谣言的传播:复制因子动力学的博弈论方法

IF 1.1 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Journal of Dynamics and Games Pub Date : 2022-01-01 DOI:10.3934/jdg.2022020

E. Accinelli, L. Quintas, H. Muñiz

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引用次数: 2

摘要

本文研究了一个重复博弈和复制因子动力学来分析一个谣言在由两个群体组成的社会中的传播。一个群体被告知谣言，并将谣言传播给另一个群体。根据每个人的偏好，这种谣言以其原始形式或修改形式传播。我们分析了动态平衡的稳定性。我们得出结论，谣言的传播有三种可能。谣言最终可能会在整个社会中以原来的形式传播，或者被传播者歪曲，或者一部分人长期以原来的形式传播谣言，另一部分人以歪曲的方式传播谣言。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Rumors' spread: A game theoretical approach with the replicator dynamics

In this paper we study a repeated game and the replicator dynamics to analyze the spread of a rumor in a society formed by two populations. One population is informed about a rumor and communicates the rumor to the other population. According to the preferences of each individual, this rumor is communicated in its original or in a modified form. We analyze the stability of dynamic equilibria. We conclude that there are three possibilities for the spread of a rumor. The rumor may end up being disseminated in its original version or being distorted by the diffusers throughout the society, or a part of the population remains in the long term spreading the rumor in its original form and another in a distorted way.

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来源期刊

Journal of Dynamics and Games MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

2.00

自引率

0.00%

发文量

期刊介绍： The Journal of Dynamics and Games (JDG) is a pure and applied mathematical journal that publishes high quality peer-review and expository papers in all research areas of expertise of its editors. The main focus of JDG is in the interface of Dynamical Systems and Game Theory.