A Boundedly Rational Decision-Making Model Based on Weakly Consistent Preference Relations

Completeness is one of the basic assumptions about the rational preference relation in classical decision theory. Strongly and weakly consistent preferences are presented by abandoning the completeness of the rational preference relation. Some expansion and contraction conditions are proposed and th...

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Main Authors: Xinlin Wu, Haiyan Xiao
Format: Article
Language:English
Published: MDPI AG 2022-04-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/14/5/918
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author Xinlin Wu
Haiyan Xiao
author_facet Xinlin Wu
Haiyan Xiao
author_sort Xinlin Wu
collection DOAJ
description Completeness is one of the basic assumptions about the rational preference relation in classical decision theory. Strongly and weakly consistent preferences are presented by abandoning the completeness of the rational preference relation. Some expansion and contraction conditions are proposed and the relationships between these conditions of rationality are discussed. The relationships between the conditions of rationality and boundedly rational choice behavior based on strongly and weakly consistent preferences are analyzed and discussed. Furthermore, an example about the choices of chocolates with interval ordinal numbers is given to explain some of the main conclusions in this paper. The results can be used as references for the study of boundedly rational decisions.
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spelling doaj.art-5184ba49c5c14d8882180128fb5a9f562023-11-23T13:18:14ZengMDPI AGSymmetry2073-89942022-04-0114591810.3390/sym14050918A Boundedly Rational Decision-Making Model Based on Weakly Consistent Preference RelationsXinlin Wu0Haiyan Xiao1Department of Mathematics, Hubei University of Education, Wuhan 430205, ChinaDepartment of Mathematics, Hubei University of Education, Wuhan 430205, ChinaCompleteness is one of the basic assumptions about the rational preference relation in classical decision theory. Strongly and weakly consistent preferences are presented by abandoning the completeness of the rational preference relation. Some expansion and contraction conditions are proposed and the relationships between these conditions of rationality are discussed. The relationships between the conditions of rationality and boundedly rational choice behavior based on strongly and weakly consistent preferences are analyzed and discussed. Furthermore, an example about the choices of chocolates with interval ordinal numbers is given to explain some of the main conclusions in this paper. The results can be used as references for the study of boundedly rational decisions.https://www.mdpi.com/2073-8994/14/5/918bounded rationalityweakly consistent preferenceinterval ordinal number
spellingShingle Xinlin Wu
Haiyan Xiao
A Boundedly Rational Decision-Making Model Based on Weakly Consistent Preference Relations
Symmetry
bounded rationality
weakly consistent preference
interval ordinal number
title A Boundedly Rational Decision-Making Model Based on Weakly Consistent Preference Relations
title_full A Boundedly Rational Decision-Making Model Based on Weakly Consistent Preference Relations
title_fullStr A Boundedly Rational Decision-Making Model Based on Weakly Consistent Preference Relations
title_full_unstemmed A Boundedly Rational Decision-Making Model Based on Weakly Consistent Preference Relations
title_short A Boundedly Rational Decision-Making Model Based on Weakly Consistent Preference Relations
title_sort boundedly rational decision making model based on weakly consistent preference relations
topic bounded rationality
weakly consistent preference
interval ordinal number
url https://www.mdpi.com/2073-8994/14/5/918
work_keys_str_mv AT xinlinwu aboundedlyrationaldecisionmakingmodelbasedonweaklyconsistentpreferencerelations
AT haiyanxiao aboundedlyrationaldecisionmakingmodelbasedonweaklyconsistentpreferencerelations
AT xinlinwu boundedlyrationaldecisionmakingmodelbasedonweaklyconsistentpreferencerelations
AT haiyanxiao boundedlyrationaldecisionmakingmodelbasedonweaklyconsistentpreferencerelations