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Avtomatika i Telemekhanika, 2022, Issue 9, Pages 3–35
DOI: https://doi.org/10.31857/S000523102209001X (Mi at15755) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Surveys

Structured preferences: a literature survey

A. V. Karpovab

a Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, 117997 Russia
b HSE University, Moscow, 101000 Russia
Full-text PDF (350 kB) First page Citations (5)
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DOI: https://doi.org/10.31857/S000523102209001X
Abstract: A survey of papers on practically significant restrictions on the preference profile of a collective is carried out, including single-peaked preferences, group-separable preferences, preferences with the single-crossing property, and Euclidean preferences and their extensions. Both ordinal and dichotomous preferences are considered. For structured preferences, we present characterization in terms of forbidden subprofiles and the probability of the appearance of a profile with a given property. For group-separable preferences, we describe an algorithm for constructing a hierarchical tree. Structured preferences leading to a unique stable matching in the marriage problem are considered separately.
Keywords: preference domain, matching, single-peakedness.
Funding agency Grant number
HSE Basic Research Program
This article is an output of a research project implemented as part of the Basic Research Program at the National Research University Higher School of Economics (HSE University).
Presented by the member of Editorial Board: F. T. Aleskerov

Received: 14.05.2021
Revised: 03.04.2022
Accepted: 28.04.2022
English version:
Automation and Remote Control, 2022, Volume 83, Issue 9, Pages 1329–1354
DOI: https://doi.org/10.1134/S0005117922090016
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Karpov, “Structured preferences: a literature survey”, Avtomat. i Telemekh., 2022, no. 9, 3–35; Autom. Remote Control, 83:9 (2022), 1329–1354
Citation in format AMSBIB
\Bibitem{Kar22}
\by A.~V.~Karpov
\paper Structured preferences: a literature survey
\jour Avtomat. i Telemekh.
\yr 2022
\issue 9
\pages 3--35
\mathnet{http://mi.mathnet.ru/at15755}
\crossref{https://doi.org/10.31857/S000523102209001X}
\edn{https://elibrary.ru/AIIVES}
\transl
\jour Autom. Remote Control
\yr 2022
\vol 83
\issue 9
\pages 1329--1354
\crossref{https://doi.org/10.1134/S0005117922090016}
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  • https://www.mathnet.ru/eng/at/y2022/i9/p3
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Avtomatika i Telemekhanika
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    Abstract page:92
    References:26
    First page:14
     
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