The Optimal Majority Threshold as a Function of the Variation Coefficient of the Environment


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Within the model of social dynamics determined by collective decisions in a stochastic environment (ViSE model), we consider the case of a homogeneous society consisting of classically rational economic agents (or homines economici, or egoists). We present expressions for the optimal majority threshold and the maximum expected capital increment as functions of the parameters of the environment. An estimate of the rate of change of the optimal threshold at zero is given, which is an absolute constant: \(\left( {\sqrt {2/\pi } - \sqrt {\pi /2} } \right)/2\).

作者简介

P. Chebotarev

Trapeznikov Institute of Control Sciences; Moscow Institute of Physics and Technology; Kotelnikov Institute of Radioengineering and Electronics

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Email: pavel4e@gmail.com
俄罗斯联邦, Moscow; Moscow; Moscow

V. Malyshev

Trapeznikov Institute of Control Sciences; Moscow Institute of Physics and Technology; Kotelnikov Institute of Radioengineering and Electronics

Email: pavel4e@gmail.com
俄罗斯联邦, Moscow; Moscow; Moscow

Ya. Tsodikova

Trapeznikov Institute of Control Sciences

Email: pavel4e@gmail.com
俄罗斯联邦, Moscow

A. Loginov

Trapeznikov Institute of Control Sciences

Email: pavel4e@gmail.com
俄罗斯联邦, Moscow

Z. Lezina

Trapeznikov Institute of Control Sciences

Email: pavel4e@gmail.com
俄罗斯联邦, Moscow

V. Afonkin

Trapeznikov Institute of Control Sciences; Moscow Institute of Physics and Technology

Email: pavel4e@gmail.com
俄罗斯联邦, Moscow; Moscow

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