The class of opportunity filters and the preference revealed by a path independent choice function
Autor(a) principal: | |
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Data de Publicação: | 2009 |
Tipo de documento: | Artigo |
Idioma: | por |
Título da fonte: | Nova Economia (Online) |
Texto Completo: | https://revistas.face.ufmg.br/index.php/novaeconomia/article/view/426 |
Resumo: | The purpose of this paper is to replicate the theory developed by Gekker (2001), without using any monotonicity assumption. We however retain a non-triviality assumption implicit in Gekker (2001), which says that there is at least one opportunity set which is preferred to the no-choice situation. In addition we require our preference relation on opportunity sets to be transitive (as in Gekker, 2001), reflexive and satisfy an assumption called minimal comparability, which requires every opportunity set to be comparable with the null set. We also show that there exists a preference relation on the power set of the set of alternatives, revealed by a path independent choice function, which satisfies all the properties that we require of a binary relation to satisfy on the power set of the set of alternatives. |
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Nova Economia (Online) |
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The class of opportunity filters and the preference revealed by a path independent choice functionThe class of opportunity filters and the preference revealed by a path independent choice functionopportunity filterspreference relationschoice functionspath independence.opportunity filterspreference relationschoice functionspath independence.The purpose of this paper is to replicate the theory developed by Gekker (2001), without using any monotonicity assumption. We however retain a non-triviality assumption implicit in Gekker (2001), which says that there is at least one opportunity set which is preferred to the no-choice situation. In addition we require our preference relation on opportunity sets to be transitive (as in Gekker, 2001), reflexive and satisfy an assumption called minimal comparability, which requires every opportunity set to be comparable with the null set. We also show that there exists a preference relation on the power set of the set of alternatives, revealed by a path independent choice function, which satisfies all the properties that we require of a binary relation to satisfy on the power set of the set of alternatives.The purpose of this paper is to replicate the theory developed by Gekker (2001), without using any monotonicity assumption. We however retain a non-triviality assumption implicit in Gekker (2001), which says that there is at least one opportunity set which is preferred to the no-choice situation. In addition we require our preference relation on opportunity sets to be transitive (as in Gekker, 2001), reflexive and satisfy an assumption called minimal comparability, which requires every opportunity set to be comparable with the null set. We also show that there exists a preference relation on the power set of the set of alternatives, revealed by a path independent choice function, which satisfies all the properties that we require of a binary relation to satisfy on the power set of the set of alternatives.Departamento de Ciências Econômicas da UFMG2009-06-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://revistas.face.ufmg.br/index.php/novaeconomia/article/view/426Nova Economia; Vol. 14 No. 1 (2004)Nova Economia; v. 14 n. 1 (2004)1980-53810103-6351reponame:Nova Economia (Online)instname:Universidade Federal de Minas Gerais (UFMG)instacron:UFMGporhttps://revistas.face.ufmg.br/index.php/novaeconomia/article/view/426/424Lahiri, Somdebinfo:eu-repo/semantics/openAccess2020-08-10T23:20:33Zoai:ojs.pkp.sfu.ca:article/426Revistahttps://revistas.face.ufmg.br/index.php/novaeconomiaPUBhttps://revistas.face.ufmg.br/index.php/novaeconomia/oai||ne@face.ufmg.br1980-53810103-6351opendoar:2020-08-10T23:20:33Nova Economia (Online) - Universidade Federal de Minas Gerais (UFMG)false |
dc.title.none.fl_str_mv |
The class of opportunity filters and the preference revealed by a path independent choice function The class of opportunity filters and the preference revealed by a path independent choice function |
title |
The class of opportunity filters and the preference revealed by a path independent choice function |
spellingShingle |
The class of opportunity filters and the preference revealed by a path independent choice function Lahiri, Somdeb opportunity filters preference relations choice functions path independence. opportunity filters preference relations choice functions path independence. |
title_short |
The class of opportunity filters and the preference revealed by a path independent choice function |
title_full |
The class of opportunity filters and the preference revealed by a path independent choice function |
title_fullStr |
The class of opportunity filters and the preference revealed by a path independent choice function |
title_full_unstemmed |
The class of opportunity filters and the preference revealed by a path independent choice function |
title_sort |
The class of opportunity filters and the preference revealed by a path independent choice function |
author |
Lahiri, Somdeb |
author_facet |
Lahiri, Somdeb |
author_role |
author |
dc.contributor.author.fl_str_mv |
Lahiri, Somdeb |
dc.subject.por.fl_str_mv |
opportunity filters preference relations choice functions path independence. opportunity filters preference relations choice functions path independence. |
topic |
opportunity filters preference relations choice functions path independence. opportunity filters preference relations choice functions path independence. |
description |
The purpose of this paper is to replicate the theory developed by Gekker (2001), without using any monotonicity assumption. We however retain a non-triviality assumption implicit in Gekker (2001), which says that there is at least one opportunity set which is preferred to the no-choice situation. In addition we require our preference relation on opportunity sets to be transitive (as in Gekker, 2001), reflexive and satisfy an assumption called minimal comparability, which requires every opportunity set to be comparable with the null set. We also show that there exists a preference relation on the power set of the set of alternatives, revealed by a path independent choice function, which satisfies all the properties that we require of a binary relation to satisfy on the power set of the set of alternatives. |
publishDate |
2009 |
dc.date.none.fl_str_mv |
2009-06-01 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
https://revistas.face.ufmg.br/index.php/novaeconomia/article/view/426 |
url |
https://revistas.face.ufmg.br/index.php/novaeconomia/article/view/426 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.none.fl_str_mv |
https://revistas.face.ufmg.br/index.php/novaeconomia/article/view/426/424 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Departamento de Ciências Econômicas da UFMG |
publisher.none.fl_str_mv |
Departamento de Ciências Econômicas da UFMG |
dc.source.none.fl_str_mv |
Nova Economia; Vol. 14 No. 1 (2004) Nova Economia; v. 14 n. 1 (2004) 1980-5381 0103-6351 reponame:Nova Economia (Online) instname:Universidade Federal de Minas Gerais (UFMG) instacron:UFMG |
instname_str |
Universidade Federal de Minas Gerais (UFMG) |
instacron_str |
UFMG |
institution |
UFMG |
reponame_str |
Nova Economia (Online) |
collection |
Nova Economia (Online) |
repository.name.fl_str_mv |
Nova Economia (Online) - Universidade Federal de Minas Gerais (UFMG) |
repository.mail.fl_str_mv |
||ne@face.ufmg.br |
_version_ |
1799711057287053312 |