### Выдержка

The paper considers the model of opinion dynamics in the network having a star structure. An opinion about an event is distributed among network agents restricted by the network structure. The agent in the center of the star is influenced by all other agents with equal intensity. The agents located in non-center nodes are influenced only by the agent located in the center of the star. Additionally, it is assumed that there are two players who are not located in the considered network but they influence the agents’ opinions with some intensities which are strategies of the players. The goal of any player is to make opinions of the network agents be closer to the initially given value as much as possible in a finite time interval. The game of competition for opinion is linear-quadratic and is solved using the Euler-equation approach. The Nash equilibrium in open-loop strategies is found. A numerical simulation demonstrates theoretical results.

Язык оригинала | английский |
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Название основной публикации | Mathematical Optimization Theory and Operations Research - 18th International Conference, MOTOR 2019, Proceedings |

Редакторы | Michael Khachay, Panos Pardalos, Yury Kochetov |

Издатель | Springer |

Страницы | 673-684 |

Число страниц | 12 |

ISBN (печатное издание) | 9783030226282 |

DOI | |

Состояние | Опубликовано - 1 янв 2019 |

Событие | 18th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2019 - Ekaterinburg, Российская Федерация Продолжительность: 8 июл 2019 → 12 июл 2019 |

### Серия публикаций

Название | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Том | 11548 LNCS |

ISSN (печатное издание) | 0302-9743 |

ISSN (электронное издание) | 1611-3349 |

### Конференция

Конференция | 18th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2019 |
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Страна | Российская Федерация |

Город | Ekaterinburg |

Период | 8/07/19 → 12/07/19 |

### Отпечаток

### Предметные области Scopus

- Теоретические компьютерные науки
- Компьютерные науки (все)

### Цитировать

*Mathematical Optimization Theory and Operations Research - 18th International Conference, MOTOR 2019, Proceedings*(стр. 673-684). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Том 11548 LNCS). Springer. https://doi.org/10.1007/978-3-030-22629-9_47

}

*Mathematical Optimization Theory and Operations Research - 18th International Conference, MOTOR 2019, Proceedings.*Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), том. 11548 LNCS, Springer, стр. 673-684, Ekaterinburg, Российская Федерация, 8/07/19. https://doi.org/10.1007/978-3-030-22629-9_47

**Game of competition for opinion with two centers of influence.** / Mazalov, Vladimir; Parilina, Elena.

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции

TY - GEN

T1 - Game of competition for opinion with two centers of influence

AU - Mazalov, Vladimir

AU - Parilina, Elena

PY - 2019/1/1

Y1 - 2019/1/1

N2 - The paper considers the model of opinion dynamics in the network having a star structure. An opinion about an event is distributed among network agents restricted by the network structure. The agent in the center of the star is influenced by all other agents with equal intensity. The agents located in non-center nodes are influenced only by the agent located in the center of the star. Additionally, it is assumed that there are two players who are not located in the considered network but they influence the agents’ opinions with some intensities which are strategies of the players. The goal of any player is to make opinions of the network agents be closer to the initially given value as much as possible in a finite time interval. The game of competition for opinion is linear-quadratic and is solved using the Euler-equation approach. The Nash equilibrium in open-loop strategies is found. A numerical simulation demonstrates theoretical results.

AB - The paper considers the model of opinion dynamics in the network having a star structure. An opinion about an event is distributed among network agents restricted by the network structure. The agent in the center of the star is influenced by all other agents with equal intensity. The agents located in non-center nodes are influenced only by the agent located in the center of the star. Additionally, it is assumed that there are two players who are not located in the considered network but they influence the agents’ opinions with some intensities which are strategies of the players. The goal of any player is to make opinions of the network agents be closer to the initially given value as much as possible in a finite time interval. The game of competition for opinion is linear-quadratic and is solved using the Euler-equation approach. The Nash equilibrium in open-loop strategies is found. A numerical simulation demonstrates theoretical results.

KW - Consensus

KW - Game of competition for opinion

KW - Opinion dynamics

UR - http://www.scopus.com/inward/record.url?scp=85067644292&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-22629-9_47

DO - 10.1007/978-3-030-22629-9_47

M3 - Conference contribution

AN - SCOPUS:85067644292

SN - 9783030226282

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 673

EP - 684

BT - Mathematical Optimization Theory and Operations Research - 18th International Conference, MOTOR 2019, Proceedings

A2 - Khachay, Michael

A2 - Pardalos, Panos

A2 - Kochetov, Yury

PB - Springer

ER -