New designs for research in delay discounting

The two most influential models in delay discounting research have been the exponential (E) and hyperbolic (H) models. We develop a new methodology to design binary choice questions such that exponential and hyperbolic discount rates can be purposefully manipulated to make their rate parameters orth...

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Main Authors: John R. Doyle, Catherine H. Chen, Krishna Savani, Andreas Glöckner, Benjamin E. Hilbig
Format: Article
Language:English
Published: Cambridge University Press 2011-12-01
Series:Judgment and Decision Making
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S1930297500004198/type/journal_article
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author John R. Doyle
Catherine H. Chen
Krishna Savani
Andreas Glöckner
Benjamin E. Hilbig
author_facet John R. Doyle
Catherine H. Chen
Krishna Savani
Andreas Glöckner
Benjamin E. Hilbig
author_sort John R. Doyle
collection DOAJ
description The two most influential models in delay discounting research have been the exponential (E) and hyperbolic (H) models. We develop a new methodology to design binary choice questions such that exponential and hyperbolic discount rates can be purposefully manipulated to make their rate parameters orthogonal (Pearson’s R = 0), negatively correlated (R = –1), positively correlated (R = +1), or to hold one rate constant while allowing the other to vary. Then we extend the method to similarly contrast different versions of the hyperboloid model. The arithmetic discounting model (A), which is based on differences between present and future rewards rather than their ratios, may easily be made orthogonal to any other pair of models. Our procedure makes it possible to design choice stimuli that precisely vary the relationship between different discount rates. However, the additional control over the correlation between different discount rate parameters may require the researcher to either restrict the range that those rate parameters can take, or to expand the range of times the participant must wait for future rewards.
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spelling doaj.art-d8966abcc41643c8bb1f9b2b25c6f3db2023-09-03T12:44:19ZengCambridge University PressJudgment and Decision Making1930-29752011-12-01675977010.1017/S1930297500004198New designs for research in delay discountingJohn R. Doyle0Catherine H. Chen1Krishna Savani2Andreas GlöcknerBenjamin E. HilbigCardiff Business School, Aberconway Building, Colum Drive, Cardiff University, Cardiff, UK. CF10 3EUDepartment of Accounting and Finance, Middlesex UniversityGraduate School of Business, Columbia UniversityThe two most influential models in delay discounting research have been the exponential (E) and hyperbolic (H) models. We develop a new methodology to design binary choice questions such that exponential and hyperbolic discount rates can be purposefully manipulated to make their rate parameters orthogonal (Pearson’s R = 0), negatively correlated (R = –1), positively correlated (R = +1), or to hold one rate constant while allowing the other to vary. Then we extend the method to similarly contrast different versions of the hyperboloid model. The arithmetic discounting model (A), which is based on differences between present and future rewards rather than their ratios, may easily be made orthogonal to any other pair of models. Our procedure makes it possible to design choice stimuli that precisely vary the relationship between different discount rates. However, the additional control over the correlation between different discount rate parameters may require the researcher to either restrict the range that those rate parameters can take, or to expand the range of times the participant must wait for future rewards.https://www.cambridge.org/core/product/identifier/S1930297500004198/type/journal_articledelay discountingexponential discountinghyperbolic discountingarithmetic discountingmodel separationExcel Solver
spellingShingle John R. Doyle
Catherine H. Chen
Krishna Savani
Andreas Glöckner
Benjamin E. Hilbig
New designs for research in delay discounting
Judgment and Decision Making
delay discounting
exponential discounting
hyperbolic discounting
arithmetic discounting
model separation
Excel Solver
title New designs for research in delay discounting
title_full New designs for research in delay discounting
title_fullStr New designs for research in delay discounting
title_full_unstemmed New designs for research in delay discounting
title_short New designs for research in delay discounting
title_sort new designs for research in delay discounting
topic delay discounting
exponential discounting
hyperbolic discounting
arithmetic discounting
model separation
Excel Solver
url https://www.cambridge.org/core/product/identifier/S1930297500004198/type/journal_article
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AT catherinehchen newdesignsforresearchindelaydiscounting
AT krishnasavani newdesignsforresearchindelaydiscounting
AT andreasglockner newdesignsforresearchindelaydiscounting
AT benjaminehilbig newdesignsforresearchindelaydiscounting