A. G. Chkhartishvili, “The problem of finding the median preference of individuals in a stochastic model”, Avtomat. i Telemekh., 2021, Issue 5,Pages <nobr>139

This article is cited in 6 papers

Control in Social Economic Systems

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

A. G. Chkhartishvili^ab

^a Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, 117997 Russia
^b Keldysh Institute of Applied Mathematics, Moscow, 125047 Russia

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.

Presented by the member of Editorial Board: F. T. Aleskerov

Received: 22.10.2020
Revised: 09.12.2020
Accepted: 15.01.2021

DOI: 10.31857/S0005231021050093