Single-Peaked Choice

W. Bossert; H.J.M. Peters

doi:10.1007/s00199-008-0393-1

Single-Peaked Choice

W. Bossert
, H.J.M. Peters^*

^*Corresponding author for this work

Quantitative Economics

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

Abstract

Single-peaked preferences have played an important role in the literature ever since they were used by black (j polit econ 56:23–34, 1948) to formulate a domain restriction that is sufficient for the exclusion of cycles according to the majority rule. In this paper, we approach single-peakedness from a choice-theoretic perspective. We show that the well-known axiom of independence of irrelevant alternatives (a form of contraction consistency) and a continuity requirement characterize a class of single-peaked choice functions. Moreover, we examine rationalizability and representability of these choice functions.

Original language	English
Pages (from-to)	213-230
Number of pages	18
Journal	Economic Theory
Volume	41
DOIs	https://doi.org/10.1007/s00199-008-0393-1
Publication status	Published - 1 Jan 2009

Access to Document

10.1007/s00199-008-0393-1Licence: CC BY-NC

Cite this

@article{5c5867ed67074c81baac7bbdee26df2f,

title = "Single-Peaked Choice",

abstract = "Single-peaked preferences have played an important role in the literature ever since they were used by black (j polit econ 56:23–34, 1948) to formulate a domain restriction that is sufficient for the exclusion of cycles according to the majority rule. In this paper, we approach single-peakedness from a choice-theoretic perspective. We show that the well-known axiom of independence of irrelevant alternatives (a form of contraction consistency) and a continuity requirement characterize a class of single-peaked choice functions. Moreover, we examine rationalizability and representability of these choice functions.",

author = "W. Bossert and H.J.M. Peters",

year = "2009",

month = jan,

day = "1",

doi = "10.1007/s00199-008-0393-1",

language = "English",

volume = "41",

pages = "213--230",

journal = "Economic Theory",

issn = "0938-2259",

publisher = "Springer New York",

}

TY - JOUR

T1 - Single-Peaked Choice

AU - Bossert, W.

AU - Peters, H.J.M.

PY - 2009/1/1

Y1 - 2009/1/1

N2 - Single-peaked preferences have played an important role in the literature ever since they were used by black (j polit econ 56:23–34, 1948) to formulate a domain restriction that is sufficient for the exclusion of cycles according to the majority rule. In this paper, we approach single-peakedness from a choice-theoretic perspective. We show that the well-known axiom of independence of irrelevant alternatives (a form of contraction consistency) and a continuity requirement characterize a class of single-peaked choice functions. Moreover, we examine rationalizability and representability of these choice functions.

AB - Single-peaked preferences have played an important role in the literature ever since they were used by black (j polit econ 56:23–34, 1948) to formulate a domain restriction that is sufficient for the exclusion of cycles according to the majority rule. In this paper, we approach single-peakedness from a choice-theoretic perspective. We show that the well-known axiom of independence of irrelevant alternatives (a form of contraction consistency) and a continuity requirement characterize a class of single-peaked choice functions. Moreover, we examine rationalizability and representability of these choice functions.

U2 - 10.1007/s00199-008-0393-1

DO - 10.1007/s00199-008-0393-1

M3 - Article

SN - 0938-2259

VL - 41

SP - 213

EP - 230

JO - Economic Theory

JF - Economic Theory

ER -

Single-Peaked Choice

Abstract

Access to Document

Fingerprint

Cite this