Competition for agents’ opinions in small dynamic systems with limited control:

Цзинцзин Гао

doi:10.21638/spbu10.2024.308

Авторы

Цзинцзин Гао Санкт-Петербургский государственный университет, Российская Федерация, 199034, Санкт-Петербург, Университетская наб., 7–9 https://orcid.org/0000-0001-7575-7110

DOI:

https://doi.org/10.21638/spbu10.2024.308

Аннотация

Исследуется динамическая система конкурентного мнения, представляющая модель социальной сети, развивающейся во времени. Агенты сравнивают свои мнения со средними и формируют новые мнения. Существуют игроки, которые контролируют мнение агентов в социальной сети, и их цель — приблизить мнения в сети к желаемому уровню в течение конечного промежутка времени, минимизируя свои затраты. Особенность представленной модели в том, что игроки могут влиять на агентов в ограниченное число моментов времени. На числовых примерах показано, как игроки могут выбирать моменты влияния из оптимального по Парето множества. Приведены результаты численного моделирования.

Ключевые слова:

конкуренция за мнения, равновесие по Нэшу, динамика мнений, социальная сеть

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