what follows is that the agent’s preferences change from period to period. The problem can be described in broad terms like

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### Hyperbolic Discounting: An Experimental Analysis

$4 Off Present Eml.berkeley.edu Show details 3 hyperbolic discounting, as well as various forms of present bias, including quasi-hyperbolic discounting. The data strongly favor a speci–cation with a small present bias in the form of a –xed cost, of the order of$4 on average across subjects. In

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### QuasiHyperbolic Discounting And Delayed Retirement

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1 Quasi-Hyperbolic Discounting, Retirement, Life-Cycle Consumption and Saving 1. Introduction Motivated by research findings in psychology and experimental economics, hyperbolic (or quasi-hyperbolic) discounting has become a conventional way to model and represent a divergence between earlier intentions and later choices1,2. Some prominent

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### QuasiHyperbolic Discounting And Delayed Retirement

9 Motivated by –ndings in psychology and experimental economics, hyperbolic (or quasi-hyperbolic) discounting has become a convenient way to represent impulsive decision making and self-control failure.1 Many of the popular applications of hyperbolic discounting in economics concern delayed saving for retirement and the overaccumulation of debt.

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### THE IMPLICATIONS OF HYPERBOLIC DISCOUNTING FOR …

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7 5x103, and the quasi-hyperbolic discounting function with ß = 0.6 and d = 0.99. To illustrate the time-inconsistency problems to which quasi-hyperbolic preferences give rise, consider what happens if self 0 chooses the consumption sequence (c

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3 Help us caption and translate this video on Amara.org: http://www.amara.org/en/v/BrdA/Help us caption & translate this video!http://amara.org/v/BrdA/

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### Some Common Confusions About Hyperbolic Discounting

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5 (b) \Hyperbolic discounting" does not, as commonly used, mean dis-counting using a hyperbolic function. The standard way to model hyper-bolic discounting is with the \quasi-hyperbolic discounting" of David Laibson (1997), which is simpler to use than a hyperbolic function and has similar

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### (PDF) QuasiHyperbolic Discounting And The Existence Of

2 Keywords: Quasi-Hyperbolic Discounting; Retirement; Life-Cycle Consumption/Saving Theory; Time Inconsistency 1. Introduction some of the most important economic applications of hyperbolic discounting.3 Yet, the established literature on Research findings from psychology have been used to hyperbolic discounting and life-cycle saving behavior

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### QuasiHyperbolic Discounting And Retirement By Peter A

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8 This paper extends Laibson's quasi-hyperbolic discounting savings model, in which each intertemporal self realizes that her time discount structure will lead to preference changes, and thus plays a game with her future selves. By making retirement endogenous, savings affect both consumption and work in the future.

Publish Year: 2000
Author: Peter A. Diamond, Peter A. Diamond, Peter A. Diamond, Botond Koszegi
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### Presentbias, Quasihyperbolic Discounting, And Fixed

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1 In this paper we elicit preferences for money-time pairs via experimental techniques. We estimate a general specification of discounting that nests exponential and hyperbolic discounting, as well as various forms of present bias, including quasi-hyperbolic discounting.We find that discount rates are high and decline with both delay and amount, as most of the previous literature.

Publish Year: 2010
Author: Jess Benhabib, Alberto Bisin, Andrew Schotter
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### Because There Are Costs To Changing Prices Non Zero

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2 Quasi-hyperbolic discounting makes all of these variables more sensitive to the price-elasticity shock because it changes the relative demand for current consumption such that a bigger change in the relative price of consumption (the real interest rate) is required to induce households to defer consumption.

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### Hyperbolic Discounting Decision BoundariesDecision

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6 Second, economist David Laibson has accounted for several phenomena using a particularly simple form of “quasi-hyperbolic” discounting. Here, future rewards are discounted by a factor of \beta k^t for any t > 0 where \beta. This implies that people discount future rewards by a constant factor to reflect the presence of a delay.

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### QuasiHyperbolic Discounting And Delayed Retirement

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5 Feigenbaum, J. and Findley, T. (2015) Quasi-Hyperbolic Discounting and Delayed Retirement. Theoretical Economics Letters, 5, 325-331. doi: 10.4236/tel.2015.52038.

