The Euler-Equation Approach in Average-Oriented Opinion Dynamics

被引：11

作者：

Mazalov, Vladimir ^{[1
,2
,3
]}

Parilina, Elena ^{[2
,3
,4
]}

机构：

[1] Russian Acad Sci, Karelian Res Ctr, Inst Appl Math Res, 11 Pushkinskaya Str, Petrozavodsk 185910, Russia

[2] Qingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R China

[3] Inst Appl Math Shandong, Qingdao 266071, Peoples R China

[4] St Petersburg State Univ, 7-9 Univ Skaya Nab, St Petersburg 199034, Russia

来源：

MATHEMATICS | 2020年 / 8卷 / 03期

关键词：

opinion dynamics; consensus; linear-quadratic games; Euler-equation approach; INFORMATIONAL CONTROL; SOCIAL NETWORK; CONSENSUS; MODELS;

D O I：

10.3390/math8030355

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the models of average-oriented opinion dynamics. An opinion about an event is distributed among the agents of a social network. There are an optimization problem and two game-theoretical models when players as centers of influence aim to make the opinions of the agents closer to the target ones in a finite time horizon minimizing their costs. The optimization problem and the games of competition for the agents' opinion are linear-quadratic and solved using the Euler-equation approach. The optimal strategies for optimization problem and the Nash equilibria in the open-loop strategies for the games are found. Numerical simulations demonstrate theoretical results.

引用

页数：16

共 15 条

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Blondel, Vincent D.
Hendrickx, Julien M.
Tsitsiklis, John N.
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Yildiz, Aykut
EUROPEAN JOURNAL OF CONTROL, 2024, 75
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Peng, You
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INFORMATION SCIENCES, 2024, 677
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Weng, Lijuan
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Guo, Zhen
Valinejad, Jaber
Cho, Jin-Hee
IEEE TRANSACTIONS ON NETWORK SCIENCE AND ENGINEERING, 2022, 9 (05): : 3775 - 3790
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Koley, Paramita
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Bhattacharya, Sourangshu
Ganguly, Niloy
De, Abir
ACM TRANSACTIONS ON KNOWLEDGE DISCOVERY FROM DATA, 2021, 15 (06)
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Shin, Jae Kyun
ADVANCES IN COMPLEX SYSTEMS, 2014, 17 (06):
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Liu, Jinsi
Zhu, Shengjiao
Wang, Zhihua
Chen, Shixiang
HUMANITIES & SOCIAL SCIENCES COMMUNICATIONS, 2024, 11 (01):
[10] Network-Oriented Modeling of Multi-criteria Homophily and Opinion Dynamics in Social Media
Kozyreva, Olga
Pechina, Anna
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