An axiomatic characterization of the Slater rule

Burak Can; Mohsen Pourpouneh; Ton Storcken

doi:10.1007/s00355-020-01305-8

An axiomatic characterization of the Slater rule

Burak Can, Mohsen Pourpouneh^*, Ton Storcken

^*Corresponding author for this work

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

95 Downloads (Pure)

Abstract

Despite being a well-studied decision rule, the Slater rule has not been analyzed axiomatically. In this paper, we show that it is the only rule which is unbiased, monotone, tournamental, tie-breaking, and gradual. Thereby we provide a characterization of it for the first time. We also show these axioms to be logically independent.

Original language	English
Pages (from-to)	835-853
Number of pages	19
Journal	Social Choice and Welfare
Volume	56
Issue number	4
Early online date	5 Jan 2021
DOIs	https://doi.org/10.1007/s00355-020-01305-8
Publication status	Published - May 2021

Keywords

PROXIMITY

Access to Document

10.1007/s00355-020-01305-8

Full text Final published version, 4.06 MBLicence: Taverne

Cite this

@article{8e4969a829994142b4d02aae725cc40e,

title = "An axiomatic characterization of the Slater rule",

abstract = "Despite being a well-studied decision rule, the Slater rule has not been analyzed axiomatically. In this paper, we show that it is the only rule which is unbiased, monotone, tournamental, tie-breaking, and gradual. Thereby we provide a characterization of it for the first time. We also show these axioms to be logically independent.",

keywords = "PROXIMITY",

author = "Burak Can and Mohsen Pourpouneh and Ton Storcken",

note = "data source: no data used",

year = "2021",

month = may,

doi = "10.1007/s00355-020-01305-8",

language = "English",

volume = "56",

pages = "835--853",

journal = "Social Choice and Welfare",

issn = "0176-1714",

publisher = "Springer, Cham",

number = "4",

}

TY - JOUR

T1 - An axiomatic characterization of the Slater rule

AU - Can, Burak

AU - Pourpouneh, Mohsen

AU - Storcken, Ton

N1 - data source: no data used

PY - 2021/5

Y1 - 2021/5

N2 - Despite being a well-studied decision rule, the Slater rule has not been analyzed axiomatically. In this paper, we show that it is the only rule which is unbiased, monotone, tournamental, tie-breaking, and gradual. Thereby we provide a characterization of it for the first time. We also show these axioms to be logically independent.

AB - Despite being a well-studied decision rule, the Slater rule has not been analyzed axiomatically. In this paper, we show that it is the only rule which is unbiased, monotone, tournamental, tie-breaking, and gradual. Thereby we provide a characterization of it for the first time. We also show these axioms to be logically independent.

KW - PROXIMITY

U2 - 10.1007/s00355-020-01305-8

DO - 10.1007/s00355-020-01305-8

M3 - Article

SN - 0176-1714

VL - 56

SP - 835

EP - 853

JO - Social Choice and Welfare

JF - Social Choice and Welfare

IS - 4

ER -