Publish Year: 2015
Author: James A. Feigenbaum, T. Scott Findley
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### Encyc Hyperbolic Discounting Behaviorlab.org

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8 Alternatively, hyperbolic discounting reduces a future reward by a factor of 1 / (1 + kt) β/α where α and β are greater than zero. The term “hyperbolic” is used because this formula is the generalized function for a hyperbola. With hyperbolic discounting, the rate of discounting decreases as the delay occurs further in the future.

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### Behavioural Economics GitHub Pages

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0 behavioural economic alternative—quasi-hyperbolic discounting [email protected] Behavioural Economics. Behavioural Economics mark.hurlstone @uwa.edu.au Outline Intertemporal Choice Exponential Discounting Discount Factor Utility Streams Delta Model Implications Indifference Discount Rates Limitations Hyperbolic

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### ARTICLE IN PRESS YGAME:1750

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5 A classic example of present bias is quasi-hyperbolic discounting, as adopted e.g., by Laibson (1997) and O’Donoghue and Rabin (1999), in which the cost associated with future rewards is variable, that is, is proportional to the amount of the reward. The speciﬁcation of present bias we estimate in this paper allows also for

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### Naive Agents With Quasihyperbolic Discounting And Perfect

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1 Downloadable! We consider the Ramsey growth model with quasi-hyperbolic discounting where the agent cannot commit to future actions and is naive about her time inconsistency. We study the problem of observational equivalence, i.e., whether consumption paths are the same under quasi-hyperbolic and exponential discounting. To describe the …

Publish Year: 2020
Author: Kirill Borissov, Mikhail Pakhnin, Ronald Wendner
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### QuasiHyperbolic Discounting And Retirement

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4 Hyperbolic discounting and quasi hyperbolic discounting are both confirmed empirically [Baddeley 2013; Diamond and Koszegi 2003; Brunhart 2008]. The perceived value of future income is much less

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### The Hyperbolic Consumption Model: Calibration, Simulation

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5 adopted the phrase “quasi-hyperbolic” to emphasize the connection to the “hyper-bolic discounting” literature in psychology (Ainslie, 1992). O’Donoghue and Rabin (1999a) call these preferences “present biased.” Krusell and Smith (2000) call the preferences “quasi-geometric.” Akerlof (1991) used a similar discount function to

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### Hyperbolic Discounting Breaking Down Finance

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9 Hyperbolic discounting is the tendency for being short sided and therefore adjusting our behavior accordingly. By being aware of this tendency to perform hyperbolic discounting, we can account for the effect and more consciously make decisions that have future consequences.

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### Dynamic Nonlinear Income Taxation With QuasiHyperbolic

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3 of quasi-hyperbolic discounting and redistribute from high-skill to low-skill individuals. Bassi examines the e⁄ects of incorporating quasi-hyperbolic discounting into a dynamic Mirrlees model, but he assumes full commitment with the focus on showing how quasi-hyperbolic discounting makes a case for taxing savings. Aronsson and Granlund explore

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### Saving And Retirement Behavior Under Quasihyperbolic

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9 Downloadable (with restrictions)! This paper investigates saving and retirement behavior using a quasi-hyperbolic discounting model with endogenous labor supply. The behavior of quasi-hyperbolic-discounting consumers is compared with optimal behavior, which is obtained under exponential discounting. The quasi-hyperbolic discounters, whether naïve or sophisticated, …

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### QuasiHyperbolic Discounting And Retirement Request PDF

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4 Some people have self-control problems regularly. This paper adds endogenous retirement to Laibson’s quasi-hyperbolic discounting savings model [Quarterly Journal of Economics 112 (1997) 443–477].

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### Exponential Vs. Hyperbolic Discounting YouTube

3 http://www.sustainableengineeringsystems.comBoth exponential and hyperbolic discount factor functions provide a feasible basis for modeling time preference.

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### NAIVETÉ ABOUT TEMPTATION AND SELFCONTROL: …

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7 quasi-hyperbolic discounting with self-control for an individual who is jointly overop-timistic about her present-bias factor and her ability to resist instant grati cation. We study the implications of our proposed comparison of naivet e for the parame-ters of the recursive representation. Finally, we discuss the obstacles that preclude

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