A New Approach to Intertemporal Choice: The Delay Function

The framework of this paper is intertemporal choice, which traditionally has been studied with preference relations and discount functions. However, the interest of econophysics in this topic makes time become a central magnitude. Therefore, the aim of this paper is to introduce the concept of delay...

Full description

Bibliographic Details
Main Authors: Salvador Cruz Rambaud, Isabel González Fernández
Format: Article
Language:English
Published: MDPI AG 2020-05-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/12/5/807
_version_ 1797568130990473216
author Salvador Cruz Rambaud
Isabel González Fernández
author_facet Salvador Cruz Rambaud
Isabel González Fernández
author_sort Salvador Cruz Rambaud
collection DOAJ
description The framework of this paper is intertemporal choice, which traditionally has been studied with preference relations and discount functions. However, the interest of econophysics in this topic makes time become a central magnitude. Therefore, the aim of this paper is to introduce the concept of delay function and, by using this tool, to analyze the concept of impatience and the different types of inconsistency. In behavioral finance, consistency is correlated with the concept of symmetry because, in this case, the indifference between two rewards does not change when the same delay is added to their respective availability dates. Moreover, we have shown the way to derive a discount (respectively, delay) function starting from the expression of its corresponding delay (respectively, discount) function by requiring some suitable conditions for this construction. Finally, we have deduced the concept of instantaneous variation rate and Prelec’s measure of inconsistency in terms of the delay function.
first_indexed 2024-03-10T19:53:04Z
format Article
id doaj.art-eaaf9cdcd3c2490293b7a55cb24d47f7
institution Directory Open Access Journal
issn 2073-8994
language English
last_indexed 2024-03-10T19:53:04Z
publishDate 2020-05-01
publisher MDPI AG
record_format Article
series Symmetry
spelling doaj.art-eaaf9cdcd3c2490293b7a55cb24d47f72023-11-20T00:17:07ZengMDPI AGSymmetry2073-89942020-05-0112580710.3390/sym12050807A New Approach to Intertemporal Choice: The Delay FunctionSalvador Cruz Rambaud0Isabel González Fernández1Departamento de Economía y Empresa, Universidad de Almería, La Cañada de San Urbano, s/n, 04120 Almería, SpainDepartamento de Economía y Empresa, Universidad de Almería, La Cañada de San Urbano, s/n, 04120 Almería, SpainThe framework of this paper is intertemporal choice, which traditionally has been studied with preference relations and discount functions. However, the interest of econophysics in this topic makes time become a central magnitude. Therefore, the aim of this paper is to introduce the concept of delay function and, by using this tool, to analyze the concept of impatience and the different types of inconsistency. In behavioral finance, consistency is correlated with the concept of symmetry because, in this case, the indifference between two rewards does not change when the same delay is added to their respective availability dates. Moreover, we have shown the way to derive a discount (respectively, delay) function starting from the expression of its corresponding delay (respectively, discount) function by requiring some suitable conditions for this construction. Finally, we have deduced the concept of instantaneous variation rate and Prelec’s measure of inconsistency in terms of the delay function.https://www.mdpi.com/2073-8994/12/5/807econophysicsintertemporal choicedelay functioninconsistencyincreasing impatiencemoderately decreasing impatience
spellingShingle Salvador Cruz Rambaud
Isabel González Fernández
A New Approach to Intertemporal Choice: The Delay Function
Symmetry
econophysics
intertemporal choice
delay function
inconsistency
increasing impatience
moderately decreasing impatience
title A New Approach to Intertemporal Choice: The Delay Function
title_full A New Approach to Intertemporal Choice: The Delay Function
title_fullStr A New Approach to Intertemporal Choice: The Delay Function
title_full_unstemmed A New Approach to Intertemporal Choice: The Delay Function
title_short A New Approach to Intertemporal Choice: The Delay Function
title_sort new approach to intertemporal choice the delay function
topic econophysics
intertemporal choice
delay function
inconsistency
increasing impatience
moderately decreasing impatience
url https://www.mdpi.com/2073-8994/12/5/807
work_keys_str_mv AT salvadorcruzrambaud anewapproachtointertemporalchoicethedelayfunction
AT isabelgonzalezfernandez anewapproachtointertemporalchoicethedelayfunction
AT salvadorcruzrambaud newapproachtointertemporalchoicethedelayfunction
AT isabelgonzalezfernandez newapproachtointertemporalchoicethedelayfunction