Jumping to Conclusion? A Lévy Flight Model of Decision Making

The diffusion model is one of the most prominent response time models in cognitive psychology. The model describes evidence accumulation as a stochastic process that runs between two boundaries until a threshold is hit, and a decision is made. The model assumes that information accumulation follows...

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Main Authors: Wieschen, Eva Marie, Voss, Andreas, Radev, Stefan
Format: Article
Language:English
Published: Université d'Ottawa 2020-04-01
Series:Tutorials in Quantitative Methods for Psychology
Subjects:
Online Access:https://www.tqmp.org/RegularArticles/vol16-2/p120/p120.pdf
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author Wieschen, Eva Marie
Voss, Andreas
Radev, Stefan
author_facet Wieschen, Eva Marie
Voss, Andreas
Radev, Stefan
author_sort Wieschen, Eva Marie
collection DOAJ
description The diffusion model is one of the most prominent response time models in cognitive psychology. The model describes evidence accumulation as a stochastic process that runs between two boundaries until a threshold is hit, and a decision is made. The model assumes that information accumulation follows a Wiener diffusion process with normally distributed noise. However, the model's assumption of Gaussian noise might not be the optimal description of decision making. We argue that Lévy flights, incorporating more heavy-tailed, non-Gaussian noise, might provide a more accurate description of actual decision processes. In contrast to diffusion processes, Lévy flights are characterized by larger jumps in the decision process. To further examine this proposal, we compare the fit of the basic diffusion model and the full diffusion model (including inter-trial variability of starting-point, drift rate and non-decisional processes) to the fit of a simple and a complex version of a Lévy flight model. In the latter model, the heavy-tailedness of noise distributions was estimated by an additional free stability parameter alpha. Participants completed 500 trials of a color discrimination task and 400 trials of a lexical decision task. Results indicate that a complex Lévy flight model -including inter-trial variability parameters and alpha- shows the best fit in both tasks. Importantly, alpha-values correlated across tasks, indicating a trait-like nature of this parameter.
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spelling doaj.art-3dbe614ff6e0429dbe88ba7d5d932b012022-12-21T18:40:10ZengUniversité d'OttawaTutorials in Quantitative Methods for Psychology1913-41262020-04-0116212013210.20982/tqmp.16.2.p120Jumping to Conclusion? A Lévy Flight Model of Decision MakingWieschen, Eva MarieVoss, AndreasRadev, StefanThe diffusion model is one of the most prominent response time models in cognitive psychology. The model describes evidence accumulation as a stochastic process that runs between two boundaries until a threshold is hit, and a decision is made. The model assumes that information accumulation follows a Wiener diffusion process with normally distributed noise. However, the model's assumption of Gaussian noise might not be the optimal description of decision making. We argue that Lévy flights, incorporating more heavy-tailed, non-Gaussian noise, might provide a more accurate description of actual decision processes. In contrast to diffusion processes, Lévy flights are characterized by larger jumps in the decision process. To further examine this proposal, we compare the fit of the basic diffusion model and the full diffusion model (including inter-trial variability of starting-point, drift rate and non-decisional processes) to the fit of a simple and a complex version of a Lévy flight model. In the latter model, the heavy-tailedness of noise distributions was estimated by an additional free stability parameter alpha. Participants completed 500 trials of a color discrimination task and 400 trials of a lexical decision task. Results indicate that a complex Lévy flight model -including inter-trial variability parameters and alpha- shows the best fit in both tasks. Importantly, alpha-values correlated across tasks, indicating a trait-like nature of this parameter.https://www.tqmp.org/RegularArticles/vol16-2/p120/p120.pdflévy flightsdiffusion modeldecision making
spellingShingle Wieschen, Eva Marie
Voss, Andreas
Radev, Stefan
Jumping to Conclusion? A Lévy Flight Model of Decision Making
Tutorials in Quantitative Methods for Psychology
lévy flights
diffusion model
decision making
title Jumping to Conclusion? A Lévy Flight Model of Decision Making
title_full Jumping to Conclusion? A Lévy Flight Model of Decision Making
title_fullStr Jumping to Conclusion? A Lévy Flight Model of Decision Making
title_full_unstemmed Jumping to Conclusion? A Lévy Flight Model of Decision Making
title_short Jumping to Conclusion? A Lévy Flight Model of Decision Making
title_sort jumping to conclusion a levy flight model of decision making
topic lévy flights
diffusion model
decision making
url https://www.tqmp.org/RegularArticles/vol16-2/p120/p120.pdf
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AT radevstefan jumpingtoconclusionalevyflightmodelofdecisionmaking