On freedom of choice and infinite sets: The Suprafinite Rule

Miguel A. Ballester; Juan R. De Miguel

doi:https://doi.org/10.1016/j.jmateco.2005.12.001

On freedom of choice and infinite sets: The Suprafinite Rule

Miguel A. Ballester, Juan R. De Miguel

Department of Economics and Economic History

Research output: Contribution to journal › Article › Research › peer-review

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. © 2006 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	291-300
Journal	Journal of Mathematical Economics
Volume	42
DOIs	https://doi.org/10.1016/j.jmateco.2005.12.001
Publication status	Published - 1 Jun 2006

Keywords

Freedom of choice
Power set
Ranking opportunity sets
Set-inclusion

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AU - De Miguel, Juan R.

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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

U2 - https://doi.org/10.1016/j.jmateco.2005.12.001

DO - https://doi.org/10.1016/j.jmateco.2005.12.001

M3 - Article

VL - 42

SP - 291

EP - 300

JO - Journal of Mathematical Economics

JF - Journal of Mathematical Economics

SN - 0304-4068

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