On the equivalence of the two existing extensions of the leximax criterion to the infinite case

R. Arlegi; M. Ballester; M. Besada; J. R. De Miguel; J. Nieto; C. Vázquez

doi:10.1016/j.mathsocsci.2007.06.004

On the equivalence of the two existing extensions of the leximax criterion to the infinite case

R. Arlegi, M. Ballester, M. Besada, J. R. De Miguel, J. Nieto, C. Vázquez

Department of Economics and Economic History

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

Abstract

Using a common framework, we consider the two existing extensions of the leximax criterion to infinite environments [Arlegi, R., Besada, M., Nieto, J., Vázquez, C., 2005. Freedom of choice: the leximax criterion in the infinite case. Mathematical Social Sciences 49, 1-15; Ballester, M., De Miguel, J.R., 2003. Extending an order to the power set: the leximax criterion. Social Choice and Welfare 21, 63-71], and show that, though the respective definitions of the rules and their axiomatic characterizations appear to differ considerably, they actually propose the same extension of the leximax criterion to the infinite case. © 2007 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	238-243
Journal	Mathematical Social Sciences
Volume	54
Issue number	3
DOIs	https://doi.org/10.1016/j.mathsocsci.2007.06.004
Publication status	Published - 1 Dec 2007

Keywords

Leximax
Preferences
Utility

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title = "On the equivalence of the two existing extensions of the leximax criterion to the infinite case",

abstract = "Using a common framework, we consider the two existing extensions of the leximax criterion to infinite environments [Arlegi, R., Besada, M., Nieto, J., V{\'a}zquez, C., 2005. Freedom of choice: the leximax criterion in the infinite case. Mathematical Social Sciences 49, 1-15; Ballester, M., De Miguel, J.R., 2003. Extending an order to the power set: the leximax criterion. Social Choice and Welfare 21, 63-71], and show that, though the respective definitions of the rules and their axiomatic characterizations appear to differ considerably, they actually propose the same extension of the leximax criterion to the infinite case. {\textcopyright} 2007 Elsevier B.V. All rights reserved.",

keywords = "Leximax, Preferences, Utility",

author = "R. Arlegi and M. Ballester and M. Besada and {De Miguel}, {J. R.} and J. Nieto and C. V{\'a}zquez",

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language = "English",

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TY - JOUR

T1 - On the equivalence of the two existing extensions of the leximax criterion to the infinite case

AU - Arlegi, R.

AU - Ballester, M.

AU - Besada, M.

AU - De Miguel, J. R.

AU - Nieto, J.

AU - Vázquez, C.

PY - 2007/12/1

Y1 - 2007/12/1

N2 - Using a common framework, we consider the two existing extensions of the leximax criterion to infinite environments [Arlegi, R., Besada, M., Nieto, J., Vázquez, C., 2005. Freedom of choice: the leximax criterion in the infinite case. Mathematical Social Sciences 49, 1-15; Ballester, M., De Miguel, J.R., 2003. Extending an order to the power set: the leximax criterion. Social Choice and Welfare 21, 63-71], and show that, though the respective definitions of the rules and their axiomatic characterizations appear to differ considerably, they actually propose the same extension of the leximax criterion to the infinite case. © 2007 Elsevier B.V. All rights reserved.

AB - Using a common framework, we consider the two existing extensions of the leximax criterion to infinite environments [Arlegi, R., Besada, M., Nieto, J., Vázquez, C., 2005. Freedom of choice: the leximax criterion in the infinite case. Mathematical Social Sciences 49, 1-15; Ballester, M., De Miguel, J.R., 2003. Extending an order to the power set: the leximax criterion. Social Choice and Welfare 21, 63-71], and show that, though the respective definitions of the rules and their axiomatic characterizations appear to differ considerably, they actually propose the same extension of the leximax criterion to the infinite case. © 2007 Elsevier B.V. All rights reserved.

KW - Leximax

KW - Preferences

KW - Utility

U2 - 10.1016/j.mathsocsci.2007.06.004

DO - 10.1016/j.mathsocsci.2007.06.004

M3 - Article

VL - 54

SP - 238

EP - 243

JO - Mathematical Social Sciences

JF - Mathematical Social Sciences

SN - 0165-4896

IS - 3

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