On freedom of choice and infinite sets: The Suprafinite Rule

Miguel A. Ballester; Juan R. De Miguel

doi:10.1016/j.jmateco.2005.12.001

On freedom of choice and infinite sets: The Suprafinite Rule

Miguel A. Ballester, Juan R. De Miguel

Departament d'Economia i d'Història Econòmica

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Resum

We analyze the question of how to construct a preference relation over the subsets of an infinite set. We propose a rule to perform this task within an opportunity sets valuation approach which considers the determination of such preference relation from the basis of a finite kernel. We establish some properties of the rule and we analyze its relationships with two relevant properties of monotonicity in this framework. © 2006 Elsevier B.V. All rights reserved.

Idioma original	Anglès
Pàgines (de-a)	291-300
Revista	Journal of Mathematical Economics
Volum	42
DOIs	https://doi.org/10.1016/j.jmateco.2005.12.001
Estat de la publicació	Publicada - 1 de juny 2006

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10.1016/j.jmateco.2005.12.001

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title = "On freedom of choice and infinite sets: The Suprafinite Rule",

abstract = "We analyze the question of how to construct a preference relation over the subsets of an infinite set. We propose a rule to perform this task within an opportunity sets valuation approach which considers the determination of such preference relation from the basis of a finite kernel. We establish some properties of the rule and we analyze its relationships with two relevant properties of monotonicity in this framework. {\textcopyright} 2006 Elsevier B.V. All rights reserved.",

keywords = "Freedom of choice, Power set, Ranking opportunity sets, Set-inclusion",

author = "Ballester, \{Miguel A.\} and \{De Miguel\}, \{Juan R.\}",

year = "2006",

month = jun,

day = "1",

doi = "10.1016/j.jmateco.2005.12.001",

language = "English",

volume = "42",

pages = "291--300",

journal = "Journal of Mathematical Economics",

issn = "0304-4068",

publisher = "Elsevier",

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T1 - On freedom of choice and infinite sets: The Suprafinite Rule

AU - Ballester, Miguel A.

AU - De Miguel, Juan R.

PY - 2006/6/1

Y1 - 2006/6/1

N2 - We analyze the question of how to construct a preference relation over the subsets of an infinite set. We propose a rule to perform this task within an opportunity sets valuation approach which considers the determination of such preference relation from the basis of a finite kernel. We establish some properties of the rule and we analyze its relationships with two relevant properties of monotonicity in this framework. © 2006 Elsevier B.V. All rights reserved.

AB - We analyze the question of how to construct a preference relation over the subsets of an infinite set. We propose a rule to perform this task within an opportunity sets valuation approach which considers the determination of such preference relation from the basis of a finite kernel. We establish some properties of the rule and we analyze its relationships with two relevant properties of monotonicity in this framework. © 2006 Elsevier B.V. All rights reserved.

KW - Freedom of choice

KW - Power set

KW - Ranking opportunity sets

KW - Set-inclusion

UR - https://www.scopus.com/pages/publications/33645944403

U2 - 10.1016/j.jmateco.2005.12.001

DO - 10.1016/j.jmateco.2005.12.001

M3 - Article

SN - 0304-4068

VL - 42

SP - 291

EP - 300

JO - Journal of Mathematical Economics

JF - Journal of Mathematical Economics

ER -

On freedom of choice and infinite sets: The Suprafinite Rule

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