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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 2020 Issue 10, Pages 149–172 (Mi at15400)

This article is cited in 2 papers

Optimization, System Analysis, and Operations Research

Voting originated social dynamics: quartile analysis of stochastic environment peculiarities

V. M. Maksimova, P. Yu. Chebotarevb

a Moscow Institute of Physics and Technology, Dolgoprudny, Russia
b Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

Abstract: The model of voting originated social dynamics in a stochastic environment (the ViSE model) is considered. Within this model, the influence of the heaviness of distribution tails on the effectiveness of egoistic and altruistic strategies in terms of maximizing two criteria, the average capital increment and the number of non-bankrupt participants, is investigated. Homogeneous societies and four types of distributions used to generate proposals (Gaussian, logistic, Student's with 3 degrees of freedom, and symmetrized Pareto distributions) are studied. To assess the effect of tail heaviness, all distributions are unified by quartile using scatter. Such an approach can be used to compare the heavy-tailed distributions that are commensurable by density with other distributions under consideration on an interval containing 90% of observations.

Keywords: ViSE model, social dynamics, dynamic voting, stochastic environment, pit of losses, egoism, altruism, heavy-tailed distributions.

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

Received: 16.12.2019
Revised: 29.04.2020
Accepted: 25.05.2020

DOI: 10.31857/S0005231020100062


 English version:
Automation and Remote Control, 2020, 81:10, 1865–1883

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© Steklov Math. Inst. of RAS, 2024