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Avtomatika i Telemekhanika, 2021, Issue 5, Pages 139–150
DOI: https://doi.org/10.31857/S0005231021050093 (Mi at15584) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Control in Social Economic Systems

The problem of finding the median preference of individuals in a stochastic model

A. G. Chkhartishviliab

a Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, 117997 Russia
b Keldysh Institute of Applied Mathematics, Moscow, 125047 Russia
Full-text PDF (249 kB) Citations (5)
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DOI: https://doi.org/10.31857/S0005231021050093
Abstract: We consider a model of individual preferences in which the preference of each individual is characterized by a stochastic vector (stochastic model of preferences). Using a sociological survey or analysis of user actions in an online social network, it is possible to obtain the probability distribution of individual preferences. The problem of finding the median preference – a vector that minimizes the expected distance to the preferences of individuals – is posed and solved. It is shown that knowing partial (marginal) distributions is sufficient to find the median preference. Illustrative examples of finding median preferences for the three-dimensional case are provided.
Keywords: individual preferences, stochastic preference model, DLS model, total variation distance, optimization problem, median preference.
Funding agency Grant number
Russian Science Foundation 20-11-20059
This work was supported by the Russian Science Foundation, project no. 20-11-20059, in the part of solving the problem of finding a median preference.
Presented by the member of Editorial Board: F. T. Aleskerov

Received: 22.10.2020
Revised: 09.12.2020
Accepted: 15.01.2021
English version:
Automation and Remote Control, 2021, Volume 82, Issue 5, Pages 853–862
DOI: https://doi.org/10.1134/S000511792105009X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. G. Chkhartishvili, “The problem of finding the median preference of individuals in a stochastic model”, Avtomat. i Telemekh., 2021, no. 5, 139–150; Autom. Remote Control, 82:5 (2021), 853–862
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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