On Some Axioms for Ranking Sets of Alternatives

S. Barbera; C. R. Barrett; Prasanta K. Pattanaik

doi:10.1016/0022-0531(84)90092-9

On Some Axioms for Ranking Sets of Alternatives

S. Barbera^*, C. R. Barrett, Prasanta K. Pattanaik

^*Autor corresponent d’aquest treball

Producció científica: Contribució a revista › Article › Recerca › Avaluat per experts

49 Cites (Scopus)

2 Descàrregues (Pure)

Resum

The problem of extending an ordering on a finite set of alternatives to its power set is considered. It is shown that two fairly mild axioms imply the restrictive condition that every set is equivalent to the set consisting only of its least and greatest elements. A characterisation of all extensions of a linear ordering, which satisfy our two axioms, is made by means of a class of real valued functions defined on integer pairs. The induced orderings are interpreted in terms of choice under uncertainty and an application made to welfare economics.

Idioma original	Anglès
Pàgines (de-a)	301-308
Revista	Journal of economic theory
Volum	33
Número	2
DOIs	https://doi.org/10.1016/0022-0531(84)90092-9
Estat de la publicació	Publicada - d’ag. 1984

Accés al document

10.1016/0022-0531(84)90092-9

Altres arxius i enllaços

Link to publication in Scopus

Com citar-ho

@article{21cb586218404f75a988c2dd2806fa75,

title = "On Some Axioms for Ranking Sets of Alternatives",

abstract = "The problem of extending an ordering on a finite set of alternatives to its power set is considered. It is shown that two fairly mild axioms imply the restrictive condition that every set is equivalent to the set consisting only of its least and greatest elements. A characterisation of all extensions of a linear ordering, which satisfy our two axioms, is made by means of a class of real valued functions defined on integer pairs. The induced orderings are interpreted in terms of choice under uncertainty and an application made to welfare economics.",

author = "S. Barbera and Barrett, \{C. R.\} and Pattanaik, \{Prasanta K.\}",

note = "Funding Information: * We are grateful to the British Academy for financial support which made this collaboration possible. A part of P. K. Pattanaik{\textquoteright}s work was done at the Institute for Advanced Studies, the Hebrew University, Jerusalem. {\textquoteright} Among others see Kannai and Peleg [S], Fishburn 141, Packard [ 121, Heiner and Packard 171, and Barbera and Pattanaik 121.",

year = "1984",

month = aug,

doi = "10.1016/0022-0531(84)90092-9",

language = "English",

volume = "33",

pages = "301--308",

journal = "Journal of economic theory",

issn = "0022-0531",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - On Some Axioms for Ranking Sets of Alternatives

AU - Barbera, S.

AU - Barrett, C. R.

AU - Pattanaik, Prasanta K.

N1 - Funding Information: * We are grateful to the British Academy for financial support which made this collaboration possible. A part of P. K. Pattanaik’s work was done at the Institute for Advanced Studies, the Hebrew University, Jerusalem. ’ Among others see Kannai and Peleg [S], Fishburn 141, Packard [ 121, Heiner and Packard 171, and Barbera and Pattanaik 121.

PY - 1984/8

Y1 - 1984/8

N2 - The problem of extending an ordering on a finite set of alternatives to its power set is considered. It is shown that two fairly mild axioms imply the restrictive condition that every set is equivalent to the set consisting only of its least and greatest elements. A characterisation of all extensions of a linear ordering, which satisfy our two axioms, is made by means of a class of real valued functions defined on integer pairs. The induced orderings are interpreted in terms of choice under uncertainty and an application made to welfare economics.

AB - The problem of extending an ordering on a finite set of alternatives to its power set is considered. It is shown that two fairly mild axioms imply the restrictive condition that every set is equivalent to the set consisting only of its least and greatest elements. A characterisation of all extensions of a linear ordering, which satisfy our two axioms, is made by means of a class of real valued functions defined on integer pairs. The induced orderings are interpreted in terms of choice under uncertainty and an application made to welfare economics.

UR - https://www.scopus.com/pages/publications/0001361599

U2 - 10.1016/0022-0531(84)90092-9

DO - 10.1016/0022-0531(84)90092-9

M3 - Article

AN - SCOPUS:0001361599

SN - 0022-0531

VL - 33

SP - 301

EP - 308

JO - Journal of economic theory

JF - Journal of economic theory

IS - 2

ER -

On Some Axioms for Ranking Sets of Alternatives

Resum

Accés al document

Altres arxius i enllaços

Fingerprint

Com citar-ho